An analytical 3D solution for the stresses and the strains in eigenstrained cubic materials. (English) Zbl 0960.74013
The authors derive an analytical three-dimensional solution for the eigenstrain fields inside and outside an inclusion (e.g. spherical one) in a slightly cubic material. The deviation from the isotropic case is measured by a small parameter \(\mu\); expanding the corresponding integral kernel with respect to \(\mu\), all integrations can be performed analytically. Finally, the authors use discrete Fourier transforms to estimate the range of validity of the obtained closed-form solution.
Reviewer: Petre P.Teodorescu (Bucureşti)
MSC:
74B10 | Linear elasticity with initial stresses |
74G10 | Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics |
74E10 | Anisotropy in solid mechanics |