The asymptotic structure of an adiabatic shear band in antiplane motion

Wright, T.W.; Walter, J.

doi:10.1016/0022-5096(95)00066-6

Cited by 29 publications

(11 citation statements)

References 5 publications

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“…After nucleation is reached, the deformation localizes to the embedded scale l v . McVeigh et al pointed out that this is consistent with the physical interpretation of shear band, as reported, for instance, in [86]. The post-instability localization occurred at the length-scale l v and spread over several elements.…”

Section: Multiresolution Analysis Of Adiabatic Shear Bandsupporting

confidence: 82%

Multiscale methods for mechanical science of complex materials: Bridging from quantum to stochastic multiresolution continuum

Liu¹,

Qian

Gonella³

et al. 2010

Numerical Meth Engineering

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SUMMARYRecent development in the multiscale method based on the bridging scale concept is presented with an emphasis on complex material systems. The bridging scale method (BSM) was originally proposed by Wagner and Liu (J. Comput. Phys. 2003; 190:249-274) as an effective way of treating the interface in coupled atomistic/continuum simulation. Since its publication, the BSM has become a very useful paradigm that has been applied to solve a host of problems in mechanical sciences of complex material systems. In this paper, we present a review on the recent developments. We first describe the application of BSM to the coupled atomistic/continuum simulation of dynamic fracture. The important extensions within the framework of space-time method and multiscale non-equilibrium molecular dynamics are then presented. We then focus on the multiresolution continuum theory that inherits the BSM concept in the analysis of heterogeneous material structures. Recent work of incorporating statistical factors into this model based on the concurrent nested homogenization of randomness of the material structures is highlighted. Finally, we present the use of the bridging scale concept in resolving the electron-mechanical coupling mechanism. The robustness of the BSM is demonstrated through many benchmark problems and application examples.

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Section: Multiresolution Analysis Of Adiabatic Shear Bandsupporting

confidence: 82%

Multiscale methods for mechanical science of complex materials: Bridging from quantum to stochastic multiresolution continuum

Liu¹,

Qian

Gonella³

et al. 2010

Numerical Meth Engineering

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“…Shear bands have been shown to be a consequence of softening by Clifton et al [31] and Wright and Walter [32]. In a rate-dependent material, the PDE does not change type and only undergoes a material instability, whereas in a rate independent material, it loses hyperbolicity.…”

Section: Shear Band Initiationmentioning

confidence: 99%

A simplified mesh‐free method for shear bands with cohesive surfaces

Rabczuk

Areias

Belytschko

2006

Numerical Meth Engineering

201

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SUMMARYA simple methodology to model shear bands as strong displacement discontinuities in a meshfree particle method is presented. The shear band is represented as a set of sheared particles. A sheared particle is developed through enrichment by tangential displacement discontinuities. The representation of the shear band as set of cohesive segments provides a simple and versatile model of shear bands. The loss of material stability is used as the criterion for switching from a classical continuum description of the constitutive behavior to a traction-separation law acting on the discontinuity surface. The method is implemented for two and three dimensions. Examples of shear band progression in rate-dependent and rate-independent materials are presented, including the Kalthoff problem, where the transition from brittle fracture to shear banding is studied. Copyright

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“…(5) that there are three different physical processes altering the temperature in PSZ: heat generation due to plastic working (the first term in the right side of the equation), convection and diffusion of heat (the second and third terms, respectively). If all of the plastic work is dissipated as heat, TaylorQuinney coefficient β = 1 [10,[34][35][36]. However, the plastic work is not entirely converted into heat in fact [37][38][39].…”

Section: The Governing Equationsmentioning

confidence: 99%

Suppression of Hopf bifurcation in metal cutting by extrusion machining

et al. 2016

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Hopf bifurcation is a common phenomenon during the metal cutting process, which results in poor surface finish of the workpiece and inhomogeneous grain structure in materials. Therefore, understanding and controlling Hopf bifurcation in metal cutting are necessary. In this work, the systematic low-speed extrusion machining experiments were conducted to suppress Hopf bifurcation phenomenon. It is found that the suppression of Hopf bifurcation is achieved with the increasing constraint extrusion degree. In order to reveal the mechanism of the suppression of Hopf bifurcation, a new nonlinear dynamic model for extrusion machining is developed where the convection, the diffusion, the extrusion of constraint, the thermal-softening deformation and the fracture-type damage are included. the present theoretical model is effective to characterize the suppression of Hopf bifurcation in metal cutting. Based on the numerical calculation of the theoretical model, the mechanisms underlying in extrusion machining are further revealed: Fracture-type deformation is more important than the thermal-softeningtype deformation in low-speed extrusion machining; however, the thermal-softening-type deformation is the primary deformation mode for high-speed extrusion machining.

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The asymptotic structure of an adiabatic shear band in antiplane motion

Cited by 29 publications

References 5 publications

Multiscale methods for mechanical science of complex materials: Bridging from quantum to stochastic multiresolution continuum

Multiscale methods for mechanical science of complex materials: Bridging from quantum to stochastic multiresolution continuum

A simplified mesh‐free method for shear bands with cohesive surfaces

Suppression of Hopf bifurcation in metal cutting by extrusion machining

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