Determination of displacements on the surface of 3D flat cracks in an unbounded elastic medium

2011 ◽  
Vol 43 (2) ◽  
pp. 161-167
Author(s):  
P. P. Voroshko
Keyword(s):  
Elastic Medium ◽  
Unbounded Elastic Medium

Multilayered Elastic Medium under Axisymmetric Loading and Surface Energy

2019 ◽  
Vol 814 ◽  
pp. 320-326 ◽  
Author(s):  
Kanin Tarntira ◽  
Teerapong Senjuntichai ◽  
Suraparb Keawsawasvong
Keyword(s):  
Surface Energy ◽  
Elastic Medium ◽  
Numerical Solutions ◽  
Integral Transform ◽  
Surface Elasticity ◽  
Layered System ◽  
Axisymmetric Loading ◽  
Elastic Fields ◽  
Solution Scheme

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.

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