The problem of indentation of a wedge-shaped punch

Vladimir B. Vasil’ev
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Vladimir B. Vasil’ev: Novgorod State University, Department of Mathematical Analysis

Chapter Chapter 7 in Wave Factorization of Elliptic Symbols: Theory and Applications, 2000, pp 42-50 from Springer

Abstract: Abstract One important class of problems considered in elasticity theory is the class of so-called contact problems. Its investigation was begun at the end of 19th century; it significantly advanced [67,106,141,142,143,178,202,212] by application of different methods and results of differential and integral equations theory. In recent years methods of integral equations (potential theory) have been greatly extended because, as a rule, contact problems reduce to equations of this type [192,193]. But solution of these integral equations meets with serious mathematical difficulties. A large number of papers is devoted to the study of special types of such equations [106,178] when a punch has fixed form (for example, the punch is circular, elliptical, or wedge-shaped, etc.), and in these papers they develop asymptotic methods of solution.

Keywords: Integral Equation; Neumann Problem; Inverse Fourier Transform; Pseudo Differential Operator; Neumann Series (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1007/978-94-015-9448-6_7

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