On the use of a reduced enhanced solid-shell (RESS) element for sheet forming simulations

International Journal of Plasticity

Volumn 23, Issue 3, 2007, Pages 490-515

  Alves de Sousa, R J ^a   Yoon, J W ^a,b   Cardoso, R P R ^a   Fontes Valente, R A ^a   Gracio J J ^a  

^a UNIVERSITY OF AVEIRO   (Portugal)

^b ALCOA TECHNICAL CENTER   (United States)

Author keywords

Anisotropy; Finite element method; Finite strain; Mechanical testing; Sheet forming; Solid shell

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; FINITE ELEMENT METHOD; MECHANICAL TESTING; METAL FORMING; PLASTICITY; STRAIN MEASUREMENT;

ANISOTROPIC PLASTICITY; FINITE STRAIN; SHEET FORMING; SPRINGBACK;

SHEET METAL;

EID: 33751536135     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2006.06.004     Document Type: Article

References (51)

1. Alves de Sousa R.J., Natal Jorge R.M., Fontes Valente R.A., and César Sá J.M.A. A new volumetric and shear locking-free EAS element. Engineering Computations 20 (2003) 896-925
2. Alves de Sousa R.J., Cardoso R.P.R., Fontes Valente R.A., Yoon J.W., Grácio J.J., and Natal Jorge R.M. A new one-point quadrature enhanced assumed strain (EAS) solid-shell element with multiple integration points along thickness: Part I - Geometrically Linear Applications. International Journal for Numerical Methods in Engineering 62 (2005) 952-977
3. Alves de Sousa R.J., Cardoso R.P.R., Fontes Valente R.A., Yoon J.W., Grácio J.J., and Natal Jorge R.M. A new one-point quadrature enhanced assumed strain (EAS) solid-shell element with multiple integration points along thickness: Part II - Nonlinear applications. International Journal for Numerical Methods in Engineering 67 (2006) 160-188
4. Barlat F., and Lian J. Plastic behavior and stretchability of sheet metals. Part I: yield function for orthotropic sheets under plane stress conditions. International Journal of Plasticity 5 (1989) 51
5. Barlat F., Lege D.J., and Brem J.C. A six-component yield function for anisotropic metals. International Journal of Plasticity 7 (1991) 693
6. Barlat F., Brem J.C., Yoon J.W., Chung K., Dick R.E., Lege D.J., Pourboghrat F., Choi S.H., and Chu E. Plane stress yield function for aluminum alloy sheets. Part 1: Theory. International Journal of Plasticity 19 (2003) 1297-1319
7. Barlat F., Aretz H., Yoon J.W., Karabin M.E., Brem J.C., and Dick R.E. Linear transformation based anisotropic yield function. International Journal of Plasticity 21 (2005) 1009
8. Bron F., and Besson J. A yield function for anisotropic materials: application to aluminum alloys. International Journal of Plasticity 20 (2004) 937-963
9. Cardoso, R.P.R., 2002. Development of one point quadrature shell elements with anisotropic material models for sheet metal forming analysis, PhD. Thesis, University of Aveiro, Portugal.
10. Cardoso, R.P.R., 2004. CEREBRO - Finite Element Analysis Software. License ASSOFT No. 1169/d/04.
11. Cardoso R.P.R., Yoon J.W., Grácio J.J., Barlat F., and César Sá J.M.A. Development of a one point quadrature shell element for nonlinear application with contact and anisotropy. Computer Methods in Applied Mechanics and Engineering 191 (2002) 5177-5206
12. Cazacu O., and Barlat F. Generalization of Druker's yield criterion to orthotropy. Mathematics and Mechanics of Solids 6 (2001) 613-630
13. César de Sá J.M.A., Natal Jorge R.M., Fontes Valente R.A., and Areias P.M.A. Development of shear locking-free shell elements using an enhanced assumed strain formulation. International Journal for Numerical Methods in Engineering 53 (2002) 1721-1750
14. Chung K., and Richmond O. A deformation theory of plasticity based on minimum work paths. International Journal of Plasticity 9 (1993) 907-920
15. Chung K., and Shah K. Finite element simulation of sheet metal forming for planar anisotropic metals. International Journal of Plasticity 8 (1992) 453
16. Fontes Valente, R.A., 2004. Developments on shell and solid-shell finite elements technology in nonlinear continuum mechanics, PhD. Thesis, University of Porto, Portugal.
17. Fontes Valente R.A., Alves de Sousa R.J., and Natal Jorge R.M. An enhanced strain 3D element for large deformation elastoplastic problems in thin-shell applications. Computational Mechanics 34 (2004) 38-52
18. Fraeijs de Veubeke, B.M., 1951. Diffusion des inconnues hyperstatiques dans les voilures à longeron couples. Bull. Serv. Technique de L'Aéronautique No. 24, Imprimeríe Marcel Hayez, Bruxelles.
19. Gotoh M., and Ishise F. A finite element analysis of rigid-plastic deformation of the flange in a deep-drawing process based on a fourth-degree yield function. International Journal of Mechanical Sciences 20 (1978) 423
20. Han C.S., Chung K., Wagoner R.H., and Oh S.I. A multiplicative finite elasto-plastic formulation with anisotropic yield functions. International Journal of Plasticity 19 (2003) 197
21. Hauptmann R., Doll S., Harnau M., and Schweizerhof K. Solid-shell elements with linear and quadratic shape functions at large deformations with nearly incompressible materials. Computers and Structures 79 (2001) 1671-1685
22. Hill R. A theory of the yielding and plastic flow of anisotropic materials. Royal Society of London Processing 19A (1948) 281-297
23. Hosford W.F. A generalized isotropic yield criterion. Journal of Applied Mechanics 39 (1972) 607-609
24. Hughes T.J.R. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. second ed. (2000), Dover Editions, New Jersey
