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陈宜亨

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期刊论文

Conservation laws of the Jk-vector for microcrack damage in piezoelectric materials

陈宜亨Y.H. Chen* T.J. Lu

Y.H. Chen, T.J. Lu International Journal of Solids and Structures 38 (2001) 3233-3249,-0001,():

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摘要/描述

This paper focuses on characterizing damaged anisotropic piezoelectric materials by using the principles of fracture mechanics. The interpretation and evaluation of the two components of the Jk-vector along contours enclosing strongly interacting microcracks in two-dimensional piezoelectric materials are presented. The conservation laws of the Jk-vector established by Budiansky and Rice (ASME J. Appl. Mech. 40 (1973) 201) for traditional non-piezoelectric materials and extended by Chen and Hasebe (Int. J. Fract. 89 (1998) 333) and Chen (Int. J. Solids Struct. 38 (2000a) 3193 and 38 (2000b) 3213) for interacting multiple cracks are reexamined for anisotropic piezoelectric materials containing inter-acting multiple cracks. The interaction problem for arrays of arbitrarily orientated and distributed microcracks subjected to mechanical and electrical loading is studied in detail. The contribution of the second component of the Jk-vector, evaluated in the local coordinate system that is attached to each microcrack, to the Jk-vector evaluated in the global coordinate system is calculated. It is found that the conservation laws of the Jk-vector are still valid in damaged piezoelectric materials, although in the present problem the elastic and electric fields are coupled which add compli-cations to the original formulations by Budiansky and Rice. In other words, the total contributions from the micro-cracks to both components of the Jk-vector evaluated in the global system vanish, provided that the selected closedcontour encloses all microcracks and/or discontinuities.

【免责声明】以下全部内容由[陈宜亨]上传于[2005年08月19日 22时49分51秒],版权归原创者所有。本文仅代表作者本人观点,与本网站无关。本网站对文中陈述、观点判断保持中立,不对所包含内容的准确性、可靠性或完整性提供任何明示或暗示的保证。请读者仅作参考,并请自行承担全部责任。

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