標(biāo)題: Titlebook: Geometrical Foundations of Continuum Mechanics; An Application to Fi Paul Steinmann Book 2015 Springer-Verlag Berlin Heidelberg 2015 Applie [打印本頁(yè)] 作者: 正當(dāng)理由 時(shí)間: 2025-3-21 19:34
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作者: Anticonvulsants 時(shí)間: 2025-3-21 23:24
Types and Causes of Child Labour,nnections. It is emphasized that the integrability conditions and non-integrability measures have clear counterparts in differential geometry. This chapter aims in a concise summary of the previously derived relations and in a juxtaposition of the various cases considered.作者: COLIC 時(shí)間: 2025-3-22 02:09 作者: Hallowed 時(shí)間: 2025-3-22 07:03 作者: nonplus 時(shí)間: 2025-3-22 12:04
https://doi.org/10.1007/978-1-349-19244-1defects in order to capture the hardening of the material. In particular the inclusion of the defect densities other than the dislocation density requires to root the formulation in a second-order continuum description.作者: jaunty 時(shí)間: 2025-3-22 14:29 作者: jaunty 時(shí)間: 2025-3-22 17:36 作者: Carcinogen 時(shí)間: 2025-3-22 21:55 作者: Indigence 時(shí)間: 2025-3-23 03:41 作者: 職業(yè)拳擊手 時(shí)間: 2025-3-23 08:25 作者: 寒冷 時(shí)間: 2025-3-23 13:29 作者: 表否定 時(shí)間: 2025-3-23 16:48
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 作者: Condescending 時(shí)間: 2025-3-23 19:27
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作者: Rejuvenate 時(shí)間: 2025-3-23 22:40
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作者: 漂浮 時(shí)間: 2025-3-24 05:56 作者: 殺子女者 時(shí)間: 2025-3-24 07:04
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作者: 暗指 時(shí)間: 2025-3-24 13:15 作者: 割讓 時(shí)間: 2025-3-24 17:58 作者: agenda 時(shí)間: 2025-3-24 19:21
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作者: pacific 時(shí)間: 2025-3-25 03:04
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作者: 使服水土 時(shí)間: 2025-3-25 05:18 作者: INERT 時(shí)間: 2025-3-25 10:33 作者: 尖牙 時(shí)間: 2025-3-25 15:02 作者: 預(yù)知 時(shí)間: 2025-3-25 18:58 作者: Limited 時(shí)間: 2025-3-25 23:16 作者: Intervention 時(shí)間: 2025-3-26 00:07
Standards for State-Building Interventions,ectors 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 作者: 褻瀆 時(shí)間: 2025-3-26 05:24 作者: BAIT 時(shí)間: 2025-3-26 12:30 作者: 現(xiàn)存 時(shí)間: 2025-3-26 14:31 作者: ANTIC 時(shí)間: 2025-3-26 18:53 作者: Aviary 時(shí)間: 2025-3-26 21:30
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作者: 名字的誤用 時(shí)間: 2025-3-27 03:28
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作者: vasospasm 時(shí)間: 2025-3-27 09:18
https://doi.org/10.1007/978-3-662-46460-1Applied Mathematics; Applied Mechanics; Differential Geometry; Geometrical Foundations of Continuum Mec作者: 冷淡周邊 時(shí)間: 2025-3-27 09:48
978-3-662-46459-5Springer-Verlag Berlin Heidelberg 2015作者: 偽造 時(shí)間: 2025-3-27 16:00 作者: bronchiole 時(shí)間: 2025-3-27 19:56
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作者: ODIUM 時(shí)間: 2025-3-27 23:36
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 作者: 教義 時(shí)間: 2025-3-28 04:53
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作者: Osteons 時(shí)間: 2025-3-28 07:57
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 作者: 賠償 時(shí)間: 2025-3-28 12:39 作者: 尋找 時(shí)間: 2025-3-28 16:23
Representations in Four-, Three-, Two-Spaced detailed to the cases of four-, three- and two-dimensional manifolds. (The case of one-dimensional manifolds, i.e. curves is not of relevance here, since the curvature tensor, that measures solely the internal geometry of a manifold, degenerates to zero in one dimension.) The above manifolds will 作者: 種類(lèi) 時(shí)間: 2025-3-28 22:33
Continuum Kinematics curvilinear coordinates. Expressed in curvilinear coordinates the differential geometry of flat Euclidean space is captured by the Christoffel symbols that take the role of a symmetric and integrable metric connection with associated zero curvature tensor. The position of a physical point together 作者: Dictation 時(shí)間: 2025-3-29 02:06
Elasticityd-order (nonlinear) elasticity. Thereby it shall be noted that both the material and spatial configurations of first- and second-order elasticity ought to be compatible, see Fig. 7.1. Then, two cases may be considered: firstly the material configuration is assumed compatible and the conditions on th
