Stress singularities in a periodically layered composite near interface crack tips
Source abstract
Abstract
The paper deals with the asymptotic analysis of stresses near interface crack tips in the periodically two-layered elastic composites. The problem is investigated for the plane state of strain within the framework of the homogenized model with microlocal parameters. The angular dependence of stresses at the crack tip is presented for different mechanical and geometrical properties of the composite.
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Material Mechanics · Advanced Mathematical Modeling in Engineering · Elasticity and Wave Propagation
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (27)
Show source-provided references
1. Achenbach JD (1975) A theory of elasticity with microstructure for directionally reinforces composites. Int Centre for Mech Sci, USM Courses and Lectures, No. 167. Springer-Verlag, Wien
2. Bakhalov NS, Panasenko GP (1984) Averaged processes in periodic media. Science, Moscow (in Russian)
3. Bedford A, Stern M (1971) Toward a diffusing continuum theory of composite materials. J Appl Mech 38:8–1410.1115/1.3408772 ↗
4. Bensoussan A, Lions JL, Papanicolau AG (1978) Asymptotic methods in periodic structures. North-Holland, Amsterdam
5. Broutman LJ (ed) (1974) Fracture and fatigue. In: Composite materials, vol 5. Academic Press, New York
6. Bufler H, Krennerknecht H (1999) Prestrained elastic laminates: deformations, stability and vibrations. Acta Mech 48:1–3010.1007/BF01178493 ↗
7. Cherepanov GP (1983) Fracture mechanics of composite materials. Science, Moscow (in Russian)
8. Christensen RM (1979) Mechanics of composite materials. Wiley, New York
9. Guz AN et al (1982) Mechanics of composite materials and elements of constructions. Naukowa Dumka, Kiev (in Russian)
10. Jihov VV, Kozlov SM, Oleynik OA (1994) Homogenization of differential operators and integral functionals. Springer, Berlin
11. Kaczyński A (1993) On the three-dimensional interface crack problems in a periodic two-layered composites. Int J Fract 62:283–30610.1007/BF00017237 ↗
12. Kaczyński A, Matysiak SJ (1988) On crack problems in periodic two-layered elastic composites. Int J Fract 37:31–4510.1007/BF00017821 ↗
13. Kaczyński A, Matysiak SJ (1989) A system of interface cracks in periodically layered elastic composite. Eng Fract Mech 32:745–75610.1016/0013-7944(89)90171-9 ↗
14. Kaczyński A, Matysiak SJ (2003) On the three-dimensional problem of an interface crack under uniform heat flow in a bimaterial periodically layered space. Int J Fract 123: 122–13810.1023/B:FRAC.0000007372.40886.4f ↗
15. Karp SN, Karal FCJ (1962) The elastic field behavior in the neighborhood of a crack of arbitrary angle. Commun Pure Appl Math 15:413–42110.1002/cpa.3160150404 ↗
16. Kucherov L, Ryvkin M (2002) Interface crack in periodically layered bimaterial composite. Int J Fract 117:175–19410.1023/A:1020914902780 ↗
17. Manevitch LI, Andrianov IV, Oshmyan VG (2002). Mechanics of periodically heterogeneous structures. Springer, Berlin
18. Matysiak SJ, Woźniak Cz (1987) Micromorphic effects in a modeling of periodic multilayered elastic composites. Int J Eng Sci 25:549–55910.1016/0020-7225(87)90106-6 ↗
19. Parton VZ, Perlin PI (1984) Mathematical methods of the theory of elasticity. Mir Publishers, Moscow (in Russian)
20. Sanchez-Palencia E (1989) Non-homogeneous media and vibration theory. Springer-Verlag, Berlin
21. Seweryn A (1990) Asymptotic methods of evaluation of stress intensity factors for V-notches in plane elasticity theory. Eng Trans 38:467–486
22. Seweryn A, Molski K (1996) Elastic generalized stress intensity factors for angular corners under varions boundary conditions. Eng Fract Mech 55:529–55610.1016/S0013-7944(96)00035-5 ↗
23. Sih GC, Liebowitz H (1968) Mathematical theories of brittle fracture. In: Liebowitz H (ed) Fracture, vol II. Academic Press, New York, pp 67–190
24. Sih GC, Shudra AM (eds) (1985) Failure mechanics of composites. In: Handbook of composites, vol 3. Elsevier, Amsterdam
25. Woźniak Cz (1987) A nonstandard method of modelling of thermoelastic periodic composites. Int J Eng Sci 25:483–49910.1016/0020-7225(87)90102-9 ↗
26. Woźniak Cz (1995) Microdynamics: continuum modeling the simple composite materials. J Theor Appl Mech 33:267–289
27. Woźniak Cz, Wierzbicki E (2000) Averaging techniques of thermomechanics of composite solids. Wyd. Politechniki Czȩstochowskiej, Czȩstochowa