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Titlebook: Geometric Continuum Mechanics; Reuven Segev,Marcelo Epstein Book 2020 The Editor(s) (if applicable) and The Author(s), under exclusive lic

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楼主: foresight
发表于 2025-3-28 15:51:57 | 显示全部楼层
Homogenization of Edge-Dislocations as a Weak Limit of de-Rham Currentstheir singular counterparts, de-Rham currents. Isolated dislocations are represented by closed 1-forms with singularities concentrated on submanifolds of co-dimension one (the defect locus), whereas a continuous distribution of dislocations is represented by smooth, non-closed 1-forms. We prove that
发表于 2025-3-28 22:46:28 | 显示全部楼层
A Kinematics of Defects in Solid Crystalsion for this is the need to place quantities that are useful in phenomenological theories of inelastic behaviour (which are many and rather varied) in a general mathematical framework. Partly, too, simple assumptions regarding defective crystal symmetries are inadequate, so a re-evaluation of those
发表于 2025-3-29 02:04:54 | 显示全部楼层
Limits of Distributed Dislocations in Geometric and Constitutive Paradigmsdefects in solids. In one paradigm, the fundamental objects are geometric structures on the body manifold, e.g., an affine connection and a Riemannian metric, which represent its internal microstructure. In the other paradigm, the fundamental object is the constitutive relation; if the constitutive
发表于 2025-3-29 05:33:03 | 显示全部楼层
On the Homogeneity of Non-uniform Material Bodiess non-uniform, however, the material groupoid is generally not differentiable. In such cases, the analysis can be based on a new differential geometric construct called the material distribution, to which we can associate other physically meaningful objects, such as a material foliation, with the he
发表于 2025-3-29 09:53:42 | 显示全部楼层
发表于 2025-3-29 14:25:59 | 显示全部楼层
https://doi.org/10.1007/978-3-662-61590-4heme at a time when there is undoubtedly a growing awareness that problems in many areas of our lives — health, law and order, wealth creation — can only be tackled successfully if choice is exercised and those concerned understand the issues and consequences of their actions and voluntarily decide
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