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Semi‐infinite moving crack in an orthotropic strip sandwiched between two identical half planes
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2019-12-12 , DOI: 10.1002/zamm.201900202 A. Singh 1 , S. Das 1 , H. Altenbach 2 , E.‐M. Craciun 3
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2019-12-12 , DOI: 10.1002/zamm.201900202 A. Singh 1 , S. Das 1 , H. Altenbach 2 , E.‐M. Craciun 3
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The problem of semi‐infinite moving crack situated in a strip of a linear elastic orthotropic material sandwiched between two identical half planes has been considered. The assumed boundary value problem has been solved to convert it into the standard Wiener‐Hopf equation by using Fourier transform technique. Further the Wiener‐Hopf equation has been solved to obtain analytical expression for stress intensity factor and crack opening displacement at the tip of the crack for plane stress and plane strain cases. The effects of elastic material constants and propagation of the crack tip on stress intensity factor and crack opening displacement at the tip of crack have been displayed graphically for various particular cases for a combination of orthotropic materials.
中文翻译：
夹在两个相同的半平面之间的正交各向异性带中的半无限移动裂纹
考虑了位于夹在两个相同的半平面之间的线性弹性正交各向异性材料带中的半无限移动裂纹问题。通过使用傅立叶变换技术，已解决了假定的边值问题，将其转换为标准的Wiener-Hopf方程。进一步，求解了维纳-霍夫方程，以获得应力强度因子和平面应力和平面应变情况下裂纹尖端处的裂纹开口位移的解析表达式。对于正交异性材料组合的各种特殊情况，已经以图形方式显示了弹性材料常数和裂纹尖端的扩展对应力强度因子和裂纹尖端处的裂纹开口位移的影响。
更新日期：2019-12-12
中文翻译：
夹在两个相同的半平面之间的正交各向异性带中的半无限移动裂纹
考虑了位于夹在两个相同的半平面之间的线性弹性正交各向异性材料带中的半无限移动裂纹问题。通过使用傅立叶变换技术，已解决了假定的边值问题，将其转换为标准的Wiener-Hopf方程。进一步，求解了维纳-霍夫方程，以获得应力强度因子和平面应力和平面应变情况下裂纹尖端处的裂纹开口位移的解析表达式。对于正交异性材料组合的各种特殊情况，已经以图形方式显示了弹性材料常数和裂纹尖端的扩展对应力强度因子和裂纹尖端处的裂纹开口位移的影响。
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