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Titlebook: Introduction to Nonlinear Thermomechanics of Solids; Michał Kleiber,Piotr Kowalczyk Textbook 2016 Springer International Publishing Switze

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Textbook 2016d develop some basic algorithms for solving algebraic and ordinary differential equations typical of problems on hand. Theoretical derivations are followed by carefully prepared computational exercises and solutions..
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Introduction to Nonlinear Thermomechanics of Solids
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Fundamental Concepts of Mechanics,Before passing to the core lecture on continuum mechanics in three-dimensional (3D) space, let us first consider a simple one-dimensional model example of a deformable solid.
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Fundamentals of Tensor Algebra and Analysis,The introductory discussion presented in the previous chapter leads to the conclusion that the general formulation of solid mechanics equations requires mathematical background in tensor algebra and analysis.
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Motion, Deformation and Strain in Material Continuum,A fundamental property of material bodies is their spatial location, i.e. the fact that they occupy certain domains in the Euclidean space ..
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Description of Stress State,Force is one of the key notions in mechanics. Forces are interactions between bodies. According to laws of mechanics, presented in the subsequent chapters, action of forces is directly related to motion and deformation of bodies.
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Conservation Laws in Continuum Mechanics,The process of motion and deformation of a continuum must remain in accordance with certain universal (independent of the continuum’s properties) conditions called conservation laws (or conservation rules).
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Constitutive Equations,In the previous sections mathematical description of displacements, strains and stresses in a deformable body as well as the laws governing motion of the body’s particles and of the entire body have been discussed.
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