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Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Statistics. Papers on this page are organised in collections from 74- through 74S, although not all collections may have papers published in that area at this time. Visit the MSC2010 database from MathScinet for a full list of codes.

Jump to the following areas

74-XX: Mechanics of deformable solids 74Axx: Generalities, axiomatics, foundations of continuum mechanics of solids 74Bxx: Elastic materials 74Cxx: Plastic materials, materials of stress-rate and internal-variable type 74Dxx: Materials of strain-rate type and history type, other materials with memory 74Exx: Material properties given special treatment 74Fxx: Coupling of solid mechanics with other effects 74Gxx: Equilibrium (steady-state) problems 74Hxx: Dynamical problems 74Jxx: Waves 74Kxx: Thin bodies, structures 74Lxx: Special subfields of solid mechanics 74Mxx: Special kinds of problems 74Nxx: Phase transformations in solids 74Pxx: Optimization 74Qxx: Homogenization, determination of effective properties 74Rxx: Fracture and damage 74Sxx: Numerical methods

Mechanics of deformable solids (74-XX)

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Generalities, axiomatics, foundations of continuum mechanics of solids (74axx)

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Article
A global higher regularity result for the static relaxed micromorphic model on smooth domains
Dorothee Knees, Sebastian Owczarek, Patrizio Neff
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Breakdown of electroneutrality in polyelectrolyte gels
Matthew G. Hennessy, Giulia L. Celora, Sarah L. Waters, Andreas Münch, Barbara Wagner
European Journal of Applied Mathematics, Volume 35, Issue 3

Article
WALL STABILIZATION IN MINES BY SPRAY-ON LINERS
D. P. MASON, N. D. FOWKES, R. M. YEMATA, C. A ONYEAGOZIRI, H. YILMAZ
The ANZIAM Journal, Volume 65, Issue 1-2

Article
$n$-coupling mechanisms are sufficient to obtain exponential decay in strain gradient elasticity
Jose R. Fernández, Ramón Quintanilla
European Journal of Applied Mathematics, Volume 34, Issue 6

Article
Modelling, computation and analysis on combustion of explosives
S. SAID, F. T. SMITH, J. P. CURTIS
European Journal of Applied Mathematics, Volume 33, Issue 1

Article
THE MAGNETIC FIELD ABOUT A THREE-DIMENSIONAL BLOCK NEODYMIUM MAGNET
GRAHAM WEIR, GEORGE CHISHOLM, JEROME LEVENEUR
The ANZIAM Journal, Volume 62, Issue 4

Article
Multiscale modelling and homogenisation of fibre-reinforced hydrogels for tissue engineering
M. J. CHEN, L. S. KIMPTON, J. P. WHITELEY, M. CASTILHO, J. MALDA, C. P. PLEASE, S. L. WATERS, H. M. BYRNE
European Journal of Applied Mathematics, Volume 31, Issue 1

Article
A Unified Momentum Equation Approach for Computing Flow-Induced Stresses in Structures with Arbitrarily-Shaped Stationary Boundaries
Haram Yeo, Hyungson Ki
Communications in Computational Physics, Volume 22, Issue 1

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Elastic materials (74Bxx)

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Article
Sobolev regularity of the inverse for minimizers of the neo-Hookean energy satisfying condition INV
Panas Kalayanamit
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
OPTIMAL CONTROL PROBLEMS GOVERNED BY MARGUERRE–VON KÁRMÁN EQUATIONS
MOHAMMED EL AMINE RIAHI, ABDERREZAK GHEZAL
The ANZIAM Journal, Volume 67

Article
Stability of isometric immersions of hypersurfaces
Itai Alpern, Raz Kupferman, Cy Maor
Forum of Mathematics, Sigma, Volume 12

Article
On the lack of compactness in the axisymmetric neo-Hookean model
Marco Barchiesi, Duvan Henao, Carlos Mora-Corral, Rémy Rodiac
Forum of Mathematics, Sigma, Volume 12

Article
Cavitation of a spherical body under mechanical and self-gravitational forces
Pablo V. Negrón–Marrero, Jeyabal Sivaloganathan
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 155, Issue 4

Article
WALL STABILIZATION IN MINES BY SPRAY-ON LINERS
D. P. MASON, N. D. FOWKES, R. M. YEMATA, C. A ONYEAGOZIRI, H. YILMAZ
The ANZIAM Journal, Volume 65, Issue 1-2

