Singular Integral Equations. By N.I. Muskhelishvili. Translated fromthe 2nd Russian edition by J.R.M. Radok. Pp. 447. F1. 28.50. 1953. (Noordhoff, Groningen)

Mathematica--A System for Doing Mathematics by Computer.

Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates

Composites science and technology

THE appearance of a treatise in English upon the mathematical theory of elasticity is an event the potential importance of which may be judged by the that the author, in his frequent suggestions for collateral reading, refers to only three such, those of Southwell, Timoshenko, and Love. In spirit and content Sokolnikoff}s book differs greatly from each and all of these. It may be described by a possible sub-title: “A pure mathematician surveys topics related to certain problems in the mathematical theory of elasticity”. It is symptomatic of the change in outlook of American mathematics over the past few decades. Mathematical Theory Of Elasticity Prof. I. S. Sokolnikoff with the collaboration of Asst. Prof. R. D. Speche. Pp. xi + 373. (New York and London: McGraw-Hill Book Co., Inc., 1946.) 22s. 6d.

Mathematical Theory Of Elasticity

Unique real-variable expressions of the integral kernels in the Somigliana stress identity covering all transversely isotropic elastic materials for 3D BEM

The friction conforming contact problem in three dimensions is formulated using the Boundary Equation Method. Two sources of difficulties arise. The lack of knowledge of the correct partition of the contact zone (sliding and adhesion zones), and the nonlinearity associated to the sliding direction. A procedure to find the correct partition, starting from the adhesion situation, is proposed. The non-linear system of equations is solved applying a Newton-Raphson technique with relaxation. The applicability of the proposed procedure is shown by solving the problem of a punch on an elastic foundation.

Three Dimensional Frictional Conforming Contact Using B.E.M.

Energy-based delamination theory for biaxial loading in the presence of thermal stresses.

On stress singularities induced by the discretization in curved receding contact surfaces: a bem analysis

A new approach for evaluation of the potential gradient in the 2D boundary element method is presented. The two key elements of the procedure developed are, firstly, a new Strongly Singular Boundary Integral Representation of Potential Gradient in complex variable formulation (equivalent to the Cauchy integral representation of analytic functions), and secondly a continuous approximation of the integral density of this representation determined by a local smoothing procedure applied to the data obtained from BEM analysis. Numerical tests show the high accuracy of the recovered value of the tangential derivative of the potential on smooth and non-smooth boundaries. Copyright © 1999 John Wiley & Sons, Ltd.

Federico París

Papers

Unique real-variable expressions of the integral kernels in the Somigliana stress identity covering all transversely isotropic elastic materials for 3D BEM

Three Dimensional Frictional Conforming Contact Using B.E.M.

Energy-based delamination theory for biaxial loading in the presence of thermal stresses.

On stress singularities induced by the discretization in curved receding contact surfaces: a bem analysis

Potential gradient recovery using a local smoothing procedure in the Cauchy integral