Open AccessBook
Computational methods in solid mechanics
Alain Curnier
- 01 Jan 1994
84
TL;DR: In this article, the authors proposed a Compact Combination of the Finite Element, Linear Iteration and Finite Difference Methods for solving the one-dimensional Bar Model Problem (Principle of Virtual Work).
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Abstract: Introduction. 1. One-Dimensional Bar Model Problem (Principle of Virtual Work). 2. Spatial Discretisation by the Finite Element Method. 3. Solution of Nonlinearities by the Linear Iteration Method. 4. Time Integration by the Finite Difference Method. 5. Compact Combination of the Finite Element, Linear Iteration and Finite Difference Methods. 6. Two and Three-Dimensional Deformable Solids. Conclusion. Bibliography. Appendix A: List of Symbols. Appendix B: Exercises. Index.
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Citations
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Biomechanical Models for Soft Tissue Simulation
Walter Maurel,Yin Wu,Nadia Magnenat Thalmann,Daniel Thalmann +3 more
- 28 Feb 2003
TL;DR: An overview of biomechanical modeling of human soft tissue using nonlinear theoretical mechanics and incremental finite element methods, useful for computer simulation of the human musculoskeletal system.
231
Large deformation frictional contact mechanics: continuum formulation and augmented Lagrangian treatment
G. Pietrzak,A. Curnier +1 more
TL;DR: In this paper, a complete methodology for the formulation and solution of unilateral contact problem with non-associated, threshold friction between solids undergoing large deformations is presented, which includes a continuum contact mechanics model combined with an augmented Lagrangian method for treating the contact and friction inequality constraints.
214
The biomechanics of the human patella during passive knee flexion.
TL;DR: A comprehensive three-dimensional computer model, based on the finite element method, was developed for analyzing articular biomechanics, which simultaneously computed the joint's kinematics, associated tendinous and ligamentous forces, articular contact pressures and stresses occurring in the joint during its motion.
188
Non-linear viscoelastic laws for soft biological tissues
TL;DR: The development of a conceptual framework to test different viscoelastic constitutive laws is presented, which has the advantage of satisfying a priori the thermodynamic restrictions and is valid for large deformations.
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