Article
Minimal energy for geometrically nonlinear elastic inclusions in two dimensions
Ibrokhimbek Akramov, Hans Knüpfer, Martin Kružík, Angkana Rüland
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 3

Article
Pressure live loads and the variational derivation of linear elasticity
Maria Giovanna Mora, Filippo Riva
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 153, Issue 6

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Plastic materials, materials of stress-rate and internal-variable type (74Cxx)

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Article
Expansions for the linear-elastic contribution to the self-interaction force of dislocation curves
PATRICK VAN MEURS
European Journal of Applied Mathematics, Volume 33, Issue 6

Article
THE MAGNETIC FIELD ABOUT A THREE-DIMENSIONAL BLOCK NEODYMIUM MAGNET
GRAHAM WEIR, GEORGE CHISHOLM, JEROME LEVENEUR
The ANZIAM Journal, Volume 62, Issue 4

Article
A Cartesian Scheme for Compressible Multimaterial Hyperelastic Models with Plasticity
Alexia de Brauer, Angelo Iollo, Thomas Milcent
Communications in Computational Physics, Volume 22, Issue 5

Article
A Second-Order Cell-Centered Lagrangian Method for Two-Dimensional Elastic-Plastic Flows
Jun-Bo Cheng, Yueling Jia, Song Jiang, Eleuterio F. Toro, Ming Yu
Communications in Computational Physics, Volume 22, Issue 5

Article
TRUCK SAFETY BARRIERS FOR MINING SITES
NEVILLE FOWKES, STEVE DURKIN, ANDREW P. BASSOM
The ANZIAM Journal, Volume 59, Issue 1

Article
1D Exact Elastic-Perfectly Plastic Solid Riemann Solver and Its Multi-Material Application
Si Gao, Tiegang Liu
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 3

Article
Stress constraints in simple bodies undergoing large strains: a variational approach
Mariano Giaquinta, Paolo Maria Mariano, Giuseppe Modica
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 145, Issue 6

Article
A MATHEMATICAL MODEL FOR THE LARGE-SCALE TRANSPORT OF HEAT AND WATER IN THE TAUPO VOLCANIC ZONE OF NEW ZEALAND
GRAHAM WEIR
The ANZIAM Journal, Volume 50, Issue 3

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Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74Dxx)

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Article
Polynomial stability of a piezoelectric beam with magnetic effect and a boundary dissipation of the fractional derivative type
Verónica Poblete, Fernando Toledo, Octavio Vera
Proceedings of the Edinburgh Mathematical Society, Volume 66, Issue 1

Article
Quasi-Static Linear Thermo-Viscoelastic Process with Irregular Viscous Dissipation
Farid Messelmi, Abdelbaki Merouani, Hicham Abdelaziz
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 4

Article
Simulating Biofilm Deformation and Detachment with the Immersed Boundary Method
Rangarajan Sudarsan, Sudeshna Ghosh, John M. Stockie, Hermann J. Eberl
Communications in Computational Physics, Volume 19, Issue 3

Article
Boundary effects and large-time behaviour for quasilinear equations with nonlinear damping
Shifeng Geng, Lina Zhang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 145, Issue 5

Article
PREDICTION OF FLUID SLIP AT GRAPHENE AND CARBON NANOTUBE INTERFACES
SRIDHAR KUMAR KANNAM
Bulletin of the Australian Mathematical Society, Volume 89, Issue 1

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Material properties given special treatment (74Exx)

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Article
Convergence of equilibria for bending-torsion models of rods with inhomogeneities
Matthäus Pawelczyk
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 150, Issue 1

Article
Nonlinear Vibration Analysis of Functionally Graded Nanobeam Using Homotopy Perturbation Method
Majid Ghadiri, Mohsen Safi
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 1

Article
Elastic-Plastic Analysis for Functionally Graded Thick-Walled Tube Subjected to Internal Pressure
Libiao Xin, Guansuo Dui, Shengyou Yang, Ying Liu
Advances in Applied Mathematics and Mechanics, Volume 8, Issue 2

Article
ON AN ANTIPLANE CRACK PROBLEM FOR FUNCTIONALLY GRADED ELASTIC MATERIALS
DAVID L. CLEMENTS
The ANZIAM Journal, Volume 52, Issue 1

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Coupling of solid mechanics with other effects (74Fxx)

