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Multilayered Elastic Medium under Axisymmetric Loading and Surface Energy

机译:轴对称负荷和表面能下的多层弹性介质

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This paper presents a solution scheme for analysis of a multilayered elastic medium under axisymmetric loading and surface energy effects by adopting Gurtin-Murdoch surface elasticity theory. Love's strain function and Hankel integral transform are employed to derive the general solutions, and the obtained solutions are employed in the determination of the stiffness matrix for each layer. The global stiffness equation of a multi-layered system is assembled by considering the continuity of traction and displacements at each layer interface. The numerical solutions to the global equation yield displacements and stresses at the interfaces of the layered medium under axisymmetric loading. The accuracy of the proposed solution scheme is verified by comparing with existing solutions. Selected numerical results are presented to demonstrate a significant influence of surface energy on elastic fields of a multilayered elastic medium under axisymmetric loading.
机译:本文介绍了通过采用古霉素默尼翁表面弹性理论分析轴对称负荷和表面能效应下的多层弹性介质的解决方案方案。爱的应变功能和Hankel积分变换用于得出一般溶液,并且所获得的溶液用于测定每层的刚度基质。通过考虑每个层界面处的牵引力和位移的连续性来组装多层系统的全局刚度方程。轴对称负荷下层状介质界面的全局方程产量位移和应力的数值解。通过与现有解决方案进行比较验证所提出的解决方案方案的准确性。提出了选择的数值结果以证明表面能对轴对称负载下的多层弹性介质的弹性场的显着影响。

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