Titlebook: Nonlinear Continuum Mechanics of Solids; Fundamental Mathemat Yavuz Başar,Dieter Weichert Book 2000 Springer-Verlag Berlin Heidelberg 2000

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Time derivative,In this section the notion of material time derivative is introduced which is then used to define the velocity and the acceleration vector. Finally the material time derivatives of some geometrical variables such as those of volume, surface and line elements are given in spatial formulation.

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Balance laws,tion. Furthermore the symmetry of the . tensor is shown as a consequence of balance of moment of momentum. Finally the principle of virtual work is derived coupling kinematically admissible virtual deformations with real forces and stresses as weak formulation of the equations of motion.

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Book 2000 of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation, which is almost exclusively used in modern literature. This mathematical tool is presented such that study of the book is possible without permanent reference to other works.

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Deformation,t. Attention is then dedicated to pull-back and push-forward operations which are of major importance for the construction of the LIE-derivatives. Finally the rate of the deformation tensor and the spin tensor are introduced and their geometrical interpretations are given.

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oncepts of permanent interest.The formulation in tensor notaThe aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring young researchers rapidly close to their research area. Accordingly, emph

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Constitutive modelling,ique. The last cited model in turn is used to derive by a similar procedure the . law as the simplest model for elastic materials. Finally, useful connections between the . material law and some nonlinear material models are established again through linearization.

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