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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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Economic Dynamics and Economic Policyortion tensor and the curvature tensor by introducing the dual torsion tensor, the dual contortion tensor, and the double-dual curvature tensor along with the corresponding double-dual Ricci tensor and scalar. Moreover, the relation between the dual torsion and contortion tensors as well as between
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https://doi.org/10.1007/978-1-349-06287-4 the distortion and the double-distortion prove to be governed by the anholonomic object, the torsion, the curvature, and the non-metricity of the embedded manifold. To describe the deviation from integrability four defect density tensors, i.e. the primary and the secondary dislocation density tenso
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Factors Influencing Changes in Productivity,and double-metric) being integrable. The latter leads to nonlinear (and extended) versions of the famous St-Venant compatibility conditions. Comprehensive accounts on first- and second-order elasticity in Euclidean space are provided for the sake of reference at the end of the chapter in two extende
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Geometry on Connected Manifoldsnomic object is introduced as a third-order tensor that is related to the concept of the dislocation density in the sequel. Finally, the fourth-order curvature tensor is derived from considering the parallel transport of vectors and covectors along infinitesimal circuits in the manifold. Various asp
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Continuum Kinematics the distortion and the double-distortion prove to be governed by the anholonomic object, the torsion, the curvature, and the non-metricity of the embedded manifold. To describe the deviation from integrability four defect density tensors, i.e. the primary and the secondary dislocation density tenso
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Elasticityand double-metric) being integrable. The latter leads to nonlinear (and extended) versions of the famous St-Venant compatibility conditions. Comprehensive accounts on first- and second-order elasticity in Euclidean space are provided for the sake of reference at the end of the chapter in two extende
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