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
The article deals with the problems of calculation of elastically deformable systems with unilateral constraints and Coulomb friction. For the numerical solution of the problem, the finite element method is used, the contact interaction is modeled by means of the contact finite elements (CFE) of the frame-rod type. The basic relations and statements of static and dynamic contact problems for the interacting elastic bodies are given. To comply with the limitations under the conditions of ultimate friction-sliding, the method of compensating loads is applied. On the basis of the proposed discrete contact model and step-by-step loading schemes, the numerical algorithms are developed, which allows calculating structures with unilateral constraints and Coulomb friction, both under static and dynamic loads, as well as taking into account the different contact conditions that approximate the calculation scheme to the real operating conditions of a structure or construction. With the help of the proposed approach, numerical solutions of the problem of contact of the structure with the base under dynamic load are obtained and analyzed.
The work is devoted to modeling the process of formation, development and propagation of cracks. Currently, there is a large number of physical and mechanical-mathematical models describing the process of destruction of various materials. In addition to the fracture criteria, it is also important to correctly take into account changes in the rheology of the fractured material, including the contact interaction between the surfaces of cracks and fragments. This paper proposes a numerical approach to solving the problems of contact interaction and brittle fracture of elastically deformable bodies. Crack bank interactions, including frictional forces and contact pressures, is modeled by the means of frame-type contact finite elements (CFE) using a stepwise analysis method. Various contact conditions – separation, clutch, friction-sliding, as well as rheological properties of crack surfaces and fragments – contact layer pliability, adhesion strength, etc. are modeled with the help of CFE. The proposed approach was used in the numerical modeling of bone damage under the penetrating action of a rigid indenter. The conducted numerical studies have shown a good correspondence of the calculated and experimental results, despite the substantial approximation of the used calculation schemes.
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
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