Three-dimensional kinematic plastic limit analysis with plastic incompressibility and conic programming

Chúng tôi vui mừng thông GS.TSKH Phạm Đức Chính và các đồng nghiệp đã xuất bản công trình có tựa đề “Three-dimensional kinematic plastic limit analysis with plastic incompressibility and conic programming” trên tạp chí International Journal of Non-Linear Mechanics (Elsevier) 

Tóm tắt:

This paper presents a novel extension of the kinematic limit analysis framework by incorporating hydrostatic stress effects into the plastic dissipation function, enabling the modeling of pressure-sensitive failure mechanisms. The associated dissipation function is reformulated to relax the plastic incompressibility constraint, resulting in a generalized optimization problem amenable to second-order cone programming (SOCP). To address volumetric locking in low-order elements, the node-based smoothed finite element method (NS-FEM) is employed, enhancing numerical accuracy and convergence. The proposed formulation is validated through several benchmark problems, including structures with stress concentrations and pressure-dominant states. Results demonstrate the method’s ability to capture both global and localized collapse mechanisms, offering a robust and efficient alternative to classical approaches in the analysis of pressure-sensitive materials and porous structures.