Eigenstrain Problems in a Finite Elastic Body

Source abstract

We consider eigenstrain problems as particular cases of boundary value problems with respect to linear elliptic systems of partially differential equations in elastic theory of infinitesimal deformation. The main content of this work is to present an analytical expression for internal stresses caused by eigenstrains in a homogeneous elastic free body. As a special case, a dislocation loop in a bounded media is considered.