Non-metric Connection and Metric Anomalies in Materially Uniform Elastic Solids

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• 作者：Ayan Roychowdhury ; Anurag Gupta
• 关键词：Material inhomogeneity ; Non ; metricity ; Metric anomalies ; Crystalline defects ; Point defects
• 刊名：Journal of Elasticity
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：126
• 期：1
• 页码：1-26
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Classical Mechanics; Automotive Engineering;
• 出版者：Springer Netherlands
• ISSN：1573-2681
• 卷排序：126

文摘

Metric anomalies arising from a distribution of point defects (intrinsic interstitials, vacancies, point stacking faults), thermal deformation, biological growth, etc. are well known sources of material inhomogeneity and internal stress. By emphasizing the geometric nature of such anomalies we seek their representations for materially uniform crystalline elastic solids. In particular, we introduce a quasi-plastic deformation framework where the multiplicative decomposition of the total deformation gradient into an elastic and a plastic deformation is established such that the plastic deformation is further decomposed multiplicatively in terms of a deformation due to dislocations and another due to metric anomalies. We discuss our work in the context of quasi-plastic strain formulation and Weyl geometry. We also derive a general form of metric anomalies which yield a zero stress field in the absence of other inhomogeneities and any external sources of stress.