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In Chap. 3, the equations governing the single-physics, load-deformation problems are presented. The boundary/initial value problem is formally defined. In the present chapter, the finite element method of solving this boundary/initial value problem is described. The notations used in this chapter are similar to those in Chap. 3. While the finite element method is presented in a way that is suitable for both the linear and nonlinear problems, the specific formulations and the application examples in this chapter are restricted to elastic solids. The theory of elasticity for isotropic and anisotropic solids is presented in Chap. 4. Applications to elastoplastic solids are addressed in Chaps. 8 and 10–13.
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Anandarajah, A. (2010). Finite Element Analysis of Solids and Structures. In: Computational Methods in Elasticity and Plasticity. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6379-6_5
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DOI: https://doi.org/10.1007/978-1-4419-6379-6_5
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