On The Numerical Simulation Of Receding Contact In Multilayered Elastic Structures

Consequences of contact stress and other hazards caused by receding contact have been of concern.With the development of materials science,functionally graded materials have been gradually introduced into the study of contact problems with their unique material properties.At present,the research methods of the functional gradient material receding contact problem still remain in the semi-analysis method of integral transformation.Based on the ABAQUS finite element software,this paper simulates functionally graded materials using linear layering,and numerically solves the concession contact problem of multiple model structures.First,the finite element method was used to solve the problem of concession contact between the functionally graded layer and the homogeneous elastic layer under the action of a circular indenter,and the numerical results of this paper were compared with the semi-analytical results of the existing literature.It is found that the numerical results obtained by the two methods are consistent with each other,and the maximum vertical stress error is only 6.730%.This shows that the method used in this paper can effectively solve the receding contact problem with functional gradient material.Secondly,using flat indenters instead of circular indenters,the finite element method and semi-analytical method were used to investigate in depth the receding contact problem between the functionally graded layer and the homogeneous elastic layer.After verifying the feasibility of the finite element method and semi-analytical method for the model in this case,the advantages and disadvantages of the two methods were compared through numerical examples,and the influencing factors affecting the contact area of each layer were discussed.Finally,considering the definition of functionally graded materials as coatings and extending the two-layer structure to a three-layer structure,the influence of functionally graded coatings on the structural mechanical response was analyzed using the finite element method.The results show that the functional gradient coating with a non-uniform coefficient in the range of [-1,1] fluctuates within 12% of the maximum vertical compressive stress of the concession contact and shows that the range of external load is smaller.The more obvious the effect of regulation and control.The research results of this paper extend the research field of the receding contact problems of multi-layered elastic structures with functionally graded materials,and verify the regulation of structurally mechanical responses of functionally gradient materials to concessional contact problems.Through three different models,an approximate method for the finite element simulation of functionally graded materials based on the ABAQUS software linear stratification method and the stress at the sub-layer interface is taken as the mean value of the neighboring element stress.After systematic analysis to verify the reliability and accuracy of this method.The research results of this paper provide new research methods for the concession contact problems of functionally graded materials.