A new domain-independent interaction integral for solving the stress intensity factors of the materials with complex thermo-mechanical interfaces
A new domain-independent interaction integral for solving the stress intensity factors of the materials with complex thermo-mechanical interfaces
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一种新的与域无关的相互作用积分，用于求解具有复杂热机械界面的材料的应力强度因子
DOI：
10.1016/j.euromechsol.2014.09.007
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Takayuki Kitamura
中科院分区：
文献类型：
--
作者：
Hongjun Yu;Takayuki Kitamura
由于力学性质不连续的界面具有区域无关性的特点，区域无关相互作用积分（DII-integral）已成为求解复杂界面材料应力强度因子的一种非常有效的方法。然而，对于热膨胀系数不连续的界面，DII积分失去了与区域无关的特性，这给DII积分在处理热载荷作用下具有复杂热力界面的材料时带来了很大的困难。为了克服这一困难，本文提出了一种零平均应力辅助场，并利用它建立了一种新的DII积分。新的DII积分对于力学性能和热膨胀系数不连续的界面是区域无关的，并且其表达式不包含任何热性能参数。这些特点极大地方便了该方法在求解具有复杂热力界面材料应力强度因子方面的实际应用。最后，将DII积分与扩展有限元法相结合求解绝热裂纹的应力强度因子，以验证其有效性。
Thanks to the feature of being domain-independent for the interfaces with discontinuous mechanical properties, the domain-independent interaction integral (DII-integral) has become a quite effective method to solve the stress intensity factors (SIFs) of the materials with complex interfaces. However, the DII-integral loses its domain-independence feature for the interface with a discontinuous thermal expansion coefficient, which causes a great difficulty in applying the DII-integral to deal with the materials with complex thermo-mechanical interfaces under thermal loading. In order to overcome this difficulty, this paper proposes a zero-mean stress auxiliary field and employs it to establish a new DII-integral. The new DII-integral is domain-independent for the interface with discontinuous mechanical properties as well as discontinuous thermal expansion coefficient, and its expression does not contain any thermal property parameters. These features greatly facilitate its practical application in solving the SIFs of the material with complex thermo-mechanical interfaces. Finally, the DII-integral combined with the extended finite element method (XFEM) are used to solve the SIFs of adiabatic cracks in order to verify its effectiveness.
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