Titlebook: Elasticity and Plasticity of Large Deformations; An Introduction Albrecht Bertram Textbook 20123rd edition Springer-Verlag Berlin Heidelber

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Balance Laws,If the mass is sufficiently smooth, then we conclude the existence of a mass density by the theorem of RADON-NIKODYM from measure theory.

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Internal Constraints,Until now we have assumed that the material functionals are defined for any Cprocess in . . However, it is not very likely that there are materials which can be submitted to arbitrarily large deformations without destruction. In all practical cases the functionals can only be identified for a subset of ..

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Hyperelasticity,In this chapter, we will embed elastic theory in a thermo-mechanical setting and draw conclusions from the thermodynamical restrictions on the mechanical theory of elasticity. The starting point is thermo-elasticity.

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Inelasticity,.. A more detailed description of a framework for inelasticity can be found in BERTRAM (1982, 1989), or KRAWIETZ (1986). A comparison of different frameworks is given in BERTRAM (1993, 1999a).

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Albrecht BertramUp to date introduction to the difficult topic on Non-linear Elasticity Finite Plasticity.Thoroughly based on physical and mathematical reason.Avoiding common intuitive approaches.Includes supplementa

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Springer-Verlag Berlin Heidelberg 2012

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Textbook 20123rd editionbeen published. This new edition  refers to the most important results. .  The part on hyperelastic models and anisotropic yield criteria has been enlarged and an outlook on .Material Plasticity. has been added. .