25. Hughes T.J.R., Cohen M., and Haroun M. Reduced and selective integration techniques in finite element analysis of plates. Nuclear Engineering Design 46 (1978) 203-222
26. Hwang Y.M., and Chen W.C. Analysis of tube hydroforming in a square cross-sectional die. International Journal of Plasticity 21 (2005) 1815-1833
27. Karafillis A.P., and Boyce M.C. A general anisotropic yield criterion using bounds and a transformation weighting tensor. Journal of the Mechanics and Physics of Solids 41 (1993) 1859
28. Legay A., and Combescure A. Elastoplastic stability analysis of shells using the physically stabilized finite element SHB8PS. International Journal for Numerical Methods in Engineering 57 (2003) 1299-1322
29. Liu W.K., Guo Y., Tang S., and Belytschko T. A multiple-quadrature eight-node hexahedral finite element for large deformation elastoplastic analysis. Computer Methods in Applied Mechanics and Engineering 154 (1998) 69-132
30. Masud A., Tham C.L., and Liu W.K. A stabilized 3D co-rotational formulation for geometrically nonlinear analysis of multi-layered composite shells. Computational Mechanics 26 (2000) 1-12
31. Miehe C., and Apel N. Anisotropic elastic-plastic analysis of shells at large strains. A comparison of multiplicative and additive approaches to enhanced finite element design and constitutive modeling. International Journal for Numerical Methods in Engineering 61 (2004) 1977-2181
32. NUMISHEET2002 organizing committee, 2002. In: Proceedings of the Fifth International Conference and Workshop on Numerical Simulation of 3D Sheet Forming Processes, Jeju Island, Korea.
33. Puso M.A. A highly efficient enhanced assumed strain physically stabilized hexahedral element. International Journal for Numerical Methods in Engineering 49 (2000) 1029-1064
34. Reese S. On the equivalence of mixed element formulations and the concept of reduced integration in large deformation problems. International Journal of Nonlinear Sciences and Numerical Simulation 3 (2002) 1-33
35. Reese S. On a physically stabilized one point finite element formulation for three-dimensional finite elasto-plasticity. Computer Methods in Applied Mechanics and Engineering 194 (2005) 4685-4715
36. Reese S., and Wriggers P. A stabilization technique to avoid hourglassing in finite elasticity. International Journal for Numerical Methods in Engineering 48 (2000) 79-109
37. Reese S., Kussner M., and Reddy B.D. A new stabilization technique for finite elements in nonlinear elasticity. International Journal for Numerical Methods in Engineering 44 (1999) 1617-1652
38. Reese S., Wriggers P., and Reddy B.D. A new locking-free brick element technique for large deformation problems in finite elasticity. Computers and Structures 75 (2000) 291-304
39. Simo J.C., and Armero F. Geometrically nonlinear enhanced strain mixed methods and the method of incompatible modes. International Journal for Numerical Methods in Engineering 33 (1992) 1413-1449
40. Simo J.C., and Hughes T.J.R. Computational Inelasticity. Interdisciplinary Applied Mathematics (1998), Springer, New York
41. Simo J.C., and Rifai M.S. A class of mixed assumed strain methods and the method of incompatible modes. International Journal for Numerical Methods in Engineering 29 (1990) 1595-1638
42. Vu-Quoc L., and Tan X.G. Optimal solid-shells for nonlinear analysis of multilayer composites. Part I: Statics. Computer Methods in Applied Mechanics and Engineering 192 (2003) 975-1016
43. Yoon, J.W., 1997. Finite element formulation based on incremental deformation theory for sheet metal forming of planar anisotropic materials, Ph.D. Dissertation, Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Korea.
44. Yoon J.W., Yang D.Y., and Chung K. Elasto-plastic finite element method based on incremental deformation theory and continuum based shell elements for planar anisotropic sheet materials. Computer Methods in Applied Mechanics and Engineering 174 (1999) 23-56
45. Yoon J.W., Yang D.Y., Chung K., and Barlat F. A general elasto-plastic finite element formulation based on incremental deformation theory for planar anisotropy and its application to sheet metal forming. International Journal of Plasticity 15 (1999) 35-67
46. Yoon, J.W., Barlat, F., Dick, R.E., 2000a. Sheet metal forming simulation for aluminum alloy sheets. In: Sheet Metal Forming Simulation: Sing-Tang sixty-fifth Anniversary Volume, SAE paper 2000-01-0774, Society of Automotive Engineer, SAE, pp. 67-72.
47. Yoon J.W., Barlat F., Chung K., Pourboghrat F., and Yang D.Y. Earing predictions based on asymmetric non-quadratic yield function. International Journal of Plasticity 16 (2000) 1075-1104
48. Yoon J.W., Pourboghrat F., Chung K., and Yang D.Y. Springback prediction for sheet metal forming process using a 3D hybrid membrane/shell method. International Journal of Mechanical Sciences 44 (2002) 2133-2153
49. Yoon J.W., Barlat F., Gracio J.J., and Rauch E. Anisotropic strain hardening behavior in simple shear for cube textured aluminum alloy sheets. International Journal of Plasticity 21 (2005) 2426-2447
50. Yoon J.W., Barlat F., Dick R.E., and Karabin M.E. Prediction of six or eight ears in a drawn cup based on a new anisotropic yield function. International Journal of Plasticity 22 (2006) 174-193
51. Zienkiewicz O.C., Taylor R.L., and Too J.M. Reduced integration technique in general analysis of plates and shells. International Journal for Numerical Methods in Engineering 3 (1971) 275-290