MATHEMATICAL SIMULATION OF THE STRESS AND STRAIN FIELD OF HIP JOINT ELEMENTS UNDER STATIC LOADS AT DIFFERENT STAGES AFTER A TOTAL HIP ARTHROPLASTY

Abstract

An important problem in applied biomechanics involving total hip arthroplasty is to ensure the stable endoprosthesis operation using the results of mathematical simulation of acetabular component – acetabulum interaction. Th goal of this study is to develop finite-element models based on computer tomography data to assess the stress and strain field (SSF) of hip joint elements under service loads after a total arthroplasty. Based on computer tomography data, finite-element models are developed to assess the stress and strain field of hip joint elements at different stages after a total press-fit arthroplasty with the use of a cementless acetabular component pressed into an intact acetabulum.  Two stages are considered; an initial stage immediately after the arthroplasty and a stage of full healing. For the initial stage, different variants of endoprosthesis mounting with account for the presence or absence of subchondral tissue fragments on the acetabulum bottom are considered. For the full healing stage, account is made for adhesion, i.e., the subchondral tissue of the acetabulum growing into the acetabular component surface. The finite-element models developed account for a surface-surface frictionless contact between the hip joint endoprosthesis head and the acetabular component liner, a friction contact between the metal body and the liner, and a contact with the joint motion of the bone tissue contact surfaces in their interaction. Contact interaction between the metal body and the bone tissues of the acetabulum bottom is accounted for as a friction contact at the initial stage and as a contact with the joint motion of the contact surfaces at the full healing stage. The paper presents the results on the SSF of intact-acetabulum hip joint elements after a total arthroplasty for the case of two-leg standing. The proposed models may be used as a basis for further studies of the in-service SSF of hip joint elements after a total arthroplasty with account for acetabulum defects.

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