Dynamic Response of Viscoelastic Sphere-Symmetric Problems
With regard to viscoelasticity, we can’t use elastic-viscoelastic corresponding principle in quasi-static situation in view of dynamic response. In allusion to compressible materials, basis equations were applied, and constitutive equations were applied in convolution form, we derived the equations with which displacement function was satisfied, the displacement solution and stress expression in image space were derived by Laplace transforms. We discussed boundary value problems on the condition of the given displacement on the inner surface of the spherical shell, and the solutions were verified in calculating example.
Chaohe Chen, Yong Huang and Guangfan Li
Y. J. Chen and X. C. Shang, "Dynamic Response of Viscoelastic Sphere-Symmetric Problems", Advanced Materials Research, Vols. 243-249, pp. 6007-6010, 2011