Instability of plastic flow in the directions of pure shear: II. Experimental

Chakrabarti, A.K.; Spretnak, J. W.

doi:10.1007/bf02672294

Cited by 27 publications

(7 citation statements)

References 3 publications

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“…The experimental data are basically at the middle of these two bounds. Notice that the theoretical values correspond to the critical strain to onset of instability, while the final fracture strain is usually higher [12], so it is expected that the present lower bound is closer to the experiment. For AISI4340 steel the nucleation of new voids at the second phase particles plays a much more important role.…”

Section: Comparison With Experimentsmentioning

confidence: 86%

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Analysis of shear localization in porous materials based on a lower bound approach

Sun

Wang

1995

Int J Fract

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The conditions for shear localization in porous materials are examined based on the lower bound approach proposed by the present authors. The influence of void nucleation and material inhomogeneity on the critical strain to localization is investigated and an improved plastic strain controlled nucleation criterion is proposed which makes it possible to include the influence of hydrostatic stress and avoid the ambiguity caused by the non-normality flow rule. The constitutive behavior of porous materials (including the yield loci, the void growth rate and the stress-strain curve) is also examined and comparison is made between the theoretical result and the experiment. Finally the instability and fracture of sintered CP Ti alloy and AISI4340 steels is analyzed and results are compared with the experiment.

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Section: Comparison With Experimentsmentioning

confidence: 86%

“…Special attention is given on the relation of the initial material inhomogeneity to the critical strain to instability. Finally we analyze the instability and fracture process of sintered CP Ti alloy and AISI4340 steel in axisymmetric tension and plane strain tension and compare with the experiment [11,12].…”

Section: Introductionmentioning

confidence: 99%

Analysis of shear localization in porous materials based on a lower bound approach

Sun

Wang

1995

Int J Fract

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“…5.1, we take advantage of the experimental observations presented in [7]. The author investigated the localized fracture mode for tensile sheet specimens of steel simulating both plane stress and plane strain processes.…”

Section: Identification Of Materials Constantsmentioning

confidence: 99%

“…Let us now consider an adiabatic dynamic process in a thin steel plate under the condition of a plane stress state. We idealize the initial-boundary value problem investigated in [7] by assuming for the thin plate a velocity-driven adiabatic process. Dimensions of the plate and the variation in time of the kinematic constraint is presented in Fig.…”

Section: Identification Of Materials Constantsmentioning

confidence: 99%

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Analysis of various effects in dynamic cyclic fatigue damage

Dornowski

Perzyna

2002

Archive of Applied Mechanics (Ingenieur Archiv)

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The objective of the paper is the analysis of various effects in fatigue damage in plastic flow of solids under dynamic cyclic loading. Attention is focused on the investigation of the following effects: (i) influence of the shape of the loading pulse; (ii) softening generated by thermomechanical coupling; (iii) softening generated by microdamage; (iv) plastic strain-induced anisotropy caused by kinematic hardening; (v) plastic spin; (vi) strain-rate sensitivity; (vii) covariant terms.Experimental motivations are given. Based on observations on cyclic fatigue damage in metals at high temperatures we can suggest that intrinsic microdamage processes very much depend on the strain-rate effects as well as on the pulse-shape effects. A microdamage process is treated as a sequence of nucleation, growth and coalescence of microcracks. Microdamage kinetics interacts with thermal and load changes to make the failure of a solid a highly ratetemperature-and history-dependent, nonlinear process. A general constitutive model of an elasto-viscoplastic damaged polycrystalline solid developed within the thermodynamic framework of the rate-type covariance structure with a finite set of internal state variables is assumed, cf. [18]. The internal state variables are postulated and interpreted such that the theory developed here takes account of (i) plastic nonnormality; (ii) plastic strain-induced anisotropy; (iii) microdamage softening; (iv) thermal-plastic softening and thermal expansion; (v) rate sensitivity; (vi) plastic spin. Kinetics of the microdamage and the kinematic hardening law are modified in order to describe suitably the time-and temperature-dependent effects. Relaxation time is used as a regularization parameter. Rate-independent elastic-plastic response is obtained when the relaxation time tends to zero.Viscoplastic regularization procedure assures a stable integration algorithm by using the finite difference method. Attention is focused on the well-posedness of the evolution problem (the initial-boundary value problem) as well as on its numerical solutions. The Lax-Richtmyer equivalence theorem is used, and conditions under which this theory is valid are examined. The identification procedure is developed. Utilizing the finite difference method for a regularized elasto-viscoplastic model, a numerical investigation of a dynamic adiabatic deformation under cyclic loading condition is presented. Particular examples are: dynamic, adiabatic and isothermal cyclic loading processes for a thin steel plate with a rectangular hole located in the center. Two regions undergoing significant deformations and a temperature rise are determined. Their evolution until the occurrence of a final fracture simulated together with the accumulation of damage and equivalent plastic deformation at each cycle. It is found that this accumulation depends on the pulse shape of the assumed loading cycle. The nucleation of the macrocrack is examined and the propagation of the macrocrack during the cyclic dynamic process is described. The influen...

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Flow and fracture of a Ni-Fe metallic glass

Davis¹,

Yeow²

1980

J Mater Sci

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Instability of plastic flow in the directions of pure shear: II. Experimental

Cited by 27 publications

References 3 publications

Analysis of shear localization in porous materials based on a lower bound approach

Analysis of shear localization in porous materials based on a lower bound approach

Analysis of various effects in dynamic cyclic fatigue damage

Flow and fracture of a Ni-Fe metallic glass

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