Modelling of Contact Interaction with Allowance for Nonlinear Compliance in Unilateral Constraints

Lukashevich, A. A.; Lukashevich, Nadezhda; Timokhina, E I

doi:10.1088/1757-899x/463/4/042054

Cited by 6 publications

(1 citation statement)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Taking into account the contact interaction of crack banks significantly affects the stress intensity coefficients used in strength estimations, as well as the stiffness properties of the material in the vicinity of cracks. Most of the existing methods are based on a complex and computationally expensive physical modeling of crack formation and propagation followed by fragmentation of the solid body [3,4,5]. An interactive method for modeling cracks and fragmentation, based on the determination of some regularities and parameters that provide control of the calculation procedure, is presented in [6,7].…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of crack formation and propagation using contact elements

Lukashevich

Lukashevich²

2023

E3S Web Conf.

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

Numerical modeling of crack formation and propagation using contact elements

Lukashevich

Lukashevich²

2023

E3S Web Conf.

View full text Add to dashboard Cite

show abstract

Computational models of contact interaction and fracture using contact finite elements

Lukashevich¹,

Lukashevich²

2023

Iii International Scientific Forum on Computer and Energy Sciences (Wfces 2022)

View full text Add to dashboard Cite

Modelling and numerical solution of problems of structural mechanics with unilateral constraints and friction

Lukashevich

2019

IOP Conf. Ser.: Mater. Sci. Eng.

View full text Add to dashboard Cite

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.

show abstract

Modelling of Contact Interaction with Allowance for Nonlinear Compliance in Unilateral Constraints

Cited by 6 publications

References 6 publications

Numerical modeling of crack formation and propagation using contact elements

Numerical modeling of crack formation and propagation using contact elements

Computational models of contact interaction and fracture using contact finite elements

Modelling and numerical solution of problems of structural mechanics with unilateral constraints and friction

Contact Info

Product

Resources

About