A numerical approach for limit analysis of orthotropic composite laminates

International Journal for Numerical Methods in Engineering

Volumn 70, Issue 1, 2007, Pages 71-93

  Pisano, Aurora A ^a   Fuschi, P ^a  

^a UNIVERSITY MEDITERRANEA OF REGGIO CALABRIA   (Italy)

Author keywords

FE iterative procedure; Limit analysis; Linear matching procedure; Orthotropic materials; Tsai Wu criterion

Indexed keywords

FINITE ELEMENT METHOD; ITERATIVE METHODS; LOAD LIMITS; STRESS CONCENTRATION;

LIMIT ANALYSIS; LINEAR MATCHING METHOD; ORTHOTROPIC COMPOSITE LAMINATES; TSAI-WU CRITERION;

LAMINATED COMPOSITES;

FINITE ELEMENT METHOD; ITERATIVE METHODS; LAMINATED COMPOSITES; LOAD LIMITS; STRESS CONCENTRATION;

EID: 33947679735     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1872     Document Type: Article

References (48)

1. Drucker DC, Prager W, Greenberg HJ. Extended limit design theorems for continuous media. Quarterly Applied Mathematics 1952; 9:381-389.
2. Prager W. An Introduction to Plasticity. Addison-Wesley: Reading, MA, 1959.
3. Gokhfeld DA, Cherniavsky OF. Limit Analysis of Structures at Thermal Cycling. Sijthoff & Noordhoff, Alphen and der Rijn: The Netherlands, 1980.
4. Del Piero G. Limit analysis and no-tension materials. International Journal of Plasticity 1998; 14:259-271.
5. Drucker DC, Prager W. Soil mechanics and plastic analysis or limit design. Quarterly Applied Mathematics 1952; 10:157-165.
6. Shield RT. On Coulomb's law of failure in soils. Journal of the Mechanics and Physics of Solids 1955; 4:10-16.
7. Kopharian A. Limit analysis of voussoir and concrete arches. Journal of American Concrete Institute 1952; 24:317-328.
8. Heyman J. The sione skeleton. International Journal of Solids and Structures 1966; 2:249-279.
9. Radenkovic D. Théorèmes limites pour un materiau de Coulomb à dilatation non standardisée. Comptes Rendus de l'Académie des Sciences Paris 1961; 252:4103-4104.
10. Josselin de Jong G. Lower bound collapse theorem and lack of normality of strain rate to yield surface of soils. Rheology and Soil Mechanics: IUTAM Symposium, Grenoble, 1964. Springer: Berlin, Germany, 1966.
11. Palmer AC. A limit theorem for materials with non-associated flow laws. Journal de Mécanique 1966; 5:217-222.
12. Atkinson JH, Potts DM. Stability of a shallow circular tunnel in cohesionless soil. Géotechnique 1977; 27:203-215.
13. Sloan SW, Kleeman PW. Upper bound limit analysis using discontinuous velocity fields. Computer Methods in Applied Mechanics and Engineering 1995; 127:293-314.
14. Yu HS, Sloan SW. Finite element limit analysis of reinforced soils. Computers and Structures 1997; 63:567-577.
15. Zheng X, Booker JR, Carter JP. Limit analysis of the bearing capacity of fissured materials. International Journal of Solids and Structures 2000; 37:1211-1243.
16. Boulbibane, M, Ponter ARS. Extension of the linear matching method to geotechnical problems. Computer Methods in Applied Mechanics and Engineering 2005; 194:4633-4650.
17. Hodge PG, Belytschko T. Numerical methods for the limit analysis of plates. Transactions of the ASME, Journal of Applied Mechanics 1968; 35:796-802.
18. Belytschko T, Hodge PG. Plane stress limit analysis by finite elements. Journal of Engineering Mechanics Division 1970; 96:931-943.
19. Save M. Atlas of Limit Loads of Metal Plates, Shells and Disks. Elsevier: Amsterdam, 1995.
20. Chen HF, Shu DW. A numerical method for lower bound limit analysis of 3-D structures with multi-loading systems. International Journal of Pressure Vessels and Piping 1999; 76:105-112.
21. Chen HF, Shu DW. Lower and upper bound limit analyses for pipeline with multi-slots of various configurations. International Journal of Pressure Vessels and Piping 2000; 77:17-25.
22. McLaughlin Jr PV, Batterman SC. Limit behaviour of fibrous materials. International Journal of Solids and Structures 1970; 6:1357-1376.
