Indentation Problems of Two-Dimensional Anisotropic Thermoelasticity With Perturbed Boundaries-Reference-Cited by-同舟云学术

Indentation Problems of Two-Dimensional Anisotropic Thermoelasticity With Perturbed Boundaries

Published:2003-03-01 Issue:2 Volume:70 Page:169-179
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Chao C.-K.¹,Gao B.¹

Affiliation:

1. Department of Mechanical Engineering, National Taiwan University of Science and Technology, 43, Keelung Road, Section 4, Taipei, Taiwan

Abstract

Complex variable representations in the Stroh formalism are used to analyze the problem of rigid stamp indentation on an irregularly shaped surface of an anisotropic thermoelastic body. The shape of boundary surface considered in this work includes a cosine wave-shaped surface and a triangular hole that are assumed to be slightly different from a straight line and an ellipse, respectively, for which the exact solutions exist. Based on a perturbation technique, an approximate solution for the punch problem of rigid stamp indentation on a wave-shaped surface or a triangular hole that is viewed as being perturbed from a straight line or an elliptical hole is provided. First-order perturbation solutions for both temperature and stress functions are given explicitly. Numerical results of contact stress under the punch face are discussed in detail and shown in graphic form.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/70/2/169/5470393/169_1.pdf

Reference14 articles.

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2. Eshelby, J. D., Read, W. T., and Shockley, W., 1953, “Anisotropic Elasticity With Applications to Dislocation Theory,” Acta Metall., 1, pp. 251–259.

3. Muskhelishvili, N. I., 1953, Some Basic Problems of Mathematical Theory of Elasticity, P. Noordhoff, Groningen.

4. Fan, C. W., and Hwu, C., 1998, “Rigid Stamp Indentation on a Curvilinear Hole Boundary of an Anisotropic Elastic Body,” ASME J. Appl. Mech., 65, pp. 389–397.

5. Hwu, C., and Fan, C. W., 1998, “Mixed Boundary-Value Problems of Two-Dimensional Anisotropic Elasticity With Perturbed Boundaries,” Proc. R. Soc. London, Ser. A, 454, pp. 1269–1282.

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