TY  - EJOU
AU  - Du, Ting  
AU  - Xu, J. P.  
AU  - Liu, Y.Q.  
AU  - Zhang, Z. B.  

TI  - Solid Element with Four-Point Integration in Plane for Bulk Forming
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2009
VL  - 51
IS  - 2
SN  - 1526-1506

AB  - An eight-node hexahedral element with four-point quadrature in plane is developed using the assumed strain method, which can eliminate volumetric locking of incompressible material and absence of the portion of shear velocity strain related with hourglass mode to suppress hourglass mode and shear locking. In this approach, the radial return algorithm is adopted for more precise calculation of internal forces, stress and strain. In addition, a co-rotational coordinates system is established to make bending simulation much more effective, and the system is applicable to arbitrary 3D anisotropic yield criteria. A large elastic-plastic deformation of unconstrained thick plate bending example is then carried out with the comparison between ASQBI and ADS solid element. Numerical results of thick metal plate ironing and cylindrical piece embossing are remarkably identical to experimental results and less computation (only one hours is needed using new element in this examples while 5.5 hours using DEFORM 3D software) and higher accuracy are obtained using this new solid element by comparing with DEFORM 3D's result, which meets the demand of Shenyang Mint.
KW  - Four-point integration
KW  -  Hexahedral element
KW  -  Volumetric locking
KW  -  Shear locking
KW  -  Hourglass mode
KW  -  Bulk forming

DO  - 10.3970/cmes.2009.051.093