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首页> 外文期刊>International Journal of Solids and Structures >Transient thermal shock fracture analysis of functionally graded piezoelectric materials by the extended finite element method
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Transient thermal shock fracture analysis of functionally graded piezoelectric materials by the extended finite element method

机译：功能梯度压电材料瞬态热冲击断裂的扩展有限元分析

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摘要

Transient thermal dynamic analysis of stationary cracks in functionally graded piezoelectric materials(FGPMs) based on the extended finite element method (X-FEM) is presented. Both heating and cooling shocks are considered. The material properties are supposed to vary exponentially along specific direction while the crack-faces are assumed to be adiabatic and electrically impermeable. A dynamic X-FEM model is developed in which both Crank–Nicolson and Newmark time integration methods are used for calculating transient responses of thermal and electromechanical fields respectively. The generalized dynamic intensity factors for the thermal stresses and electrical displacements are extracted by using the interaction integral. The accuracy of the developed approach is verified numerically by comparing the calculated results with reference solutions. Numerical examples with mixed-mode crack problems are analyzed. The effects of the crack-length, poling direction, material gradation, etc. on the dynamic intensity factors are investigated. It shows that the transient dynamic crack behaviors under the cooling shock differ from those under the heating shock. The influence of the thermal shock loading on the dynamic intensity factors is significant.
机译：提出了基于扩展有限元法（X-FEM）的功能梯度压电材料（FGPMs）固定裂纹的瞬态热力学分析。同时考虑加热和冷却冲击。假定材料特性沿特定方向呈指数变化，而裂纹面被认为是绝热且不渗透电的。建立了动态​​X-FEM模型，其中使用Crank–Nicolson和Newmark时间积分方法分别计算热场和机电场的瞬态响应。利用相互作用积分提取了热应力和电位移的广义动态强度因子。通过将计算结果与参考溶液进行比较，对所开发方法的准确性进行了数值验证。分析了具有混合模式裂纹问题的数值示例。研究了裂纹长度，极化方向，材料梯度等对动态强度因子的影响。结果表明，冷却冲击下的瞬态动态裂纹行为与加热冲击下的瞬态动态裂纹行为不同。热冲击载荷对动态强度因子的影响是显着的。

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