Mechanical transformations and discontinuities along a moving surface

Pradeilles-Duval, R. M.; Stolz, Claude

doi:10.1016/0022-5096(94)00061-9

Cited by 39 publications

(33 citation statements)

References 9 publications

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“…Many other situations can be investigated as in phase transformation [13]. This last example show how the analysis of stability bifurcation has strong implications in homogeneization of the existence of an homogeneized constitutive behaviour.…”

Section: Discussionmentioning

confidence: 97%

“…This framework is used to describe damage or phase transformation. Variational formulations were performed to describe the evolution of the surface between the sound and the damaged material [13,27,28]. Connection can be made with the notion of configurational forces [29].…”

Section: Moving Surfacesmentioning

confidence: 99%

“…The discussion of the stability and bifurcation along an evolution process can be investigated as presented in [13].…”

Section: Stability and Bifurcationmentioning

confidence: 99%

“…The discussion of stability and bifurcation is well known in elasticity [7] and discussion in elastoplasticity have been studied in the same spirit [8][9][10], extensions for fracture mechanics or for damage are more recent [11][12][13]. The discussion is founded essentially on the analysis of the properties of the rate boundary value problem [8,14,15].…”

Section: Introductionmentioning

confidence: 99%

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Analysis of Stability and Bifurcation in Nonlinear Mechanics with Dissipation

Stolz

2011

Entropy

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The analysis of stability and bifurcation is studied in nonlinear mechanics with dissipative mechanisms: plasticity, damage, fracture. The description is based on introduction of a set of internal variables. This framework allows a systematic description of the material behaviour via two potentials: the free energy and the potential of dissipation. In the framework of standard generalized materials the internal state evolution is governed by a variational inequality which depends on the mechanism of dissipation. This inequality is obtained through energetic considerations in an unified description based upon energy and driving forces associated to the dissipative process. This formulation provides criterion for existence and uniqueness of the system evolution. Examples are presented for plasticity, fracture and for damaged materials.

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Section: Discussionmentioning

confidence: 97%

Section: Moving Surfacesmentioning

confidence: 99%

“…The discussion of the stability and bifurcation along an evolution process can be investigated as presented in [13].…”

Section: Stability and Bifurcationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analysis of Stability and Bifurcation in Nonlinear Mechanics with Dissipation

Stolz

2011

Entropy

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“…Variational formulations were performed to describe the evolution of the surface between the sound and damaged material [3] [9]. In the framework of thermomechanical coupling as in fracture mechanics the analysis defines two different energy release rates associated with heat production and entropy production.…”

Section: Introductionmentioning

confidence: 99%

A thermodynamical approach to contact wear as application of moving discontinuities

Stolz

2006

Arch Appl Mech

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The propagation of moving surface inside a body is analysed within the framework of thermomechanical couplings, when the moving surface is associated with an irreversible change of mechanical properties. The moving surface is a surface of heat sources and of entropy production, intensities of which are related to particular energy release rates defined in terms of Hamiltonian gradients. As example, we analyse wear process. Wear phenomena due to contact and relative motion between two solids depend on the loading conditions and material mechanical properties. Friction between contacting bodies induces damage of materials, producing surface and subsurface cracks. Particles are detached from sound solids when some local criteria are satisfied at the boundary. By the way as wears occurs, geometrical changes take place and contact conditions are modified, the particle induce a specific layer with particular properties. Then the interface between the bodies is a complex medium made of detached particles, eventually a lubricant fluid, and damaged zones.We propose to describe the evolution of the interface using the framework developped before for inducing the general form of a wear-law.

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