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Fracture mechanics of piezoelectric materials
Wang ZQ(王自强); Han XL(韩学礼); Wang, TC (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China.
Source PublicationInternational Journal of Fracture
1999
Volume98Issue:1Pages:15-35
ISSN0376-9429
AbstractThis paper presents an analysis of crack problems in homogeneous piezoelectrics or on the interfaces between two dissimilar piezoelectric materials based on the continuity of normal electric displacement and electric potential across the crack faces. The explicit analytic solutions are obtained for a single crack in an infinite piezoelectric or on the interface of piezoelectric bimaterials. For homogeneous materials it is found that the normal electric displacement D-2, induced by the crack, is constant along the crack faces which depends only on the remote applied stress fields. Within the crack slit, the perturbed electric fields induced by the crack are also constant and not affected by the applied electric displacement fields. For bimaterials, generally speaking, an interface crack exhibits oscillatory behavior and the normal electric displacement D-2 is a complex function along the crack faces. However, for bimaterials, having certain symmetry, in which an interface crack displays no oscillatory behavior, it is observed that the normal electric displacement D-2 is also constant along the crack faces and the electric field E-2 has the singularity ahead of the crack tip and has a jump across the interface. Energy release rates are established for homogeneous materials and bimaterials having certain symmetry. Both the crack front parallel to the poling axis and perpendicular to the poling axis are discussed. It is revealed that the energy release rates are always positive for stable materials and the applied electric displacements have no contribution to the energy release rates.
Subject Area力学
DOI10.1023/A:1018656606554
Indexed BySCI
Language英语
WOS IDWOS:000083192600004
WOS KeywordELLIPTIC CRACK ; CERAMICS ; SOLIDS ; TIP
WOS Research AreaMaterials Science ; Mechanics
WOS SubjectMaterials Science, Multidisciplinary ; Mechanics
Citation statistics
Cited Times:38[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/15805
Collection力学所知识产出(1956-2008)
Corresponding AuthorWang, TC (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China.
Recommended Citation
GB/T 7714
Wang ZQ,Han XL,Wang, TC . Fracture mechanics of piezoelectric materials[J]. International Journal of Fracture,1999,98(1):15-35.
APA 王自强,韩学礼,&Wang, TC .(1999).Fracture mechanics of piezoelectric materials.International Journal of Fracture,98(1),15-35.
MLA 王自强,et al."Fracture mechanics of piezoelectric materials".International Journal of Fracture 98.1(1999):15-35.
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