Autors: Korovaytseva E.A., Pshenichnov, S. G., Bazhlekova E., Zhelyazov, T. A.
Title: NON-STATIONARY WAVES IN A LINEAR-VISCOELASTIC CYLINDER WITH RIGID INCLUSION
Keywords: Laplace transform; non-stationary wave process; relaxation k

Abstract: We have constructed a solution to a non-stationary dynamic problem for a linear-viscoelastic homogeneous infinitely long cylinder with a rigid axial inclusion exposed to an axisymmetric radial load uniformly distributed along the element of cylinder. On the contact surface with a rigid inclusion, the displacements are equal to zero. The hereditary properties of the material of the cylinder are taken into account using the Boltzmann–Volterra linear integral relation, and the Poisson's ratio of the material is considered time-independent. The integral Laplace transform in time is applied to the initial problem and the analysis of the solution in images is carried out. In the case when the hereditary kernel is exponential two-parameter, originals of the displacement and stresses are constructed in a form of series. Asymptotic formulas for the stresses behind the front that first came from the loaded boundary are obtained. The constructed solution to the non-stationary problem is valid ov

References

    Issue

    Problems of Strength and Plasticity, vol. 84, issue 1, pp. 5 – 14, 2022, Russia, Nizhny Novgorod, Lobachevsky State University of Nizhny Novgorod, DOI 18149146/10.32326/1814-9146-2022-84-1-5-14

    Вид: статия в списание, публикация в реферирано издание, индексирана в Scopus