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In the context of the linear theory of elasticity with eigenstrains, the radiated fields,

including inertia effects, and the energy-release rates (“driving forces”) of a spherically

expanding and a plane inclusion with constant dilatational eigenstrains are

calculated. The fields of a plane boundary with dilatational eigenstrain moving

from rest in general motion are calculated by a limiting process from the spherical

ones, as the radius tends to infinity, which yield the time-dependent tractions

that need to be applied on the lateral boundaries for the global problem to be

well-posed. The energy-release rate required to move the plane inclusion boundary

(and to create a new volume of eigenstrain) in general motion is obtained here for

a superposed loading of a homogeneous uniaxial tensile stress. This provides the

relation of the applied stress to the boundary velocity through the energy-rate balance

equation, yielding the “equation of motion” (or “kinetic relation”) of the plane

boundary under external tensile axial loading. This energy-rate balance expression

is the counterpart to the Peach-Koehler force on a dislocation plus the “self-force”

of the moving dislocation.