On the reducibility of failure theories for composite materials

Composite Structures

Volumn 86, Issue 1-3, 2008, Pages 165-176

  Michopoulos, John G ^a  

^a Center for Computational Material Science   (United States)

Author keywords

Dissipated energy density; Failure criteria; Material constitutive response; Polynomial reduction; Strain energy density; Theorem proving

Indexed keywords

CLASSIFICATION (OF INFORMATION); COMPOSITE MATERIALS; COMPOSITE MICROMECHANICS; INFORMATION THEORY; POLYNOMIAL APPROXIMATION; POLYNOMIALS; SEMANTICS; SET THEORY; STRAIN ENERGY; SYNTACTICS; WELDS; WORLD WIDE WEB;

(E ,2E) THEORY; (I ,J) CONDITIONS; (N-1) CRITERION; CRITICAL ENERGY DENSITY; FAILURE CRITERION; FAILURE THEORIES; INITIATION (ELECTRIC DISCHARGES); ORDERED SETS; PHYSICAL NATURE; POLYNOMIAL STRUCTURE; STRAIN ENERGY DENSITY (SED); SYNTACTIC REPRESENTATION; UPPER BOUNDS; VISUAL INTERPRETATION; WEB ONTOLOGY;

ONTOLOGY;

COMPOSITE; FAILURE ANALYSIS; MATHEMATICAL ANALYSIS; STRAIN; THERMODYNAMICS;

EID: 46949103513     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2008.03.008     Document Type: Article

References (49)

