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  3. Non-linear Modeling and Analysis of Solids and Structures
  • Cited by 89
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    • Publisher:
      Cambridge University Press
      Publication date:
      June 2012
      August 2009
      ISBN:
      9780511812163
      9780521830546
      DOI:
      https://doi.org/10.1017/CBO9780511812163
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.78kg, 360 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics, Engineering, Fluid Dynamics and Solid Mechanics, Solid Mechanics and Materials
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    Subjects:
    Mathematics, Engineering, Fluid Dynamics and Solid Mechanics, Solid Mechanics and Materials
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    Book description

    This book presents a theoretical treatment of nonlinear behaviour of solids and structures in such a way that it is suitable for numerical computation, typically using the Finite Element Method. Starting out from elementary concepts, the author systematically uses the principle of virtual work, initially illustrated by truss structures, to give a self-contained and rigorous account of the basic methods. The author illustrates the combination of translations and rotations by finite deformation beam theories in absolute and co-rotation format, and describes the deformation of a three-dimensional continuum in material form. A concise introduction to finite elasticity is followed by an extension to elasto-plastic materials via internal variables and the maximum dissipation principle. Finally, the author presents numerical techniques for solution of the nonlinear global equations and summarises recent results on momentum and energy conserving integration of time-dependent problems. Exercises, examples and algorithms are included throughout.

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