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Article
A collision result for both non-Newtonian and heat conducting Newtonian compressible fluids
Šárka Nečasová, Florian Oschmann
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 155, Issue 5

Article
Cavitation of a spherical body under mechanical and self-gravitational forces
Pablo V. Negrón–Marrero, Jeyabal Sivaloganathan
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 155, Issue 4

Article
Breakdown of electroneutrality in polyelectrolyte gels
Matthew G. Hennessy, Giulia L. Celora, Sarah L. Waters, Andreas Münch, Barbara Wagner
European Journal of Applied Mathematics, Volume 35, Issue 3

Article
DOUBLE LAYERED COMPRESSIBLE MASKS
N. D. FOWKES, D. P. MASON
The ANZIAM Journal, Volume 65, Issue 1-2

Article
$n$-coupling mechanisms are sufficient to obtain exponential decay in strain gradient elasticity
Jose R. Fernández, Ramón Quintanilla
European Journal of Applied Mathematics, Volume 34, Issue 6

Article
Time-dependent modelling of thin poroelastic films drying on deformable plates
Matthew G. Hennessy, Richard V. Craster, Omar K. Matar
European Journal of Applied Mathematics, Volume 35, Issue 1

Article
Uniqueness for a high order ill posed problem
José R. Fernández, Ramón Quintanilla
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 153, Issue 5

Article
A dynamic thermo-mechanical actuator system with contact and Barber's heat exchange boundary conditions
L. Paoli, M. Shillor
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 151, Issue 2

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Equilibrium (steady-state) problems (74Gxx)

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Article
Sobolev regularity of the inverse for minimizers of the neo-Hookean energy satisfying condition INV
Panas Kalayanamit
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
A global higher regularity result for the static relaxed micromorphic model on smooth domains
Dorothee Knees, Sebastian Owczarek, Patrizio Neff
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
On the lack of compactness in the axisymmetric neo-Hookean model
Marco Barchiesi, Duvan Henao, Carlos Mora-Corral, Rémy Rodiac
Forum of Mathematics, Sigma, Volume 12

Article
Time-dependent modelling of thin poroelastic films drying on deformable plates
Matthew G. Hennessy, Richard V. Craster, Omar K. Matar
European Journal of Applied Mathematics, Volume 35, Issue 1

Article
COMPACTNESS AND STRUCTURE OF ZERO-STATES FOR UNORIENTED AVILES–GIGA FUNCTIONALS
M. Goldman, B. Merlet, M. Pegon, S. Serfaty
Journal of the Institute of Mathematics of Jussieu, Volume 23, Issue 2

Article
Γ-convergence and stochastic homogenization of degenerate integral functionals in weighted Sobolev spaces
Chiara D'Onofrio, Caterina Ida Zeppieri
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 153, Issue 2

Article
Bifurcation of elastic curves with modulated stiffness
K. BRAZDA, G. JANKOWIAK, C. SCHMEISER, U. STEFANELLI
European Journal of Applied Mathematics, Volume 34, Issue 1

Article
Brittle fracture in linearly elastic plates
Stefano Almi, Emanuele Tasso
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 153, Issue 1

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Dynamical problems (74Hxx)

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Article
EMBED IN ENSEMBLE TO RIGOROUSLY AND ACCURATELY HOMOGENIZE QUASI-PERIODIC MULTI-SCALE HETEROGENEOUS MATERIAL
ANTHONY ROBERTS
The ANZIAM Journal, Volume 66, Issue 1

Article
Upper, down, two-sided Lorenz attractor, collisions, merging, and switching
DIEGO BARROS, CHRISTIAN BONATTI, MARIA JOSÉ PACIFICO
Ergodic Theory and Dynamical Systems, Volume 44, Issue 10

Article
The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates
Sili Liu, Wenjun Wang, Huanyao Wen
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 153, Issue 2

Article
Expansions for the linear-elastic contribution to the self-interaction force of dislocation curves
PATRICK VAN MEURS
European Journal of Applied Mathematics, Volume 33, Issue 6

Article
Spectral properties of a beam equation with eigenvalue parameter occurring linearly in the boundary conditions
Ziyatkhan S. Aliyev, Gunay T. Mamedova
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 152, Issue 3

Article
A derivation of the Liouville equation for hard particle dynamics with non-conservative interactions
Benjamin D. Goddard, Tim D. Hurst, Mark Wilkinson
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 151, Issue 3

