A stabilized nodally integrated tetrahedral

International Journal for Numerical Methods in Engineering

Volumn 67, Issue 6, 2006, Pages 841-867

  Puso, M A ^a   Solberg, J ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

Finite elements; Nodal integration; Tetrahedral elements

Indexed keywords

BENDING (DEFORMATION); COMPRESSIBILITY; COMPUTER SIMULATION; FINITE ELEMENT METHOD; INTEGRATION; PLASTICITY;

ACUTE BENDING; AUTOMATIC MESH GENERATION; NODAL INTEGRATION; TETRAHEDRAL ELEMENTS;

CONTINUUM MECHANICS;

BENDING (DEFORMATION); COMPRESSIBILITY; COMPUTER SIMULATION; CONTINUUM MECHANICS; FINITE ELEMENT METHOD; INTEGRATION; PLASTICITY;

EID: 33747005094     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1651     Document Type: Article

References (23)

1. Dohrmann CR, Heinstein MW, Jung J, Key SW, Witkowski WR. Node-based uniform strain elements for three-node triangular and four-node tetrahedral meshes. International Journal for Numerical Methods in Engineering 2000; 47:1549-1568.
2. Bonet J, Marriot M, Hassan O. An averaged nodal deformation gradient linear tetrahedral element for large strain explicit dynamic applications. Communications in Numerical Methods in Engineering 2001; 17:551-561.
3. Auricchio F, da Beirao Veiga L, Lovadina C, Reali A. An analysis of some mixed-enhanced finite element for plane elasticity. Computer Methods in Applied Mechanics and Engineering 2005; 194:2947-2968.
4. Lovadina C, Auricchio F. On the enhanced strain technique for elasticity problems. Computers and Structures 2003; 81:777-787.
5. Taylor RL. A mixed-enhanced formulation for tetrahedral elements. International Journal for Numerical Methods in Engineering 2000; 47:205-227.
6. Onate E, Rojek J, Taylor RL, Zienkiewicz OC. Finite calculus formulation for incompressible solids using linear triangles and tetrahedra. International Journal for Numerical Methods in Engineering 2004; 59:1473-1500.
7. Cervera M, Chiumenti M, Vaverde Q, Agelet de Saracibar C. Mixed linear/ linear simplicial elements for incompressible elasticity and plasticity. Computer Methods in Applied Mechanics and Engineering 2003; 192:5249-5263.
8. Zienkiewicz OC, Rojek R, Taylor RL, Pastor M. Triangles and tetrahedra in explicit dynamic codes for solids. International Journal for Numerical Methods in Engineering 1986; 43:565-585.
9. de Souza Neto EA, Andrade Pires FM, Owen DRJ. F-bar-based linear triangles and tetrahedra for finite strain analysis of nearly incompressible solids. Part I: formulation and benchmarking. International Journal for Numerical Methods in Engineering 2005; 62:353-383.
10. Thoutireddy P, Molinari JF, Repetto EA, Oriz M. Tetrahedral composite finite elements. International Journal for Numerical Methods in Engineering 2002; 53:1337-1351.
11. Guo Y, Oriz M, Belytschko T, Repetto EA. Triangular composite finite elements. International Journal for Numerical Methods in Engineering 2000; 47:287-316.
12. Bonet J, Burton AJ. A simple average nodal pressure tetrahedral element for incompressible and nearly incompressible dynamic explicit applications. Communications in Numerical Methods in Engineering 1998; 14:437-449.
13. Beissel S, Belytschko T. Nodal integration of the element-free Galerkin method. Computer Methods in Applied Mechanics and Engineering 1996; 139:49-74.
14. Chen JS, Wu CT, Yoon S, You Y. A stabilized conforming nodal integration for Galerkin mesh-free methods. International Journal for Numerical Methods in Engineering 2001; 50:435-466.
15. Mas-Gallic S, Raviart P. A particle method for first order-systems. Numerische Mathematik 1987; 51:323-352.
16. Belytschko T, Krongauz Y, Dolbow J, Gerlach C. On the completeness of the meshfree particle method. International Journal for Numerical Methods in Engineering 1998; 43:785-819.
17. Ciarlet PG. The Finite Element Method for Elliptic Problems. North-Holland: Amsterdam, 2002.
18. Johnson C. Numerical Solution of Partial Differential Equations by the Finite Element Method. North-Holland: Amsterdam, 1987.
19. Taylor RL, Beresford PJ, Wilson EL. A nonconforming element for stress analysis. International Journal for Numerical Methods in Engineering 1976; 10:1211-1219.
20. Hughes TJR. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. Prentice-Hall: Englewood Cliffs, NJ, 1987.
21. Puso MA. A highly efficient enhanced assumed strain physical stabilized hexahedral element. International Journal for Numerical Methods in Engineering 2003; 49:1024-1064.
22. Simo JC, Hughes TJR. Computational Inelasticity. Springer: New York, 1997.
23. Andrade Pires FM, de Souza Neto EA, de la Cuesta Padilla JL. An assessment of the average nodal volume formulation for the analysis of nearly incompressible solids under finite strains. Communications in Numerical Methods in Engineering 2004; 20:569-583.