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.
Indentation Problems of Two-Dimensional Anisotropic Thermoelasticity With Perturbed Boundaries
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, Dec. 9, 2001; final revision, Sept. 4, 2002. Associate Editor: J. R. Barber. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Department of Mechanical and Environmental Engineering University of California–Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Chao, C., and Gao, B. (March 27, 2003). "Indentation Problems of Two-Dimensional Anisotropic Thermoelasticity With Perturbed Boundaries ." ASME. J. Appl. Mech. March 2003; 70(2): 169–179. https://doi.org/10.1115/1.1554414
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