Modeling of Hertzian contact problems by enriched element-free Galerkin method

In this chapter the enriched element-free Galerkin method (EFGM) is harnessed to model Hertzian contact challenges. The realm of Hertzian contact has long captivated the field of contact mechanics. EFGM, uniquely, avoids complications stemming from different discontinuities, like contact surfaces, in the initial domain discretization phase. This characteristic sidesteps concerns such as mesh distortion and conformal meshing. The penalty mechanism is applied to enforce contact limits. The study diligently crafts precise and efficient MATLAB® codes employing the EFG technique, catering to an array of diverse Hertzian contact issues. Subsequently, a series of two-dimensional Hertzian contact scenarios are addressed through EFGM. The outcomes are meticulously juxtaposed against established analytical solutions available within the literature, facilitating a comprehensive comparative assessment.