23. Ma G, Gama BA, Gillespie Jr JW. Plastic limit analysis of cylindrically orthotropic circular plates. Composite Structures 2002; 55:455-466.
24. Capsoni A, Corradi L, Vena P. Limit analysis of anisotropic structures based on the kinematic theorem. International Journal of Plasticity 2001; 17:1531-1549.
25. Corradi L, Vena P. Limit analysis of orthotropic plates. International Journal of Plasticity 2003; 19:1543-1566.
26. Mackenzie D, Boyle JT. A method of estimating limit loads by iterative elastic analysis. Parts I, II, III. International Journal of Pressure Vessels and Piping 1993; 53:77-142.
27. Mackenzie D, Nadarajah C, Shi J, Boyle JT. Simple bounds on limit loads by elastic finite element analysis. ASME Journal of Pressure Vessels Technology 1993; 115:27-31.
28. Mackenzie D, Shi J, Boyle JT. Finite element modelling for limit analysis using the elastic compensation method. Computers and Structures 1994; 51:403-410.
29. Ponter ARS, Carter KF. Limit state solutions, based upon linear elastic solutions with spatially varying elastic modulus. Computer Methods in Applied Mechanics and Engineering 1997; 140:237-258.
30. Chen HF, Ponter ARS. Shakedown and limit analyses for 3-D structures using the linear matching method. International Journal of Pressure Vessels and Piping 2001; 78:443-451.
31. Ponter ARS, Fuschi P, Engelhardt M. Limit analysis for a general class of yield conditions. European Journal of Mechanics - A/Solids 2000; 19:401-421.
32. Ponter ARS, Fuschi P, Engelhardt M. Limit analysis for pressure-dependent yield conditions. In Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering, Owen DRJ, Oñate E, Hinton E (eds). CIMNE: Barcelona, Spain, 2000.
33. Ponter ARS, Chen H, Boulbibane M, Habibullah M. The linear matching method for the evaluation of limit loads, shakedown limits and related problems. In Proceedings of the Fifth World Congress on Computational Mechanics, Mang HA, Rammerstorfer FG, Eberhardsteiner J (eds). University of Technology: Wien, Austria, 2002.
34. Tsai SW, Wu EM. A general theory of strength for anisotropic materials. Journal of Composite Materials 1971; 5:58-80.
35. Tsai SW, Hann HT. Introduction to Composite Materials. Technomic: Westport, CT, U.S.A., 1980.
36. Lubliner J. Plasticity Theory. Macmillan: New York, 1990.
37. Jones RM. Mechanics of Composite Materials (2nd edn). Taylor & Francis: Philadelphia, PA, U.S.A., 1999.
38. Prusty BG, Ray C, Satsangi SK. First ply failure analysis of stiffned panels - a finite element approach. Composite Structures 2001; 51:73-81.
39. Liu K-S, Tsai SW. A progressive quadratic failure criterion for a laminate. Composites Sciences and Technology 1998; 58:1023-1032.
40. Hashin Z. Failure criteria for unidirectional fiber composites. Journal of Applied Mechanics 1980; 47:329-334.
41. Bolzon G, Ghilotti D, Maier G. Strength of periodic elastic-brittle composites evaluated through homogenization and parameter identification. European Journal of Mechanics - A/Solids 2002; 21:355-378.
42. Rowlands RE. Strength theories and their experimental correlation. In Handbook of Composite: Failure Mechanics of Composites, Sih GC, Skudra AM (eds), vol. 3. Elsevier: Amsterdam, 1985.
43. ij for unidirectional composite materials. Composite Science and Technology 1995; 55:145-156.
44. Hart-Smith LJ. Should fibrous composite failure modes be interacted or superposed. Composites 1993; 24:53-55.
45. Kolakowski Z. On some aspects of the modified Tsai-Wu criterion in thin-walled composite structures. Thin-Walled Structures 2003; 41:357-374.
46. 2-method. International Journal of Pressure Vessels and Piping 1996; 71:93-106.
47. Hamilton R, Boyle JT. Simplified lower bound limit analysis of transversely loaded thin plates using generalised yield criteria. Thin-Walled Structures 2002; 40:503-522.
48. ADINA R & D, Inc. Theory and Modeling Guide. Adina R & D: Watertown, MA, U.S.A., 2002.