Localized fracture phenomena in thermo-visco-plastic flow processes under cyclic dynamic loadings

Dornowski, W.; Perzyna, P.

doi:10.1007/bf01176245

Cited by 7 publications

(5 citation statements)

References 37 publications

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“…Finally, for explicit statement of a complete set of governing equations, we assume adiabatic conditions, and moreover, we state that: Microdamage does not considerably influence the elastic range, and in every material point of the body there exists an initial microdamage state (cf. [15,24,[54][55][56]). The initial boundary value problem (IBVP), for the above assumptions, is then governed by the following rules.…”

Section: ∂Xmentioning

confidence: 99%

Close Range Explosive Loading on Steel Column in the Framework of Anisotropic Viscoplasticity

Sielicki

Sumelka

Łodygowski

2019

Metals

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The research was based on data obtained from experimental studies and aims in thechallenge of mapping these results by a mathematical (phenomenological) model. The fieldexperiments were performed on an H-section steel column supported by a reinforced concretefoundation and subjected to a close-in explosion. Numerical studies were carried out usingAbaqus/Explicit code. The user subroutine VUMAT for metallic obstacle was also implemented,together with a coupled Eulerian–Lagrangian approach. The steel column failure recorded duringreal field tests versus computational results was examined and compared. It was crucial that, fromthe computational point of view, the obstacle reflected the generalized thermo-elasto-viscoplastic(GTEV) behavior of Perzyna’s type, including an anisotropic measure of damage.

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Section: ∂Xmentioning

confidence: 99%

Close Range Explosive Loading on Steel Column in the Framework of Anisotropic Viscoplasticity

Sielicki

Sumelka

Łodygowski

2019

Metals

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“…Then the constitutive assumption (14) and the evolution equations (19) lead to the results as follows Then the constitutive assumption (14) and the evolution equations (19) lead to the results as follows…”

Section: Thermodynamic Restrictions and Rate Type Constitutive Relationsmentioning

confidence: 99%

“…This has been done by assumption that the stress intensity invariants for nucleation and growth depend on the three invariants of stress tensor, cf. It has been shown by Dornowski and Perzyna [17], [18], [19], [20] that this modification helps to describe the accumulation of damage during dynamic loading cyclic process. (25) and (26).…”

Section: Influence Of Stress Triaxiality On the Evolution Of Microdamagementioning

confidence: 99%

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Constitutive Modelling of Dissipative Solids for Application in Modern Manufacturing Processes

Perzyna¹

2004

AIP Conference Proceedings

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Articles you may be interested inA force-based large increment method for 2D continuum solids and the mesh convergence study AIP Conf.Abstract. The main objective of this paper is to survey some recent developments in the constitutive modelling of inelastic polycrystalline solids, which may be used for the description of important problems in modern manufacturing processes. This description is needed for the investigation by using the numerical methods how to avoid unexpected plastic strain localization and fracture phenomena in manufacturing technology. Since modern manufacturing processes lead to very complex state of stress and deformation for a solid body under consideration then in the description we have to take into account the influence of stress triaxiality and plastic spin effects. In this lecture emphasis is laid on experimental and physical foundations as well as on mathematical constitutive modelling for the description of localization of plastic deformation and various modes of fracture phenomena in polycrystalline solids. The description of kinematics of finite deformations and the stress tensors is given. The development of a thermo-elasto-viscoplastic model within the thermodynamic framework of the rate type covariance constitutive structure with finite set of the internal state variables is presented. Particular attention is focused on the determination of the evolution laws for the internal state variables. Fracture criterion based on the evolution of microdamage is formulated. By assuming that the mechanical relaxation time is equal to zero the thermo-elasto-plastic (rate independent) response of the damaged material can be accomplished. The thermodynamical theory of elasto-viscoplasticity of polycrystalline solids presented has important features as follows: (i) invariance with respect to diffeomorphism; (ii) finite plastic deformation and plastic spin effects; (iii) plastic non-normality; (iv) softening effects generated by microdamage mechanism; (v) plastic deformation induced anisotropic effects; (vi) thermomechanical couplings (thermal plastic softening and thermal expansion); (vii) influence of stress triaxiality on the evolution of microdamage; (viii) rate sensitivity; (ix) length scale sensitivity; (x) regularization of the evolution problem; (xi) dissipation and dispersion effects; (xii) synergetic effects generated by cooperative phenomena. All these fundamental features have been carefully discussed. It should be noted that the very important part of the constitutive modelling is the identification procedure for the material functions and constants involved in the constitutive equations proposed.

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“…A large number of such investigations have been reported in the open literature (see for instance Refs. [1][2][3][4][5][6][7][8]). Due to its catastrophic nature, most of the failure investigations in notched domains have been focused on brittle fracture.…”

Section: Introductionmentioning

confidence: 98%

Combined tension–shear fracture analysis of V-notches with end holes

et al. 2015

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In the present research, two stress-based failure criteria were proposed to predict brittle fracture in components containing V-notches with end holes (VO-notches) under mixed mode I/II loading. The first criterion, called VO-MTS, was an extension of the maximum tangential stress (MTS) criterion, and the second one, called VO-MS, was developed based on the mean stress (MS) failure concept. Two different groups of critical distances were utilized in the predictions. The first group was equal to the critical distances for sharp crack, and the second one was computed by using the mode I fracture test results on notched specimens. To verify the criteria, the theoretical fracture curves were compared with numerous experimental results gathered from 108 new brittle fracture tests performed on the Brazilian disk specimens weakened by central V-notches with end holes and made of PMMA under mode I and mixed mode I/II loadings. It was found that both the criteria provide very good predictions to the experimental results for different mode mixity ratios. Also, found in this research was that the curves are almost independent of the critical distance groups, meaning that one can simply utilize the critical distances of sharp crack in both the VO-MTS and the VO-MS criteria without requiring performing mode I VO-notch fracture experiments. List of symbolsCTSN Compact-tension-shear-notch CZM Cohesive zone model d Total slit length in the VO-BD specimen D Diameter of the VO-BD specimen d c Critical distance of the MS criterion for sharp cracks d c,vo Critical distance of the MS criterion for VO-notch E Young's modulus ERNFT Effective relative notch fracture toughness FE Finite element FFM Finite fracture mechanics FNR Fictitious notch radius K vo eff Effective relative notch fracture toughness K IC Plane-strain fracture toughness of material K vo I Mode I notch stress intensity factor

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Localized fracture phenomena in thermo-visco-plastic flow processes under cyclic dynamic loadings

Cited by 7 publications

References 37 publications

Close Range Explosive Loading on Steel Column in the Framework of Anisotropic Viscoplasticity

Close Range Explosive Loading on Steel Column in the Framework of Anisotropic Viscoplasticity

Constitutive Modelling of Dissipative Solids for Application in Modern Manufacturing Processes

Combined tension–shear fracture analysis of V-notches with end holes

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