Nonstationary Dynamic Problems for Elastic and Viscoelastic Piecewise Homogeneous Bodies
The problems of transient wave processes in linearly viscoelastic piecewise homogeneous bodies with small deformations, boundedness of the disturbances propagation region, and creep boundedness of the material of homogeneous components of the bodies are considered The issues related to the construction of solutions of such problems by the method of the integral Laplace transform with respect to time and subsequent reversal are touched upon. The statements about the properties of the Laplace transform simplifying the construction of the originals are formulated. The case when all homogeneous components of the body are linearly elastic is considered.
KeywordsDynamics of viscoelastic bodies Piecewise homogeneous bodies Wave processes
The reported study was funded by Russian Foundation for Basic Research, according to the research projects No. 19-08-00438 a, 18-08-00471 a.
- 4.Songnan, L., Ping, G.: Dynamic response of layered viscoelastic half-space and its application to dynamic foundation problems. Hubnan Daxue Xuebao J. Hunan Univ. 20(1), 57–64 (1993)Google Scholar