Dynamic fracture mechanics

: One encounters difficulties in the solution of integral equations, namely, the occurrence of singularities in the kernel, and the occurence of unknown-type singularities in the solution of the integral equation. Standard methods of approximation based on exactness for polynomials up to a certain degree are very poor, and frequently fail for functions having such singularities. The purpose of this contract was to develop methods for solving integral equations which work well in spite of the presence of singularities. This goal has been accomplished, in that the new approximation methods which were developed do work well in the presence of singularities. (Author)

http://www.dtic.mil/cgi-bin/GetTRDoc?AD=ADA046713&Location=U2&doc=GetTRDoc.pdf

Numerical Solution of Singular Integral Equations.

A Singular Integral Equation

Linear and Non-Linear Deformations of Elastic Solids aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics. Broadly classified into two parts, it includes crack, contact, scattering and wave propagation in linear elastic solids and bending vibration, stability in non-linear elastic solids supported by MATLAB examples. This book is aimed at graduate students and researchers in applied mathematics, solid mechanics, applied mechanics, structural mechanics and includes comprehensive discussion of related analytical/numerical methods.

Rasajit Kumar Bera

Papers

Linear and Non-Linear Deformations of Elastic Solids

Stability Analysis of Thermal Bending and Buckling of Plates Due to Large Deflection

A Modified Approach to the Nonlinear Analysis of Thin Elastic Plates

Stability of Thin Plates Due to Edge Thrust Under Large Deflections, Buckling Being Resisted by a Force Proportional to the Displacement

Large Amplitude Free Vibration of Sandwich Parabolic Plates