1. Franklin H.G. Classical theories of failure of anisotropic materials. Fiber Sci Tech 1 2 (1968) 137-150
2. Sendeckyj GP. A brief survey of empirical multiaxial strength criteria for composites. ASTM STP 497. Philadelphia: ASTM; 1972. p. 41-51.
3. Wu E.M. In: Broutman L.J., Kroch R.H., and Sendeckyj G.P. (Eds). Phenomenological anisotropic failure criteria treatise on composite materials (1973), Academic Press, New York 353-432
4. Vicario A.A., and Toland R.H. Failure criteria1 and failure analysis of composite structural components. Composite materials. In: Chamis C.C. (Ed). Structural design and analysis, part 1 vol. 7 (1975), Academic Press, New York 52-97
5. Rowlands R.E. Strength (failure) theories and their experimental correlation. Handbook of composites. In: Sih G.C., and Skudra A.M. (Eds). Failure mechanics of composites vol. 3 (1984), North-Holland, Amsterdam 71-125
6. Sun CT, Quinn BJ, Oplinger DW. Comparative evaluation of failure analysis methods for composite laminates DOT/FAA/AR-95/109; 1996.
7. Soden P.D., Hinton M.J., and Kaddour A.S. A comparison of the predictive capabilities of current failure theories for composite laminates. Compos Sci Technol 58 (1998) 1225-1254
8. Soden P.D., Hinton M.J., and Kaddour A.S. Biaxial test results for strength and deformation of a range of E-glass and carbon fibre reinforced composite laminates: failure exercise benchmark data. Compos Sci Technol 62 (2002) 1489-1514
9. Hinton M.J., Kaddour A.S., and Soden P.D. A comparison of the predictive capabilities of current failure theories for composite laminates, judged against experimental evidence. Compos Sci Technol 62 (2002) 1725-1797
10. Hinton M.J., and Soden P.D. Predicting failure in composite laminates: the background to the exercise. Compos Sci Technol 58 (1998) 1001-1010
11. CRC-ACS/MIT/NRL Private communications for ONR NICOP project "Methodology for determination of mechanical behavior and failure in composite structures", August 2006.
12. Orifici AC, Herszberg I, Thomson R, Weller T, Degenhardt R, Review of methodologies for composite material modelling incorporating failure. In: Proceedings of 14th international conference on composite structures, ICCS/14, 19-21 November 2007, Monash University Melbourne, Victoria, Australia.
13. Antoniou G, van Harmelen F. A Semantic Web primer. The MIT Press. ISBN 0-262-01210-3 [1 April 2004].
14. Gruber T.R. A translation approach to portable ontology specification. Knowledge Acquis 5 (1993) 199-220
15. Brickley D, Guha RV. Resource description framework (RDF) schema specification. proposed recommendation, World Wide Web consortium; 1999. .
16. Hendler J., and McGuinness D.L. The DARPA agent markup language. IEEE Intell Syst 16 6 (2000) 67-73
17. Price C., and Spackman K. SNOMED clinical terms. BJHC&IM - Brit J Healthcare Comput Inform Manage 17 3 (2000) 27-31
18. Humphreys B.L., and Lindberg D.A.B. The UMLS project: making the conceptual connection between users and the information they need. Bull Med Lib Assoc 81 2 (1993) 170
19. The United Nations Standard Products and Services Code. .
20. McGuinness DL, Fikes R, Rice J, Wilder S. An environment for merging and testing large ontologies. Principles of knowledge representation and reasoning. In: Cohn AG, Giunchiglia F, Selman B, editors. Proceedings of the seventh international conference (KR2000). San Francisco, CA: Morgan Kaufmann Publishers; 2000.
21. Noy NF, McGuinness DL. Ontology development 101: a guide to creating your first ontology. Stanford knowledge systems laboratory technical report KSL-01-05 and Stanford medical informatics technical report SMI-2001-0880; March 2001.
22. Protege. The Protege Project; 2000. .
23. Booch G., Rumbaugh J., and Jacobson I. The unified modeling language user guide (1997), Addison-Wesley
24. Bosca A, Bonino D, OntoSphere3D: a multidimensional visualization tool for ontologies. In: 9th International Protégé Conference - July 23-26, Stanford, California; 2006.
25. Fung Y.C. Foundations of solid mechanics (1965), Prentice Hall
26. Tsai S.W., and Wu E.M. A general theory of strength for anisotropic materials. J Compos Mater 24 (1971) 58-80
27. Hoffman O. The brittle strength of orthotropic materials. J Compos Mater 1 (1967) 200-206
28. Timoshenko S.P. History of strength of materials (1953), McGraw-Hill, New York
29. Huber MT. Distortion strain energy as a measure of strength of the materials. Czapismo Technizne 1904;22:81 [in Polish].
30. von Mises R. Mechanik des festen Körper im Plastisch-Deformablen Zustand. Nachr. Kgl. Ges. Wiss. Götingen, Math.-Physik Klasse; 1913.
31. Hencky H. Zur Theorie plastischer Deformationen und der hierdurch im Material hervorgerufenen Nachspannungen. ZAMM 4 (1924) 323-334
32. Gosse JH, Christensen, S. Strain invariant failure criteria for polymers in composite materials, AIAA paper, AIAA-2001-1184; 2001.
33. Buckley C.P. Material failure, lecture notes (2005), University of Oxford
34. Anderson T.L. Fracture mechanics: fundamentals and applications (1995), CRC Press
35. Sih G.C. Some basic problems in fracture mechanics and new concepts (Classical fracture mechanics concepts, considering Griffith theory and modifications for ductile materials and strain energy density field). Engineering fracture mechanics 5 (1973) 365-377
36. Sih G.C. Mechanics of fracture. 1- Methods of analysis and solution of crack problems (1973), Noordhoff International Publishing Company, Leyden
37. Norris CD. Strength of orthotropic materials subjected to combined stress, U.S. Forest Products Laboratory Report #IR16; 1950.
38. Marin J. Theories of strength for combined stress on non-isotropic materials. J Aeronaut Sci 24 4 (1957) 265-268
39. Gol'denblat L., and Kopnov V.A. Strength of glass-reinforced plastic in the complex stress state. Mekh Polim 1 2 (1965) 70-78 [Polym Mech 1965;l(2):54-9]
40. Azzi V.D., and Tsai S.W. Anisotropic strength of composites. Exp Mech 5 9 (1965) 283-288
41. Malmeister A.K. Geometry of theories of strength. Mekh Polim 6 2 (1966) 519-534 [Polym Mech 1966;2(4):324-31]
42. Fischer L. Optimization of orthotropic laminates, engineering for industry. Series B 89 3 (1967) 399-402
43. Chamis CC. Failure criteria for filamentary composites. Composite materials: Testing and design, ASTM STP 460. Philadelphia: ASTM. 1969;336-51.
44. Ashkenazi E.K., and Pekker F.P. Experimental testing of the applicability of a fourth degree polynomial describing surfaces of critical planar stress distributions in glass-reinforced plastics. Meckhanika Polimerov 6 2 (1970) 284-294 [Polym Mech 1970;6(2):251-78]
45. Cowin S.C. On the strength anisotropy of bone and wood. Trans ASME J Appl Mech 46 4 (1979) 832-838
46. Theocaris P.S. Weighing failure tensor polynomial criteria for composites. Int J Damage Mech 1 (1992) 4-46
47. Kim C.H., and Yeh H.-Y. Development of a new yielding criterion: the Yeh-Stratton criterion. Eng Fract Mech 47 (1994) 569-582
48. Burris S.N., and Sankappanavar H.P. A course in universal algebra (1981), Springer-Verlag
49. Lemaitre J., and Chaboche J.L. Mechanics of materials (1994), Cambridge University Press, Cambridge