Article
THE ALTERNATIVE KIRCHHOFF APPROXIMATION IN ELASTODYNAMICS WITH APPLICATIONS IN ULTRASONIC NONDESTRUCTIVE TESTING
L. J. FRADKIN, A. K. DJAKOU, C. PRIOR, M. DARMON, S. CHATILLON, P.-F. CALMON
The ANZIAM Journal, Volume 62, Issue 4

Article
GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR STRONGLY DAMPED WAVE EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS AND BALANCED POTENTIALS
JOSEPH L. SHOMBERG
Bulletin of the Australian Mathematical Society, Volume 99, Issue 3

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Waves (74Jxx)

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Article
Spectral asymptotics for linear elasticity: the case of mixed boundary conditions
Matteo Capoferri, Isabel Mann
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Bifurcation of the travelling wave solutions in a perturbed (1 + 1)-dimensional dispersive long wave equation via a geometric approach
Hang Zheng, Yonghui Xia
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
On symmetric wedge mode of an elastic solid
ALEXANDER NAZAROV, SERGEY NAZAROV, GERMAN ZAVOROKHIN
European Journal of Applied Mathematics, Volume 33, Issue 2

Article
THE ALTERNATIVE KIRCHHOFF APPROXIMATION IN ELASTODYNAMICS WITH APPLICATIONS IN ULTRASONIC NONDESTRUCTIVE TESTING
L. J. FRADKIN, A. K. DJAKOU, C. PRIOR, M. DARMON, S. CHATILLON, P.-F. CALMON
The ANZIAM Journal, Volume 62, Issue 4

Article
Dynamics and topological entropy of 1D Greenberg–Hastings cellular automata
M. KESSEBÖHMER, J. D. M. RADEMACHER, D. ULBRICH
Ergodic Theory and Dynamical Systems, Volume 41, Issue 5

Article
A Novel Multi-Dimensional Limiter for High-Order Finite Volume Methods on Unstructured Grids
Yilang Liu, Weiwei Zhang, Chunna Li
Communications in Computational Physics, Volume 22, Issue 5

Article
New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation
Jinliang Yan, Ming-Chih Lai, Zhilin Li, Zhiyue Zhang
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 2

Article
Near-field Imaging Point-like Scatterers and Extended Elastic Solid in a Fluid
Tao Yin, Guanghui Hu, Liwei Xu
Communications in Computational Physics, Volume 19, Issue 5

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Thin bodies, structures (74Kxx)

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Article
OPTIMAL CONTROL PROBLEMS GOVERNED BY MARGUERRE–VON KÁRMÁN EQUATIONS
MOHAMMED EL AMINE RIAHI, ABDERREZAK GHEZAL
The ANZIAM Journal, Volume 67

Article
Stability of isometric immersions of hypersurfaces
Itai Alpern, Raz Kupferman, Cy Maor
Forum of Mathematics, Sigma, Volume 12

Article
Time-dependent modelling of thin poroelastic films drying on deformable plates
Matthew G. Hennessy, Richard V. Craster, Omar K. Matar
European Journal of Applied Mathematics, Volume 35, Issue 1

Article
Nonrigidity of flat ribbons
Matteo Raffaelli
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 153, Issue 4

Article
Steady states of thin-film equations with van der Waals force with mass constraint
XINFU CHEN, HUIQIANG JIANG, GUOQING LIU
European Journal of Applied Mathematics, Volume 34, Issue 2

Article
Bifurcation of elastic curves with modulated stiffness
K. BRAZDA, G. JANKOWIAK, C. SCHMEISER, U. STEFANELLI
European Journal of Applied Mathematics, Volume 34, Issue 1

Article
Brittle fracture in linearly elastic plates
Stefano Almi, Emanuele Tasso
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 153, Issue 1

Article
Patterns formed in a thin film with spatially homogeneous and non-homogeneous Derjaguin disjoining pressure
ABDULWAHED S. ALSHAIKHI, MICHAEL GRINFELD, STEPHEN K. WILSON
European Journal of Applied Mathematics, Volume 33, Issue 5

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Special subfields of solid mechanics (74Lxx)

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Article
THE ALTERNATIVE KIRCHHOFF APPROXIMATION IN ELASTODYNAMICS WITH APPLICATIONS IN ULTRASONIC NONDESTRUCTIVE TESTING
L. J. FRADKIN, A. K. DJAKOU, C. PRIOR, M. DARMON, S. CHATILLON, P.-F. CALMON
The ANZIAM Journal, Volume 62, Issue 4

