Dynamics of Damage in Two-Dimensional Structures With Waiting Links

Cherkaev, Andrej; Zhornitskaya, Liya

doi:10.1007/1-4020-2604-8_27

Cited by 10 publications

(6 citation statements)

References 3 publications

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“…Alternatively, one may account for a non-instant damage that corresponds to the differential equation for the accumulated damage (see Cherkaev and Zhornitskaya, 2003):…”

Section: Article In Pressmentioning

confidence: 99%

“…It needs less assumptions, allows one to see the details of the damage, and to account for the high-frequency models that are ''invisible'' in the continuum limit. Some bistable-link chain models were considered in a number of works (see Troyankina, 1984, 1988;Puglisi and Truskinovsky, 2000;Slepyan, 2000Slepyan, , 2001Slepyan, , 2002Balk et al, 2001a,b;Charlotte and Truskinovsky, 2002;Ngan and Truskinovsky, 1999;Cherkaev and Zhornitskaya, 2003). In the present paper we consider a chain with waiting links, formulate the dynamic equations, and estimate the gap role in the resistance of the chain to quasi-static and dynamic extension.…”

Section: Introductionmentioning

confidence: 97%

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Transition waves in bistable structures. I. Delocalization of damage

Cherkaev

Slepyan

2005

Journal of the Mechanics and Physics of Solids

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“…Alternatively, one may account for a non-instant damage that corresponds to the differential equation for the accumulated damage (see Cherkaev and Zhornitskaya, 2003):…”

Section: Article In Pressmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Transition waves in bistable structures. I. Delocalization of damage

Cherkaev

Slepyan

2005

Journal of the Mechanics and Physics of Solids

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“…These elements and their quasistatic behavior are described in [8]. Following [8], consider the link as an assembly of two elastic-brittle rods, lengths L and ∆(∆ > L) joined by their ends. The longer bar is initially slightly curved to fit.…”

Section: Elastic-brittle Waiting Elementsmentioning

confidence: 99%

An Impact Protective Structure with Bistable Links

Cherkaev

Leelavanichkul

2011

International Journal of Damage Mechanics

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This paper discusses a design concept of a protective structure with a special morphology that improves the impact resistance capability. We present a "bistable" structure concept: The bistable structure is designed so that the stress-strain relation is not unique. When the strain reaches a threshold, that part of the structure yields and subsequently fails. The remaining parts then carry the loads and maintain the structural integrity. The redistribution of the loads allows more energy of the collision to be absorbed.We describe the response of bistable structures in macro-and microscale, introduce a mesoscale damage tensor that measures the degree of damage in a small region, and numerically investigate a problem of projectile impacting a protective net. This paper introduces several effectiveness criteria of the protective bistable structure, and compares the structural responses of the bistable and conventional structure. The bistable structure dissipates more energy by creating a partial damage in a large area. Damage is understood as a process of irreversible phase transition from the initial to disintegrated state. Damage of the bistable structure is more stable; the cracks do not develop due to yielding of structural elements and damage delocalization.

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“…The dynamic response of elastic-brittle bistable structures was also studied by . The response of chains of bistable structural elements under quasistatic and dynamic loading was investigated by Cherkaev and Zhornitskaya [2003]. The numerical results obtained showed that a chain of bistable links can withstand impact energy levels that are several times larger than for a conventional chain without bistable behavior.…”

Section: Introductionmentioning

confidence: 99%

Energy absorption of a helicoidal bistable structure

Leelavanichkul

Cherkaev

Adams

et al. 2010

JOMMS

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The concept of a bistable structure as an energy absorbing structure is presented. A bistable structure is capable of distributing damage throughout the whole body, thus increasing the amount of energy dissipation. Using this concept, a helicoidal bistable structure is developed. We investigate a structure in which a helicoidal orthotropic shell envelops a solid cylinder. The center core of the structure is treated as a linear-elastic isotropic material. Numerical simulations of damage (breakages) are performed under static loads, and the force-displacement relation is obtained as a result. As an energy absorbing structure, the helicoidal bistable structure can absorb more energy than a conventional structure before it fails. The helicoidal bistable structure can be designed to sustain a small elongation while still being able to release energy effectively. The additional twisting degrees of freedom correspond to the additional energy released in the process of elongation.

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Dynamics of Damage in Two-Dimensional Structures With Waiting Links

Cited by 10 publications

References 3 publications

Transition waves in bistable structures. I. Delocalization of damage

Transition waves in bistable structures. I. Delocalization of damage

An Impact Protective Structure with Bistable Links

Energy absorption of a helicoidal bistable structure

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