%0 Journal Article
%T The damage coupled thermo-mechanical (TM) model for rock failure process and applications<br>含损伤演化的TM耦合数值模型及其应用研究
%A Cai Kun
%A Zhang Hongwu
%A Chen Biaosong
%A <br>李连崇
%A 唐春安
%A 唐世斌
%A P.-A. Lindqvist
%J 力学学报
%D 2006
%I 
%X Wolff's law in biomechanics states that the bone continually adapts to its mechanical environment through cell-based remodeling of trabecular surfaces and the local microstructure tends to align with the principal directions of the stress. The objective of the present research is to develop a new rule-based method for continuum topology optimization based on Wolff's law. The major ideas of the present approach are as follows. Firstly, the structure is to be optimized as a piece of bone which obeys Wolff's law. Secondly, the process of finding the optimal structural topology is equivalent to the "bone" remodeling/growth process. Thirdly, the remodeling rule can be explained as follows: During the process of growth, at any material point in the structure, if the absolute value of one of its principal strains is out of a given interval of reference strain, then the material in the local microstructure along the corresponding direction should be adjusted. If the absolute values of all its principal strains locate in the interval, the material point is in a state of equilibrium of remodeling. Finally, the global optimization of structure requires all material points to be in the state of remodeling equilibrium under the loading conditions. In order to express the microstructure and the anisotropic behavior of a material point, a second rank positive and definite fabric tensor is introduced. The relative density of a point in design domain expressed by the invariants of the fabric tensor through the mathematical condensation of the porous medium based on the stiffness-equivalence rule is used to display the optimal topology of structure. Examples are given to show the validity and capability of the proposed approach for the optimal topology design of continuum structures.
%K topology optimization
%K rule-based approach
%K Wolff's law
%K porous media
%K fabric tensor
%K anisotropy<br>拓扑优化
%K 准则法
%K Wolff法则
%K 多孔介质
%K 构造张量
%K 各向异性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=5D344E2AD54D14F8&jid=4100DA4A1A3BA1B0CE5AD99AE1DFB420&aid=FBCB18D39732562F&yid=37904DC365DD7266&vid=16D8618C6164A3ED&iid=E158A972A605785F&sid=C4BBAD7A2DCC89BC&eid=68FF5306A8F9C315&journal_id=0459-1879&journal_name=力学学报&referenced_num=2&reference_num=15