Numerical Decision of Problems of Structural Mechanics with Nonideal Unilateral Constraints

Abstract

Here computational models of contact of elastic systems with the contact finite elements (CFE) in a 2D or 3D frame-rod systems are reviewed. The solution is based on the method of the step-by-step analysis taking into account the character of loading, the complicated conditions of the contact and other factors consideration of which approaches the calculation circuit of the task to the real operating conditions of any structures or construction

Numerical modeling of crack formation and propagation using contact elements

“…The construction of a discrete model of the "indenter-bone" system corresponded to real geometric dimensions. To simulate the contact between the boundary surfaces of the indenter and the bone, T-shaped frame CFE of the "surface-node" type were used, and between the crack banks, L-shaped CFCs were used [15]. The crack propagation direction was calculated using the maximum tangential stress criterion.…”

“…During the indenter implementation, automatic redefinition of the contact elements discretizing the buffer zone between the boundary surfaces of the indenter and the bone is performed. The determination of the current contact zone in this case is carried out using an algorithm of the "master-servant" type [15].…”

“…By splitting the finite element mesh along the sides of the elements lying on one and the other side of the crack guide beam, a fracture surface is formed -a macrocrack. An Lshaped frame contact finite element (figure 1 a) of the "surface-node" type [15] is introduced, connecting the nodes of the opposite mesh cells and modeling the contact interaction of the banks of the macrocrack (figure 1 b). The boundary conditions (3) in terms of forces and displacements for each frame FEM in this case will take the following form [17]:…”

“…. Numerical realization of the contact conditions in cracks, including friction forces and contact pressure, is carried out according to the methods outlined in [15,16,17].…”

Using numerical simulation to analyze the strength properties of the developed demountable body of a trolley

“…The use of a removable reversible body involves the transportation of bulk cargo. Spacer loads of granular bodies in the general case are determined by formulas and constructions given in courses on the statics of granular bodies [12].…”