Abstract
Interfacial tractions at the interface of two different materials and the initial displacement field over the entire domain are obtained by modifying the potential energy functional with a penalty function, which enforces continuity of the stresses at the interface of two different materials. Based on the initial displacement field and the interfacial tractions, a method to build a continuous stress field over the entire domain has been proposed by combining the modified projection method for the stress-smoothing and the Loubignac-Cantin iteration for the restoration of momentum balance in the smoothed stress fields. Stress analysis is carried out on two examples made of highly dissimilar materials. Results of the analysis show that the proposed method provides an improved continuous stress field over the entire domain, and accurately predicts the nodal stresses at the interface of two different materials. In contrast, the conventional displacement-based finite element method produces significant stress discontinuities at the interface of two different materials. In addition, the total strain energy evaluated from the improved continuous stress field rapidly converges to the exact solution as the number of iterations increases.
Published Version
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