On Inherent Stresses in an Elastic Solid

Abstract

An analysis of inherent stresses in an elastic solid is described assuming inherent strain to be a stress-source. General solutions for two- and three-dimensional cases are obtained and applied in some examples. Theory of inherent stresses has been established using the concept of incompatibility of strain and the results are expressed in terms of "incompatibility tensor" in most cases. In this paper, stress functions including the incompatibility of inherent strain are integrated by parts and stress formulas are presented in terms of "inherent strain". In the inherent stress problems in engineering, the distribution of inherent strain is assumed to be known. The results in this paper may be conveniently applied to practical cases.