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517.96 --- Finite differences. Functional and integral equations --- 517.96 Finite differences. Functional and integral equations --- Finite element method --- Nonlinear mechanics --- Mechanics, Nonlinear --- Mechanics, Analytic --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis

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"This best-selling textbook presents the concepts of continuum mechanics in a simple yet rigorous manner. The book introduces the invariant form as well as the component form of the basic equations and their applications to problems in elasticity, fluid mechanics, and heat transfer, and offers a brief introduction to linear viscoelasticity. The book is ideal for advanced undergraduates and beginning graduate students looking to gain a strong background in the basic principles common to all major engineering fields, and for those who will pursue further work in fluid dynamics, elasticity, plates and shells, viscoelasticity, plasticity, and interdisciplinary areas such as geomechanics, biomechanics, mechanobiology, and nanoscience. The book features derivations of the basic equations of mechanics in invariant (vector and tensor) form and specification of the governing equations to various coordinate systems, and numerous illustrative examples, chapter summaries, and exercise problems. This second edition includes additional explanations, examples, and problems"--

Continuum mechanics

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The development of realistic mathematical models that govern the response of systems or processes is strongly connected to the ability to translate them into meaningful discrete models that allow for a systematic evaluation of various parameters of the systems and processes. The second edition of this book has the same objective as the first edition, namely, to facilitate an easy and thorough understanding of the details that are involved in the theoretical formulation, finite element model development and solutions of nonlinear problems.

Finite element method --- Nonlinear mechanics --- Finite element method. --- Nonlinear mechanics.

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This best-selling textbook presents the concepts of continuum mechanics in a simple yet rigorous manner. It introduces the invariant form as well as the component form of the basic equations and their applications to problems in elasticity, fluid mechanics and heat transfer, and offers a brief introduction to linear viscoelasticity. The book is ideal for advanced undergraduates and graduate students looking to gain a strong background in the basic principles common to all major engineering fields, and for those who will pursue further work in fluid dynamics, elasticity, plates and shells, viscoelasticity, plasticity, and interdisciplinary areas such as geomechanics, biomechanics, mechanobiology and nanoscience. The book features derivations of the basic equations of mechanics in invariant (vector and tensor) form and specification of the governing equations to various co-ordinate systems, and numerous illustrative examples, chapter summaries and exercise problems. This second edition includes additional explanations, examples and problems.

Continuum mechanics

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Engineering mathematics. --- Algèbre linéaire --- Algebras, Linear --- Algèbre linéaire --- Analyse fonctionnelle --- Functional analysis --- Algèbre linéaire. --- Calcul des variations --- Mathématiques de l'ingénieur