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首页> 外文期刊>European Journal of Mechanics. A, Solids >Multiple crack interaction problem in magnetoelectroelastic solids
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Multiple crack interaction problem in magnetoelectroelastic solids

机译：磁电弹性固体中的多重裂纹相互作用问题

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摘要

The interaction problem of multiple arbitrarily oriented and distributed cracks in magnetoelectroelastic materials is studied. After deriving the elementary solutions for a finite crack under different loading conditions, the present interaction problem is deduced to a system of integral equations with the aid of the pseudo-traction-electric-displacement-magnetic-induction method (abbreviated as PTEDMIM). After the integral equations are solved numerically by using the Chebyshev numerical integration technique, the three modes of stress intensity factors, the electric displacement intensity factor, the magnetic induction intensity factor as well as the mechanical strain energy release rate are evaluated. Detailed comparisons between the results derived under the compound mechanical-electric-magnetic loading conditions and those derived under purely mechanical loading conditions are performed. Some valuable conclusions are given which are certain to be useful for investigating interaction effect among multiple cracks in magnetoelectroelastic solids.
机译：研究了磁电弹性材料中多个任意分布的裂纹的相互作用问题。在推导了不同载荷条件下的有限裂纹的基本解之后，借助拟牵引电位移磁感应法（简称PTEDMIM）将当前的相互作用问题推导为一个积分方程组。使用Chebyshev数值积分技术对积分方程进行数值求解后，评估了应力强度因子，电位移强度因子，磁感应强度因子以及机械应变能释放率的三种模式。在复合机械电磁负载条件下得出的结果与在纯机械负载条件下得出的结果之间进行了详细的比较。给出了一些有价值的结论，这些结论对于研究磁电弹性固体中多个裂纹之间的相互作用效应是有用的。

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