摘要
This paper presents a theory about penalty-equilibrating(PEQ)hybrid element of three dimensions (3-D), and generates a model forthe PEQ hybrid stress 3-D element. By the PEQ ap- proach, the falsestress is avoided and the precision in calculation is raised to alarge extent under the mesh distortion condition without anotheradditional degree of freedom. In the results of numerical ex- amples,the present element is compared with the 8-node hexahedron elementand the optimized hybrid element, and it is proved that ourconclusion is correct. In addition, the penalty-equilibrating hybrid3-D element is taken as a trial to calculate problems of square platebending and incompressibility. The results obtained are satisfactory.
This paper presents a theory about penalty-equilibrating(PEQ)hybrid element of three dimensions (3-D), and generates a model forthe PEQ hybrid stress 3-D element. By the PEQ ap- proach, the falsestress is avoided and the precision in calculation is raised to alarge extent under the mesh distortion condition without anotheradditional degree of freedom. In the results of numerical ex- amples,the present element is compared with the 8-node hexahedron elementand the optimized hybrid element, and it is proved that ourconclusion is correct. In addition, the penalty-equilibrating hybrid3-D element is taken as a trial to calculate problems of square platebending and incompressibility. The results obtained are satisfactory.
