MATEC Web Conf.
Volume 206, 20182018 The 3rd International Conference on Civil Engineering and Materials Science (ICCEMS 2018)
|Number of page(s)||5|
|Section||Civil and Structural Engineering|
|Published online||19 September 2018|
Variational Formulation of Interaction between Elastic Plate and Elastic Medium under the Influence of Surface Energy
Applied Mechanics and Structures Research Unit, Department of Civil Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok 10330 Thailand
2 School of Engineering Science, Simon Fraser University, Burnaby V5A 1S6 Canada
A variational formulation of interaction problem is presented in this paper for the analysis of an elastic circular plate under axisymmetric vertical loading resting on an isotropic elastic half-space under the influence of surface energy. The Gurtin-Murdoch surface elasticity theory is adopted to take into account the surface energy effects. The contact surface between the plate and the half-space is assumed to be smooth, and the deflected shape of the plate is represented by a power series of the radial coordinate. The undetermined coefficients in the series are determined through the minimization of the total potential energy functional of the plate-half-space system. The accuracy of the present solution is verified by comparing with existing solutions, and selected numerical results are presented to portray the influence of surface energy effects on interaction between an elastic circular plate and an elastic half-space.
© The Authors, published by EDP Sciences, 2018
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