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线性硬化材料的界面裂纹裂尖弹塑性应力场 被引量:2

ELASTOPLASTIC STRESS FIELD NEAR THE TIP OF THE INTERFACE CRACK BETWEEN TWO LINEAR HARDENING MATERIALS
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摘要 由全量理论的弹塑性本构方程出发,提出了一种求线性硬化材料裂纹问题的应力函数解法,并求得了线性硬化材料界面裂纹裂尖附近的弹塑性应力场. The elastoplastic field near the tip of an interface crack between two linear hardening materials is deduced from the total strain theory. It is found that the elastoplastic stress field still has oscillatory singularity theoretically. However,for the case of H′/E1 the oscillatory index ε nearly vanishes for plane strain state, and it is quite smaller than that of the elastic case and only related to the hardening coefficient for plane stress state. It must be pointed out that the elastoplastic stress field needs two elastoplastic intensity factors to be described, not one parameter, and this is also true for cracks in homogeneous media.
机构地区 浙江大学力学系
出处 《固体力学学报》 CAS CSCD 北大核心 1998年第3期278-282,共5页 Chinese Journal of Solid Mechanics
基金 国家教委优秀青年教师基金
关键词 塑性 应力强度因子 界面裂纹 线性硬化 应力场 elastoplasticity, stress intensity factor, interface crack, linear hardening, oscillatory singularity, stress function
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参考文献5

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同被引文献11

  • 1许金泉,金烈候,丁皓江.双材料界面端附近的奇异应力场[J].上海力学,1996,17(2):104-110. 被引量:19
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  • 3Li Y C, Wang T C. Higher-order asymptotic field of tension plane-strain nonlinear crack problem. Scientia Sinica (Series A) 1986, 29:941-955 被引量:1
  • 4Xia Lin, Wang Tzuchiang. High-order analysis of crack-tip fields in power law hardening materials. Science in China (Series A), 1994, 37(6): 704-717 被引量:1
  • 5Wei Yueguang, Wang Tzuchiang. Fracture criterion based on the higher-order asymptotic fields. Int J of Fracture, 1995, 73:39 - 50 被引量:1
  • 6Zhang Chunyuan, Zhang Weimin. Elasticity recovery correspondence principle for physically nonlinear viscoelastic problems for a class of materials. Intemational Journal of Solids and Structures, 2001, 38 (47): 8359 ~ 8373 被引量:1
  • 7Zhang Weimin, Zhang Chunyuan. Nonlinear viscoelastic cracktip fields. In: Yichun Zhou, Yuanxian Gu and Zheng Li eds.Mechanics and Material Engineering for Science and Experiments, Beijing: Science Press, 2001: 479 ~ 482 被引量:1
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  • 10张为民.松弛模量与蠕变柔量的实用表达式[J].湘潭大学自然科学学报,1999,21(3):26-28. 被引量:34

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