Effect of the hereditary kernel on the solution of linear and nonlinear dynamic problems of hereditary deformable systems

A differential dependence between stresses and deformations is shown to be equivalent, even in the most general case, to integral dependences with regular hereditary kernels that have a serious disadvantage. Numerical results are presented that were obtained by solving dynamic problems of hereditary deformable systems using exponential and weakly singular hereditary kernels.

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