Titlebook: Mechanics of Deformable Solids; Linear, Nonlinear, A Issam Doghri Textbook 2000 Springer-Verlag Berlin Heidelberg 2000 algorithm.applied me

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Issam Doghrie in 2017. The translation was donewith the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works

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ring. Most of them will be faced with problems of advanced materials and should have a correct understanding of the basic ideas even if they use software to solve them. Students or experts from applied mathematics, materials science and other related fields will also find it useful.978-3-642-08629-8978-3-662-04168-0

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Strain localization,ies, . or . models have been proposed in the literature. In this chapter, we study the above-mentioned issues and give analytical and numerical examples, limiting ourselves to the small-strain case for simplicity.

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Textbook 2000ear mechanics including computational algorithms. Engineering and mathematics are in a reasonable balance: After the simplest possible, intuitive approach follows the mathematical formulation and analysis. Computational methods occupy a good portion of the book. There are several worked out problems

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ts: - theory of linear elasticity - theory of structures - nThree subjects of major interest are contained in this textbook: Linear elasticity, mechanics of structures in linear isotropic elasticity, and nonlinear mechanics including computational algorithms. Engineering and mathematics are in a rea

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Variational formulations, work and energy theorems, . methods (e.g., finite elements) which are used to find approximate solutions to problems that cannot be solved in closed form (i.e., most industrial problems) are . based on the local formulation but on the global formulations which will be developed in Secs. 2.2 to 2.6; this constitutes one of the major interests of this chapter.

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Nonlinear continuum mechanics,es in Chap. 10. In this chapter, we present basic continuum mechanics in the presence of geometric non-linearities, namely finite strains, displacements and rotations. Practical examples are metal forming problems or large displacements of slender beams and thin shells.