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Abstract
We show that the internal deviatoric stresses within a double coated circular elastic
inhomogeneity can remain uniform when the infinite elastic matrix is subjected to a
uniform remote deviatoric load. The internal uniform stress field remains valid when
the relative thickness of the outer coating is determined through the solution of a
cubic equation for given material parameters and the relative thickness of the inner
coating. The explicit expression for the internal uniform deviatoric stress field within
the circular inhomogeneity is presented and demonstrated graphically. We also
accomplish the design of a harmonic double coated circular inhomogeneity with
internal uniform stresses. In this second design, both the relative thickness of the
outer coating and the ratio of the shear modulus of the matrix to that of the
outer coating are determined by solving two coupled nonlinear equations
numerically.
Keywords
double coated circular inhomogeneity, deviatoric load,
uniform stress field, harmonic inhomogeneity, complex
variable method
Milestones
Received: 9 June 2023
Revised: 8 August 2023
Accepted: 13 August 2023
Published: 25 October 2023
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Publishers).