Knowledge Management System of Institue of Mechanics, CAS
| Crack propagation in the power-law nonlinear viscoelastic material | |
Zhang SY(张双寅) ; Xiong DY(熊电元); Zhang, SY (reprint author), Chinese Acad Sci, Inst Mech, Beijing 100080, Peoples R China.
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| Source Publication | Applied Mathematics and Mechanics (English Edition)
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| 1997 | |
| Volume | 18Issue:11Pages:1065-1071 |
| ISSN | 0253-4827 |
| Abstract | An analysis on crack creep propagation problem of power-law nonlinear viscoelastic materials is presented. The creep incompressilility assumption is used. To simulate fracture behavior of craze region, it is assumed that in the fracture process zone near the crack tip, the cohesive stress sigma(f) acts upon the crack surfaces and resists crack opening. Through a perturbation method, i. e., by superposing the Mode-I applied force onto a referential uniform stress state, which has a trivial solution and gives no effect on the solution of the original problem, the nonlinear viscoelastic problem is reduced to linear problem. For weak nonlinear materials, for which the power-law index n similar or equal to 1, the expressions of stress and crack surface displacement are derived. Then, the fracture process zone local energy criterion is proposed and based on which the formulas of cracking incubation time t |
| Keyword | Nonlinear Viscoelasticity Creep Incompressibility Perturbation Method Crack Propagation Crack Incubation Time |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000071967700005 |
| WOS Research Area | Mathematics ; Mechanics |
| WOS Subject | Mathematics, Applied ; Mechanics |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/33601 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | Zhang, SY (reprint author), Chinese Acad Sci, Inst Mech, Beijing 100080, Peoples R China. |
| Recommended Citation GB/T 7714 | Zhang SY,Xiong DY,Zhang, SY . Crack propagation in the power-law nonlinear viscoelastic material[J]. Applied Mathematics and Mechanics (English Edition),1997,18,11,:1065-1071. |
| APA | 张双寅,熊电元,&Zhang, SY .(1997).Crack propagation in the power-law nonlinear viscoelastic material.Applied Mathematics and Mechanics (English Edition),18(11),1065-1071. |
| MLA | 张双寅,et al."Crack propagation in the power-law nonlinear viscoelastic material".Applied Mathematics and Mechanics (English Edition) 18.11(1997):1065-1071. |
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