本文將彈性材料的材料組成律、應變位移關係式、平衡方程式延伸到磁電彈材料，推導出磁電彈的史磋方程，在界面角結構上，依照材料性質、幾何形狀、不同的邊界條件，我們可以得到應力奇異階次，再求出界面角尖端近場解，配合新的應力強度因子定義式，藉由H積分真實解和輔助解且與積分路徑獨立的特性，最後可以求出應力強度因子。

The constitutive law, strain-displacement relation and equilibrium equation of elastic materials can be extended to cover the magneto-electric-elastic materials. We developed a Stroh-like formalism of magneto-electric- elastic materials. Singular orders of interface corners can be determined by material properties, geometry, and boundary conditions.
We developed the near-tip solutions and introduced a new definition of stress intensity factors. In order to avoid the problem of stress singularity around the tip of interface corner, the path-independent H-integral is suggested to overcome the problem. The integral contains two systems: one is the actual system; the other is auxiliary system. It has been proved that H-integral is an efficient and accurate method to calculate the stress intensity factors.

ANSYS 13.0 Documentation: ANSYS Element Reference.
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