On dislocations in a special class of generalized elasticity

On dislocations in a special class of generalized elasticity
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关于一类特殊广义弹性中的位错

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发表时间：
2005
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通讯作者：
E. Aifantis
E. Aifantis
中科院分区：
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文献类型：
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作者：
M. Lazar;G. Maugin;E. Aifantis

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本文考虑并比较了特殊类型的梯度弹性、非局部弹性、梯度微极弹性和只有一个梯度系数的非局部微极弹性的静力学理论。文中给出了平衡方程，但不考虑高阶边界条件，因为它们不是所考虑问题所必需的。讨论了弹性力学和微极弹性力学中的梯度理论和非局部理论之间的联系。给出了螺位错和刃位错弹性场的非奇异解。与经典理论不同，弹性变形(变形、应变、弯曲-扭转)以及力和偶应力张量都没有任何奇异性。(2015Wiley-VCH Verlag GmbH&Co.KGaA，Weinheim)
In this paper we consider and compare special classes of static theories of gradient elasticity, nonlocal elasticity, gradient micropolar elasticity and nonlocal micropolar elasticity with only one gradient coefficient. Equilibrium equations are presented but higher‐order boundary conditions are not of concern here, since they are not required for the problems considered. The connection between gradient theory and nonlocal theory is discussed for elasticity as well as for micropolar elasticity. Nonsingular solutions for the elastic fields of screw and edge dislocations are given. Both the elastic deformation (distortion, strain, bend‐twist) and the force and couple stress tensors do not possess any singularity unlike ‘classical’ theories. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)