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Titlebook: Geometrical Foundations of Continuum Mechanics; An Application to Fi Paul Steinmann Book 2015 Springer-Verlag Berlin Heidelberg 2015 Applie

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https://doi.org/10.1007/978-1-4615-3480-8d-order (nonlinear) elasto-plasticity. Thereby it shall be noted that the intermediate configuration of first- and second-order elasto-plasticity is incompatible, see Fig. 8.1. Then two cases may be considered: firstly the incompatibility of the intermediate configuration is measured based on the no
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Types and Causes of Child Labour,stortions and double-distortions or, likewise, in terms of the (strain) metrics and connections (corresponding to the double-metrics/strains). In analogy, the lack of integrability for the intermediate configuration in firstand second-order elasto-plasticity is captured by non-integrability measures
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https://doi.org/10.1007/978-3-662-46460-1Applied Mathematics; Applied Mechanics; Differential Geometry; Geometrical Foundations of Continuum Mec
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978-3-662-46459-5Springer-Verlag Berlin Heidelberg 2015
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Paul SteinmannComprehensive presentation of the main concepts of differential geometry.Presents applications of differential geometry concepts to nonlinear continuum mechanics.Written by a leading expert in the fie
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Motivation: Linear Crystal Plasticityow. These are translational defects in terms of (primary and secondary) dislocations, rotational defects in terms of disclinations, and (dilatational) point-defects in terms of lattice vacancies or interstitial atoms. Formulations of generalized crystal plasticity incorporate the densities of these
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Preliminariesaffairs for some 2000 years. The advent of differential geometry is associated with the Habilitation lecture of Riemann in 1854. Its further development enabled and cumulated in the formulation of Einstein’s Theory of General Relativity/Gravitation some sixty years later in 1915. However the necessi
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Geometry on Connected Manifoldsectors are distinguished according to their transformation behavior upon changes of coordinates. Since partial derivatives of vectors and covectors do not transform like tensors, the concept of the covariant derivative of tensors, obeying proper tensor transformation behavior, is motivated. This is
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