Modelling three dimensional dynamic problems using the fournode tetrahedral element with continuous nodal stress  

作　　者：ZHANG GuoHua YANG YongTao 

机构地区：[1]State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics,Chinese Academy of Sciences

出　　处：《Science China(Technological Sciences)》2018年第12期1889-1900,共12页中国科学（技术科学英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.51609240,11572009,51538001,51579235&41472288);the National Basic Research Program of China(Grant No.2014CB047100)

摘　　要：A partition of unity(PU) based four-node tetrahedral element with continuous nodal stress(Tetr4-CNS) was recently proposed for static analysis of three-dimensional solids. By simply using the same mesh as the classical four-node tetrahedral(Tetr4)element, high order global approximation function in the Tetr4-CNS element can be easily constructed without extra nodes or nodal DOFs. In this paper, the Tetr4-CNS element is further applied in the analysis of three dimensional dynamic problems. A series of free vibration and forced vibration problems are solved using the Tetr4-CNS element. The numerical results show that,for regular meshes, accuracy obtained using the Tetr4-CNS element is superior to that obtained using the Tetr4 and eight-node hexahedral(Hexa8) elements. For distorted meshes, the Tetr4-CNS element has better mesh-distortion tolerance than both the Tetr4 and Hexa8 elements.A partition of unity(PU) based four-node tetrahedral element with continuous nodal stress(Tetr4-CNS) was recently proposed for static analysis of three-dimensional solids. By simply using the same mesh as the classical four-node tetrahedral(Tetr4)element, high order global approximation function in the Tetr4-CNS element can be easily constructed without extra nodes or nodal DOFs. In this paper, the Tetr4-CNS element is further applied in the analysis of three dimensional dynamic problems. A series of free vibration and forced vibration problems are solved using the Tetr4-CNS element. The numerical results show that,for regular meshes, accuracy obtained using the Tetr4-CNS element is superior to that obtained using the Tetr4 and eight-node hexahedral(Hexa8) elements. For distorted meshes, the Tetr4-CNS element has better mesh-distortion tolerance than both the Tetr4 and Hexa8 elements.

关 键 词：PARTITION of UNITY TETRAHEDRAL element Tetr4-CNS mesh DISTORTION dynamic problems 

分 类 号：TH[机械工程]