| POWER LAW NONLINEAR VISCOELASTIC CRACK-TIP FIELDS |
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| 引用本文： | Zhang Weimin Zhang Ping (Institute of Fundamental Mechanics and Material Engineering,Xiangtan University,Xiangtan 411105,China)Zhang Chunyuan (Department of Architectural Engineering,Xiangtan University,Xiangtan 411105,China). POWER LAW NONLINEAR VISCOELASTIC CRACK-TIP FIELDS[J]. Acta Mechanica Solida Sinica, 2003, 16(3): 269-275. DOI: 10.1007/s10338-003-0136-6 |
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| 作者姓名： | Zhang Weimin Zhang Ping (Institute of Fundamental Mechanics and Material Engineering Xiangtan University Xiangtan 411105 China)Zhang Chunyuan (Department of Architectural Engineering Xiangtan University Xiangtan 411105 China) |
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| 作者单位： | Zhang Weimin Zhang Ping (Institute of Fundamental Mechanics and Material Engineering，Xiangtan University，Xiangtan 411105，China)Zhang Chunyuan (Department of Architectural Engineering，Xiangtan University，Xiangtan 411105，China) |
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| 基金项目： | Project supported by the Hunan Natural Science Foundation(Nos.01JJY3001 and 01JJY2001)，Research Item of the Hunan Education Committee(No.01C083)and the Key Item of Hunan Science and Technology Department. |
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| 摘 要： | The aim of this paper is to derive the power law type nonlinear viscoelastic crack-tip fields. For the requirement of later derivation, the HRR singular fields and the high-order asymptotic fields are first examined. That they are essentially the isotropic, incompressible, power law type nonlinear elastic crack-tip fields is illustrated. After a concise review of the elasticity recovery correspondence principle for solving the nonlinear viscoelastic problems, the correspondence principle for solving the crack problems of power law type nonlinear viscoelastic materials under the first type boundary condition is proposed. The solution of the crack-tip stress, strain fields for the power law type nonlinear viscoelastic materials, especially for the modified polypropylene, is obtained.
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| 关 键 词： | 非线性粘弹性 弹性恢复对应原理 HRR 裂缝尖端高次渐近线 弹塑性 断裂机制 幂律 |
POWER LAW NONLINEAR VISCOELASTIC CRACK-TIP FIELDS |
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| Zhang Weimin Zhang Ping. POWER LAW NONLINEAR VISCOELASTIC CRACK-TIP FIELDS[J]. Acta Mechanica Solida Sinica, 2003, 16(3): 269-275. DOI: 10.1007/s10338-003-0136-6 |
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| Authors: | Zhang Weimin Zhang Ping |
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| Affiliation: | (1) Institute of Fundamental Mechanics and Material Engineering, Xiangtan University, 411105 Xiangtan, China;(2) Department of Architectural Engineering, Xiangtan University, 411105 Xiangtan, China |
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| Abstract: | The aim of this paper is to derive the power law type nonlinear viscoelastic crack-tip fields.For the requirement of later derivation,the HRR singular fields and the high-order asymp- totic fields are first examined.That they are essentially the isotropic,incompressible,power law type nonlinear elastic crack-tip fields is illustrated.After a concise review of the elasticity recov- ery correspondence principle for solving the nonlinear viscoelastic problems,the correspondence principle for solving the crack problems of power law type nonlinear viscoelastic materials under the first type boundary condition is proposed.The solution of the crack-tip stress,strain fields for the power law type nonlinear viscoelastic materials,especially for the modified polypropylene, is obtained. |
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| Keywords: | nonlinear viscoelastic elasticity recovery correspondence principle HRR singular fields crack-tip high-order asymptotic fields |
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