On the thermomechanics of materials that have multiple natural configurations - Part I: Viscoelasticity and classical plasticity
On the thermomechanics of materials that have multiple natural configurations - Part I: Viscoelasticity and classical plasticity
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DOI：
10.1007/s00033-004-4019-6
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发表时间：
2004-09-01
影响因子：
2
通讯作者：
Srinivasa, AR
中科院分区：
文献类型：
--
作者：
Rajagopal, KR;Srinivasa, AR
许多物体，无论是固体还是流体，都能够在多种配置中无应力，这些配置通过刚体运动彼此不相关。此外，这些物体在这些不同的无应力“自然”配置中可能具有不同的材料对称性。为了描述此类物体的响应，有必要了解这些“自然”配置演化的方式以及一类应力响应函数，这些响应函数是由从这些演化的自然配置测量的运动学量确定的。在这篇评论文章中，我们提供了一个框架来描述此类物体的力学，其“自然配置”在热力学过程中演变。该框架能够描述各种响应，并已用于描述传统的金属塑性、孪生、固体和流体的传统粘弹性、固-固相变、聚合物结晶、多网络聚合物的响应和各向异性液体。弹性固体和粘性流体的经典理论作为该框架的特例被包括在内。在回顾了该框架的显着特征后，我们简要讨论了该框架内的粘弹性、传统塑性、孪生和固相变的状况。
Many bodies, both solid and fluid, are capable of being stress-free in numerous configurations that are not related to each other through a rigid body motion. Moreover, it is possible that these bodies could have different material symmetries in these different stress-free "natural" configurations. In order to describe the response of such bodies, it is necessary to know the manner in which these "natural" configurations evolve as well as a class of response functions for the stress that are determined by kinematical quantities that are measured from these evolving natural configurations. In this review article, we provide a framework to describe the mechanics of such bodies whose "natural configurations" evolve during a thermodynamic process. The framework is capable of describing a variety of responses and has been used to describe traditional metal plasticity, twinning, traditional viscoelasticity of both solids and fluids, solid-to-solid phase transitions, polymer crystallization, response of multi-network polymers, and anisotropic liquids. The classical theories of elastic solids and viscous fluids are included as special cases of the framework. After a review of the salient features of the framework, we briefly discuss the status of viscoelasicity, traditional plasticity, twinning and solid to solid phase transitions within the context of the framework.