Thermo-plastic instability in simple shear

Bai, Yilong

doi:10.1016/0022-5096(82)90029-1

Cited by 278 publications

(139 citation statements)

References 2 publications

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“…To this end, the linear perturbation method is used for the system of governing equations. Following Bai [10], we obtain a* +La 2 …”

Section: Perturbation Analysis and Resultsmentioning

confidence: 99%

Onset of Adiabatic Shear Instability in Strain Gradient Dependent Metal Matrix Composites

LH¹,

LF²,

YL³

2002

International Journal of Nonlinear Sciences and Numerical Simulation

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In this paper, effect of strain gradient on adiabatic shear instability in particle reinforced metal matrix composites is investigated by making use of the strain gradient dependent constitutive equation developed by Dai et al.[9] and the linear perturbation analysis presented by Bai [10]. The results have shown that the onset of adiabatic shear instability in metal matrix composites reinforced with small particles is more prone to occur than in the composites reinforced with large particles. This means that the strain gradient provides a strong deriving force for onset of adiabatic shear instability in metal matrix composites.

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“…To this end, the linear perturbation method is used for the system of governing equations. Following Bai [10], we obtain a* +La 2 …”

Section: Perturbation Analysis and Resultsmentioning

confidence: 99%

Onset of Adiabatic Shear Instability in Strain Gradient Dependent Metal Matrix Composites

LH¹,

LF²,

YL³

2002

International Journal of Nonlinear Sciences and Numerical Simulation

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show abstract

“…The workpiece is considered to be thermo-viscoplastic material, and its constitutive equation is given by τ ¼ f γ; γ′; T ; ð Þ ð 3Þ where τ is the shear stress, γ is the shear strain, γ′ is the shear strain rate, and T is the temperature. For later use, let us introduce the following notations as did by Bai [33]:…”

Section: The Governing Equationsmentioning

confidence: 99%

“…According to the dealing method [33], the stability analysis is simplified by seeking an inhomogeneous deformation solution with respect to small perturbations on the homogeneous solution. Such that τ γ γ′ T …”

Section: Characteristic Instability Time Within Sszmentioning

confidence: 99%

Enhancing surface integrity by high-speed extrusion machining

Liu

Cai

Shang

et al. 2016

Int J Adv Manuf Technol

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High-speed machining (HSM) is an advanced machining technology to form components. However, the poor surface integrity tends to appear due to chip flow instability in HSM. It is found that the surface integrity results from the competition of shear deformation instability between in primary shear zone (PSZ) and in separating shear zone (SSZ). To improve the surface integrity of machined components, the systematic high-speed extrusion machining (HSEM) experiments of magnesium alloy AZ31B with different constraint extrusion factors (CEFs) were carried out. The instability of shear deformation in PSZ is suppressed, and the microwaves on machined surface disappear when CEF is equal to or larger than a certain value. The measurements of the machined surface show that an improvement of surface integrity is achieved if CEF exceeds a certain value. The theoretical model for HSEM was established to elucidate the critical CEF. The underlying physics of surface integrity in HSEM is further revealed. The experimental results verify the validity of the theoretical model.

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“…The failure of UFG metals usually starts from necking under tension while from shear banding under compression. As in the case of dynamic loading, adiabatic shear (AS) localization is recognised as a trigger of catastrophic failure for most metals under compression (5)(6). In fact, the phenomena of adiabatic shear banding (ASB) is widely encontered in industries such as metal forming, high-speed machining, balastic impact and so on (7).…”

Section: Introductionmentioning

confidence: 99%

Mechanical behavior of ultrafine-grained materials under combined static and dynamic loadings

Guo

Sun

et al. 2015

EPJ Web of Conferences

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Abstract. Ultrafine-grained (UFG) materials have extensive prospects for engineering application due to their excellent mechanical properties. However, the grain size decrease reduces their strain hardening ability and makes UFG materials more susceptible to deformation instability such as shear localization. In most cases, critical shear strain is taken as the criterion for formation of shear localization under impact loading or adiabatic shear band (ASB). Recently, some researchers found that the formation of ASB was determined only by the dynamic loading process and had nothing to do with its static loading history. They proposed for coarse-grained metals a dynamic stored energy-based criterion for ASB and verified it by some experiments. In this study, we will focus on the shear localization behavior of UFG metals such as UFG titanium and magnesium alloy AZ31. Quasi-static loading and dynamic loading will be applied on the same specimen alternately. The shear localization behavior will be analyzed and the criterion of its formation will be evaluated.

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Thermo-plastic instability in simple shear

Cited by 278 publications

References 2 publications

Onset of Adiabatic Shear Instability in Strain Gradient Dependent Metal Matrix Composites

Onset of Adiabatic Shear Instability in Strain Gradient Dependent Metal Matrix Composites

Enhancing surface integrity by high-speed extrusion machining

Mechanical behavior of ultrafine-grained materials under combined static and dynamic loadings

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