Premium
Determination of Quasi‐Plastic Strains in a Crystalline Plate Based on a Solution of the Inverse Problem of the Theory of Elasticity (One‐Dimensional Case)
Author(s) -
Voloshin A. E.,
Smolsky I. L.
Publication year - 1995
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221920109
Subject(s) - elasticity (physics) , mathematical analysis , inverse problem , mathematics , infinitesimal , inverse , distortion (music) , boundary value problem , distribution (mathematics) , geometry , physics , thermodynamics , amplifier , optoelectronics , cmos
An approximate solution of the inverse problem of the theory of elasticity is considered in terms of distortions for a crystalline plate with a one‐dimensional inhomogeneous distribution of point defects. It is shown that near the plate surface the distribution function of quasi‐plastic strains can be represented as a linear combination of distortion tensor components, up to second‐order infinitesimals. The errors of determining the distribution function using various approximations to a solution of the corresponding direct boundary‐value problem are evaluated. The stability of the solution is demonstrated by reconstruction of the distribution function using a set of simulated topographic images.