Application of the moment scheme of the finite element method to the solution of problems with initial stresses in the incremental elasticity theory
Source abstract
Abstract
We discuss application of the finite element method to the solution of problems with initial stresses within the elasticity theory. Based on the incremental theory of deformable solids, the relationships of the finite element method are derived to calculate the stiffness matrix coefficients for a prestressed spatial element of the serendip family with quadratic approximation of displacements. The calculation of the stressed state of an eccentrically compressed beam and a round plate under conditions of longitudinal-transverse bending is carried out. Comparison of the numerical results with analytical solutions is presented. The variation in the compression and shear strains of a cylindrical damper is studied depending on the degree of deformation and the sequence of load application.
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Research context
OpenAlex topics: Elasticity and Wave Propagation · Numerical methods in engineering · Contact Mechanics and Variational Inequalities
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References (11)
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