Universität zu Köln

Lennartz-Sassinek, S., Main, I. G., Danku, Z. and Kun, F. (2013). Time evolution of damage due to environmentally assisted aging in a fiber bundle model. Phys. Rev. E, 88 (3). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1550-2376

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Abstract

Damage growth in composite materials is a complex process which is of interest in many fields of science and engineering. We consider this problem in a fiber bundle model where fibers undergo an aging process due to the accumulation of damage driven by the locally acting stress in a chemically active environment. By subjecting the bundle to a constant external load, fibers fail either when the load on them exceeds their individual intrinsic strength or when the accumulated internal damage exceeds a random threshold. We analyze the time evolution of the breaking process under low external loads where aging of fibers dominates. In the mean field limit, we show analytically that the aging system continuously accelerates in a way which can be characterized by an inverse power law of the event rate with a singularity that defines a failure time. The exponent is not universal; it depends on the details of the aging process. For localized load sharing, a more complex damage process emerges which is dominated by distinct spatial regions of the system with different degrees of stress concentration. Analytical calculations revealed that the final acceleration to global failure is preceded by a stationary accumulation of damage. When the disorder is strong, the accelerating phase has the same functional behavior as in the mean field limit. The analytical results are verified by computer simulations.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Lennartz-Sassinek, S. UNSPECIFIED UNSPECIFIED UNSPECIFIED Main, I. G. UNSPECIFIED UNSPECIFIED UNSPECIFIED Danku, Z. UNSPECIFIED UNSPECIFIED UNSPECIFIED Kun, F. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-476112
DOI:	10.1103/PhysRevE.88.032802
Journal or Publication Title:	Phys. Rev. E
Volume:	88
Number:	3
Date:	2013
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1550-2376
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ROCK FRACTURE; CREEP; SEISMICITY; FORESHOCKS; AFTERSHOCK; DYNAMICS; FAILURE Multiple languages Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/47611