The Multiplicative Decomposition of the Deformation Gradient in Plasticity—Origin and Limitations
The Multiplicative Decomposition of the Deformation Gradient in Plasticity—Origin and Limitations
复制标题
塑性变形梯度的乘法分解——起源与局限性
DOI：
10.1007/978-3-319-19440-0_3
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发表时间：
2015
影响因子：
5.3
通讯作者：
O. Bruhns
中科院分区：
文献类型：
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作者：
O. Bruhns
材料方程的历史以及作为描述材料行为的方法的现代材料理论的发展与连续介质理论的发展密切相关，并与19世纪世纪末工业化的开始有关。一方面，柯西、欧拉、莱布尼茨等人引入了诸如连续介质、应力和应变、可变形体等新概念，并提供了数学方法来描述它们，但工业化的压力以及对更新的、同样可靠的安全发展的需求导致了这样一个事实，即引入了更合适的模型来描述弹塑性行为。在此背景下，本章介绍了上个世纪六七十年代的塑性力学史，并着重介绍了A.E.绿色和P.M. Naghdi，E.H. Lee和J.Mandel对有限塑性理论的现代描述。
The history of material equations and hence the development of present material theory as a method to describe the behavior of materials is closely related to the development of continuum theory and associated with the beginning of industrialization towards the end of the 19th century. While on the one hand new concepts such as continuum, stresses and strains, deformable body etc. were introduced by Cauchy, Euler, Leibniz and others and mathematical methods were provided to their description, the pressure of industrialization with the need to ever newer, and likewise reliably secure, developments has led to the fact that more appropriate models for the description of elastic-plastic behavior were introduced. Upon this background, this Chapter wants to introduce into the history of plasticity of the sixties and seventies of last century, and likewise highlight the eminent contributions of A.E. Green and P.M. Naghdi, E.H. Lee and J. Mandel to a modern description of finite plasticity theory.