Article
MECHANICAL FEEDBACK IN SEASHELL GROWTH AND FORM
A. ERLICH, R. HOWELL, A. GORIELY, R. CHIRAT, D. E. MOULTON
The ANZIAM Journal, Volume 59, Issue 4

Article
Lagrangian Mesh Model with Regridding for Planar Poiseuille Flow
Jingxuan Zhuo, Ricardo Cortez, Robert Dillon
Communications in Computational Physics, Volume 22, Issue 1

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Special kinds of problems (74Mxx)

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Article
Hertzian and adhesive plane models of contact of two inhomogeneous elastic bodies
Y. A. ANTIPOV, S. M. MKHITARYAN
European Journal of Applied Mathematics, Volume 34, Issue 4

Article
A dynamic thermo-mechanical actuator system with contact and Barber's heat exchange boundary conditions
L. Paoli, M. Shillor
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 151, Issue 2

Article
A new class of hyperbolic variational–hemivariational inequalities driven by non-linear evolution equations
STANISŁAW MIGÓRSKI, WEIMIN HAN, SHENGDA ZENG
European Journal of Applied Mathematics, Volume 32, Issue 1

Article
Convergence results for primal and dual history-dependent quasivariational inequalities
Mircea Sofonea, Ahlem Benraouda
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 149, Issue 2

Article
A Second-Order Cell-Centered Lagrangian Method for Two-Dimensional Elastic-Plastic Flows
Jun-Bo Cheng, Yueling Jia, Song Jiang, Eleuterio F. Toro, Ming Yu
Communications in Computational Physics, Volume 22, Issue 5

Article
TRUCK SAFETY BARRIERS FOR MINING SITES
NEVILLE FOWKES, STEVE DURKIN, ANDREW P. BASSOM
The ANZIAM Journal, Volume 59, Issue 1

Article
1D Exact Elastic-Perfectly Plastic Solid Riemann Solver and Its Multi-Material Application
Si Gao, Tiegang Liu
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 3

Article
Numerical Analysis of Inverse Elasticity Problemwith Signorini's Condition
Cong Zheng, Xiaoliang Cheng, Kewei Liang
Communications in Computational Physics, Volume 20, Issue 4

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Phase transformations in solids (74Nxx)

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Article
Fractional time differential equations as a singular limit of the Kobayashi–Warren–Carter system
Yoshikazu Giga, Ayato Kubo, Hirotoshi Kuroda, Jun Okamoto, Koya Sakakibara, Masaaki Uesaka
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Minimal energy for geometrically nonlinear elastic inclusions in two dimensions
Ibrokhimbek Akramov, Hans Knüpfer, Martin Kružík, Angkana Rüland
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 3

Article
On macrosegregation in a binary alloy undergoing solidification shrinkage
Milton Assunção, Michael Vynnycky
European Journal of Applied Mathematics, Volume 35, Issue 1

Article
Crystal flex bases and the RUM spectrum
G. Badri, D. Kitson, S. C. Power
Proceedings of the Edinburgh Mathematical Society, Volume 64, Issue 4

Article
On small-time similarity-solution behaviour in the solidification shrinkage of binary alloys
M. ASSUNÇÃO, M. VYNNYCKY, S.L. MITCHELL
European Journal of Applied Mathematics, Volume 32, Issue 2

Article
Surface energies emerging in a microscopic, two-dimensional two-well problem
Georgy Kitavtsev, Stephan Luckhaus, Angkana Rüland
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 147, Issue 5

Article
A New Weak Galerkin Finite Element Scheme for the Brinkman Model
Qilong Zhai, Ran Zhang, Lin Mu
Communications in Computational Physics, Volume 19, Issue 5

Article
Nucleation barriers at corners for a cubic-to-tetragonal phase transformation
Peter Bella, Michael Goldman
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 145, Issue 4

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Optimization (74Pxx)

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Homogenization, determination of effective properties (74Qxx)

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Article
Homogenization of vectorial free-discontinuity functionals with cohesive type surface terms
Gianni Dal Maso, Davide Donati
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation
Roberta Marziani, Francesco Solombrino
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 4

Article
Γ-convergence and stochastic homogenization of degenerate integral functionals in weighted Sobolev spaces
Chiara D'Onofrio, Caterina Ida Zeppieri
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 153, Issue 2

