Fundamental aspects for characterization in continuum damage mechanics
Source abstract
Abstract
New issues, derivations, and remarks are presented for the subject of continuum damage mechanics. Emphasis is placed on the fundamental and basic aspects of damage mechanics. This work is a continuation of a previous work of the authors and provides for a complete analysis of the issues discussed previously. The topics discussed include: (1) the true nature of the damage–integrity angle, (2) modeling damaged solids as composite systems, (3) hypothesis of strain equivalence as a special case of the hypothesis of elastic energy equivalence, (4) mechanics of damaged beams, (5) a mean value theorem for damage mechanics, (6) partial damage mechanics characterization, (7) micro-damage or nano-damage, (8) crack and void mechanics, and (9) conceptual modeling of interfacial damage. It is hoped that these new and fundamental concepts will pave the way for new, consistent, and holistic avenues in research in damage mechanics and characterization of materials.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: High-Velocity Impact and Material Behavior · Structural Response to Dynamic Loads · Mechanical Behavior of Composites
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, USA
Petra Books, Amman, Jordan
References (42)
Show source-provided references
1. 10.1016/j.ijsolstr.2003.08.01810.1016/j.ijsolstr.2003.08.018 ↗
2. 10.1177/105678950404105810.1177/1056789504041058 ↗
3. 10.1106/10567890202225910.1106/105678902022259 ↗
4. 10.1016/j.mechmat.2003.10.00210.1016/j.mechmat.2003.10.002 ↗
5. 10.1115/1.279265010.1115/1.2792650 ↗
6. Carol I, Rizzi E and William K (2002) An ‘extended’ volumetric/deviatoric formulation of anisotropic damage based on a pseudo-log rate. Technical report no. GT-023, ETSECCPB-UPC, E-08034.10.1016/S0997-7538(02)01232-9 ↗
7. Celentano DJ · 2004 · 23
8. 10.1016/j.ijsolstr.2011.10.01710.1016/j.ijsolstr.2011.10.017 ↗
9. 10.1007/978-3-662-04168-010.1007/978-3-662-04168-0 ↗
10. 10.1016/j.mechmat.2011.09.00210.1016/j.mechmat.2011.09.002 ↗
11. 10.1016/j.mechmat.2011.09.00310.1016/j.mechmat.2011.09.003 ↗
12. 10.1016/0020-7683(94)90112-010.1016/0020-7683(94)90112-0 ↗
13. 10.1177/105678951561070610.1177/1056789515610706 ↗
14. Hong S · International Journal of Damage Mechanics · 2015
15. Kachanov L · Izv Akad, Nauk USSR Otd Tech · 1958 · 8 · 26
16. 10.1016/0020-7225(90)90007-610.1016/0020-7225(90)90007-6 ↗
17. 10.1016/0020-7225(93)90075-610.1016/0020-7225(93)90075-6 ↗
18. 10.1061/(ASCE)0733-9399(2001)127:9(940)10.1061/(ASCE)0733-9399(2001)127:9(940) ↗
19. Kattan PI · 2001
20. Krajcinovic D (1996) Damage Mechanics . Amsterdam, The Netherlands, p. 776.
21. Ladeveze P and Lemaitre J (1984) Damage effective stress in quasi-unilateral conditions. In: The 16 th international Congress of theoretical and applied mechanics , Lyngby, Denmark.
22. Ladeveze P, Poss M and Proslier L (1982) Damage and fracture of tridirectional composites. In: Progress in Science and Engineering of Composites: Proceedings of the Fourth International Conference on Composite Materials , Vol. 1, pp.649–658. Japan Society for Composite Materials.
23. 10.1016/0013-7944(85)90008-610.1016/0013-7944(85)90008-6 ↗
24. 10.1177/105678950910272510.1177/1056789509102725 ↗
25. 10.1016/j.commatsci.2007.07.05010.1016/j.commatsci.2007.07.050 ↗
26. 10.1016/S0045-7825(02)00577-710.1016/S0045-7825(02)00577-7 ↗
27. Rabotnov Y (1969) Creep rupture. In: Hetenyi M and Vincenti WG (eds) Proceedings, twelfth international congress of applied mechanics , Stanford, 1968, pp.342–349. Berlin: Springer-Verlag.10.1007/978-3-642-85640-2_26 ↗
28. 10.1016/0022-5096(71)90010-X10.1016/0022-5096(71)90010-X ↗
29. 10.1007/978-3-642-81582-9_3510.1007/978-3-642-81582-9_35 ↗
30. 10.1016/0749-6419(88)90023-X10.1016/0749-6419(88)90023-X ↗
31. 10.1016/0020-7225(90)90053-L10.1016/0020-7225(90)90053-L ↗
32. 10.1016/0020-7225(92)90059-P10.1016/0020-7225(92)90059-P ↗
33. Voyiadjis GZ and Kattan PI (2005) Damage Mechanics . Taylor and Francis, Boca Raton, Florida, USA: CRC Press.10.1201/9781420027839 ↗
34. Voyiadjis GZ · 2006
35. 10.1177/105678950809754610.1177/1056789508097546 ↗
36. 10.1007/s00707-012-0678-010.1007/s00707-012-0678-0 ↗
37. 10.1177/105678951349177310.1177/1056789513491773 ↗
38. 10.1177/105678951663573010.1177/1056789516635730 ↗
39. Voyiadjis GZ · Engineering Transactions · 2017 · 65 · 351
40. 10.1016/j.ijplas.2010.11.00210.1016/j.ijplas.2010.11.002 ↗
41. Voyiadjis GZ, Shojaei A, Li G, et al. (2012a) A theory of anisotropic healing and damage mechanics of materials. Proceedings of the Royal Society, A – Mathematical, Physical, and Engineering Sciences 468(2137): 163–183.10.1098/rspa.2011.0326 ↗
42. 10.1177/105678951039706910.1177/1056789510397069 ↗