期刊
INTERNATIONAL JOURNAL OF PLASTICITY
卷 16, 期 7-8, 页码 951-978出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0749-6419(99)00081-9
关键词
thermomechanics; volumetric growth; stress tensor
A theory of material growth (mass creation and resorption) is presented in which growth is viewed as a local rearrangement of material inhomogeneities described by means of first- and second-order uniformity transplants. An essential role is played by the balance of canonical (material) momentum where the flux is none other than the so-called Eshelby material stress tensor. The corresponding irreversible thermodynamics is expanded. If the constitutive theory of basically elastic materials is only first-order in gradients, diffusion of mass growth cannot be accommodated, and volumetric growth then is essentially governed by the inhomogeneity velocity gradient (first-order transplant theory) while the driving force of irreversible growth is the Eshelby stress or, more precisely, the Mandel stress, although the possible influence of elastic strain and its time rate is not ruled out. The application of various invariance requirements leads to a rather simple and reasonable evolution law for the transplant. In the second-order theory which allows for growth diffusion, a second-order inhomogeneity tensor needs to be introduced but a special theory can be devised where the time evolution of the second-order transplant can be entirely dictated by that of the first-order one, thus avoiding insuperable complications. Differential geometric aspects are developed where needed. (C) 2000 Elsevier Science Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据