Mitigating kinematic locking in the material point method

摘要: The material point method exhibits kinematic locking when traditional linear shape functions are used with a rectangular grid. affects both the strain and stress fields, which can lead to inaccurate results nonphysical behavior. This paper presents new anti-locking approach that mitigates accumulation of fictitious strains stresses, significantly improving response quality all field variables. technique relies on Hu-Washizu multi-field variational principle, separate approximations for volumetric deviatoric portions fields. proposed is validated using series benchmark examples from solid fluid mechanics, demonstrating broad range modeling possibilities within MPM framework combined appropriate techniques algorithms.