Can Coulomb criterion be generalized in case of ductile materials? An application to Bridgman experiments

Andrianopoulos, N. P.; Manolopoulos, V.M.

doi:10.1016/j.ijmecsci.2011.11.003

Cited by 11 publications

(11 citation statements)

References 26 publications

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“…As shown in Figure 6a,b, both the plane separation driven by the normal tensile stress σ n and the plane sliding driven by the shear stress τ n can result in macroscopic material failure. These two stress components are correlated with the two main failure mechanisms in solids: cleavage and slip, respectively [18]. The normal compressive stress increases the difficulty of shearing along the plane, thus suppressing material failure (see Figure 6c).…”

Section: Discussion Of the Linear Mohr-coulomb Criterionmentioning

confidence: 93%

A Macroscopic Strength Criterion for Isotropic Metals Based on the Concept of Fracture Plane

Chen

et al. 2019

Metals

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Although the linear Mohr–Coulomb criterion is frequently applied to predict the failure of brittle materials such as cast iron, it can be used for ductile metals too. However, the criterion has some significant deficiencies which limit its predictive ability. In the present study, the underlying failure hypotheses of the linear Mohr–Coulomb criterion were thoroughly discussed. Based on Mohr’s physically meaningful concept of fracture plane, a macroscopic strength criterion was developed to explain the failure mechanism of isotropic metals. The failure function was expressed as a polynomial expansion in terms of the stresses acting on the fracture plane, and the quadratic approximation was employed to describe the non-linear behavior of the failure envelope. With an in-depth understanding of Mohr’s fracture plane concept, the failure angle was regarded as a generalized strength parameter in addition to the failure stress (i.e., the conventional basic strength). The undetermined coefficients of the non-linear failure function were calibrated by the strength parameters obtained from the common uniaxial tension and compression tests. Theoretical and experimental assessment for different types of isotropic metals validated the effectiveness of the proposed criterion in predicting material failure.

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Section: Discussion Of the Linear Mohr-coulomb Criterionmentioning

confidence: 93%

A Macroscopic Strength Criterion for Isotropic Metals Based on the Concept of Fracture Plane

Chen

et al. 2019

Metals

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“…This quantity T is path independent and so, a relationship between dilatational T V and distortional part T D of T is obtained (Andrianopoulos and Manolopoulos 2010). This approach proved to be quite successful in predicting the failure behavior of metals under high levels of pressure (Andrianopoulos and Manolopoulos 2012) where for the first time -according to our best knowledge -the classical experiments of Bridgman (1952) were theoretically justified.…”

Section: Introductionmentioning

confidence: 89%

“…In order to cover pressure dependence and nonlinearity of elastic strains, a generalization of the T-criterion was recently introduced (Andrianopoulos and Boulougouris 2004;Andrianopoulos et al 2007Andrianopoulos et al , 2008Andrianopoulos and Manolopoulos 2012). The general case of an isotropic material showing nonlinear elastic behavior was considered, and the total elastic strain energy density T was anticipated as the characteristic quantity for the respective conservative field.…”

Section: Introductionmentioning

confidence: 99%

Elastic strain energy density decomposition in failure of ductile materials under combined torsion-tension

Andrianopoulos

Manolopoulos

2014

Int J Mech Mater Eng

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The constitutive behavior and failure of ductile materials are described in the present work for a general case of loading in terms of the secant moduli, which depend on the first (dilatational) and second (deviatoric) strain invariants. This approach exposes the distinct behavior of materials to the equivalent normal and shear stresses. The secant moduli enable the establishment of two (instead of one) constitutive equations necessary for the complete description of these materials. Emphasis is given in the accuracy of the resulting constitutive equations in terms of their predictions relative to actual experimental data for two materials systems. Failure predictions, according to T-criterion, are derived for two materials under combined torsion and tension, which are in good agreement with experimental data. Finally, the associated failure surfaces in a stress space are presented as well.

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“…In a previous work [21], we had dealt with strain invariants I| and ,/2 in order to describe the present failure criterion. It is sim pler and closer from the engineering point of view to adopt in the present case 0 and Eeq.…”

Section: Failure Criterionmentioning

confidence: 99%

On the Failure Locus of Isotropic Materials in the Stress Triaxiality Space

Manolopoulos

Andrianopoulos

2015

Journal of Engineering Materials and Technology

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The aim of this paper is to contribute to the prediction of the failure of materials (ductile and brittle) with a single criterion (rule) not violating the assumptions of continuum mechanics. In this work, the failure behavior of isotropic materials is connected with the ability of a material to store elastic strain energy from the very start of loading until its fracture. This elastic strain energy is known that is separated in a distortional and a dilatational part. So, when one of these quantities takes a critical value, then the material fails either by slip or by cleavage. The behavior of a material is described with regard to the secant elastic moduli depending on both unit volume expansion 0 and equivalent strain eeq. This dependence enlightens, in physical terms, the different reaction of materi als in normal and shear stresses. T-criterion is applied for the prediction of failure in a series of experiments that took place to an aluminum alloy (AI-5083) and to PMMA (Plexiglas). A single criterion was used for two totally different materials and the predic tions are quite satisfactory. This work is a step toward the direction of using one criterion in order to explain and predict failure in materials independently of the plastic strain that developed before fracture.

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Can Coulomb criterion be generalized in case of ductile materials? An application to Bridgman experiments

Cited by 11 publications

References 26 publications

A Macroscopic Strength Criterion for Isotropic Metals Based on the Concept of Fracture Plane

A Macroscopic Strength Criterion for Isotropic Metals Based on the Concept of Fracture Plane

Elastic strain energy density decomposition in failure of ductile materials under combined torsion-tension

On the Failure Locus of Isotropic Materials in the Stress Triaxiality Space

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