Article
Convergence of equilibria for bending-torsion models of rods with inhomogeneities
Matthäus Pawelczyk
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 150, Issue 1

Article
Multiscale modelling and homogenisation of fibre-reinforced hydrogels for tissue engineering
M. J. CHEN, L. S. KIMPTON, J. P. WHITELEY, M. CASTILHO, J. MALDA, C. P. PLEASE, S. L. WATERS, H. M. BYRNE
European Journal of Applied Mathematics, Volume 31, Issue 1

Article
Second-Order Two-Scale Computational Method for Nonlinear Dynamic Thermo-Mechanical Problems of Composites with Cylindrical Periodicity
Hao Dong, Junzhi Cui, Yufeng Nie, Zihao Yang
Communications in Computational Physics, Volume 21, Issue 4

Article
Effective Boundary Conditions: A General Strategy and Application to Compressible Flows Over Rough Boundaries
Giulia Deolmi, Wolfgang Dahmen, Siegfried Müller
Communications in Computational Physics, Volume 21, Issue 2

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Fracture and damage (74Rxx)

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Article
Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation
Roberta Marziani, Francesco Solombrino
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 4

Article
Brittle fracture in linearly elastic plates
Stefano Almi, Emanuele Tasso
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 153, Issue 1

Article
Local well-posedness for Frémond’s model of complete damage in elastic solids
GORO AKAGI, GIULIO SCHIMPERNA
European Journal of Applied Mathematics, Volume 33, Issue 2

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Numerical methods (74Sxx)

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Article
Homogenization of vectorial free-discontinuity functionals with cohesive type surface terms
Gianni Dal Maso, Davide Donati
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
A POROUS VISCOELASTIC MODEL FOR THE CELL CYTOSKELETON
CALINA A. COPOS, ROBERT D. GUY
The ANZIAM Journal, Volume 59, Issue 4

Article
A High Order Well-Balanced Finite Volume WENO Scheme for a Blood Flow Model in Arteries
Zhonghua Yao, Gang Li, Jinmei Gao
East Asian Journal on Applied Mathematics, Volume 7, Issue 4

Article
The Modified Ghost Method for Compressible Multi-Medium Interaction with Elastic-Plastic Solid
Zhiwei Feng, Jili Rong, Abouzar Kaboudian, Boo Cheong Khoo
Communications in Computational Physics, Volume 22, Issue 5

Article
Derivation of a Multilayer Approach to Model Suspended Sediment Transport: Application to Hyperpycnal and Hypopycnal Plumes
T. Morales de Luna, E.D. Fernández Nieto, M. J. Castro Díaz
Communications in Computational Physics, Volume 22, Issue 5

Article
Adaptive Dimensionality-Reduction for Time-Stepping in Differential and Partial Differential Equations
Xing Fu, J. Nathan Kutz
Numerical Mathematics: Theory, Methods and Applications, Volume 10, Issue 4

Article
GPU-Accelerated LOBPCG Method with Inexact Null-Space Filtering for Solving Generalized Eigenvalue Problems in Computational Electromagnetics Analysis with Higher-Order FEM
A. Dziekonski, M. Rewienski, P. Sypek, A. Lamecki, M. Mrozowski
Communications in Computational Physics, Volume 22, Issue 4

Article
A Moving Mesh Finite Difference Method for Non-Monotone Solutions of Non-Equilibrium Equations in Porous Media
Hong Zhang, Paul Andries Zegeling
Communications in Computational Physics, Volume 22, Issue 4

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MSC 2010: Mechanics of Deformable Solids

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Mechanics of deformable solids (74-XX)

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Generalities, axiomatics, foundations of continuum mechanics of solids (74axx)

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Elastic materials (74Bxx)

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Plastic materials, materials of stress-rate and internal-variable type (74Cxx)

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Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74Dxx)

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Material properties given special treatment (74Exx)

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Coupling of solid mechanics with other effects (74Fxx)

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Equilibrium (steady-state) problems (74Gxx)

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Dynamical problems (74Hxx)

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Waves (74Jxx)

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Thin bodies, structures (74Kxx)

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Special subfields of solid mechanics (74Lxx)

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Special kinds of problems (74Mxx)

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Phase transformations in solids (74Nxx)

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Optimization (74Pxx)

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Homogenization, determination of effective properties (74Qxx)

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Fracture and damage (74Rxx)

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Numerical methods (74Sxx)

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