Скінченноелементна модель нелінійної динаміки тіла з тріщиною, береги якої контактують

Abstract

A theoretical approach for finite element modeling of nonlinear dynamics of a body with a crack is considered. The model includes coupling between linear vibrations and nonlinear contact phenomenon that allow examining the localized effects in the vicinity of the crack tip. The derivation of the model is carried out within Continuum Mechanics’ principles. Hamilton’s variation principle and three-dimensional elasticity theory are exploited. The governing equations involve assumptions of small deformations and a material linear elasticity. The electrodynamics problem is formulated based on the finite element method with the explicit time integration scheme for the solution in time. Using the penalty approach is used to impose normal contact constraints onto contactable surfaces.