Characterization of material inhomogeneity by stationary values of strain energy density

Sih, G. C.; Chu, Rong-Shian

doi:10.1016/0167-8442(86)90002-9

Cited by 37 publications

(4 citation statements)

References 3 publications

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“…In general, the SED, dW/dV, of a certain region in the system can be calculated. Whether one particular element is to yield or fracture is determined by its SED [17,18]:…”

Section: Materials Fracture Criterionmentioning

confidence: 99%

Friction coefficient investigation on IC dam-bar trimming process by inverse method with experimental trimmed geometric profiles

Lin

Chen²

2007

International Journal of Machine Tools and Manufacture

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“…In general, the SED, dW/dV, of a certain region in the system can be calculated. Whether one particular element is to yield or fracture is determined by its SED [17,18]:…”

Section: Materials Fracture Criterionmentioning

confidence: 99%

Friction coefficient investigation on IC dam-bar trimming process by inverse method with experimental trimmed geometric profiles

Lin

Chen²

2007

International Journal of Machine Tools and Manufacture

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“…where ó ij and å ij are the components of stress and strain respectively, W denotes the total stored energy, which contains the effects of distortion and dilatation while V denotes the volume element. In the case of plasticity, the distortional and dilatational parts are not additive but they can be determined from the maximum and minimum values of W with reference to the coordinate variables [10][11][12].…”

Section: Strain Energy Densitymentioning

confidence: 99%

“…Fracture initiation sites can be assumed [10,11] to correspond to the location where dilatation energy dominates. This is where the SED attains a relative minimum denoted as (dW =dV ) min .…”

Section: Fracture Initiation Of a Discontinuous Chipmentioning

confidence: 99%

Elastic-plastic finite element analysis for oblique cutting with a discontinuous chip of 6-4 brass

Lin

2001

The Journal of Strain Analysis for Engineering Design

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If the workpiece material experiences tremendous strain during the chip formation process or brittle material undergoes fracture in the primary deformation zone when the chip is only partly formed, the segmented chip formed under the above conditions is called a discontinuous chip. With the introduction of the tool inclination angle geometry, an elastic-plastic finite element model is developed for oblique cutting of discontinuous chip. The tool is P20 while the workpiece is made of 6-4 brass. The initial crack location, the direction of crack growth and variations of discrete chips are examined under the condition of a low cutting speed. These predictions are made possible by application of the strain energy density theory. The initial crack was formed in the (d W/d V)maxmin region (i.e. the maximum region among many of the strain energy density minima) of the chip surface and grew progressively along the stationary values of the strain energy density function. The direction of crack growth was based on the maximum strain energy density curve along the surface. The fracture process on the other chip layers was identical with that on the chip surface and occurred in sequence until it reached the chip free surface. The plastic deformation and friction result in a high equivalent stress on the chip surface above the tool tip, especially at the place of crack formation. As more residual stress is present after cutting, degradation of the workpiece prevails and should be accounted for.

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“…In this study, we use a code developed by Hachi and his team that was used to solve problems involving cracks in case of static and dynamic load and crack growth prediction, homogenization in 2D and 3D, etc [19][20][21]. Sih developed the SED theory for the purpose of solving fracture mechanics problems [22][23][24]. He identified the global and local strain energy density, as well as the fracture behavior factors.…”

Section: Introductionmentioning

confidence: 99%

Investigation fatigue crack initiation and propagation cruciform welded joints by extended finite element method (XFEM) and implementation SED approach

Djeloud

Moussaoui

Kellai

et al. 2022

Frattura Ed Integrità Strutturale

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This study has used the strain energy density (SED) approach to evaluate the stress intensity factor (SIF) of cracked cruciform welded joints in Hardox 450 steel. A microstructural analysis was made of Hardox 450 steel which is composed of refined and tempered low carbon martensite. The obtained results of simulation will be compared with those provided by J-integral methode for different enriched zones and contours based on the extended finite element method (XFEM) coupled with the level set technique (LST). Crack initiation and propagation under cyclic loading have been adopted for the modeling of cruciform welded joints.

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Characterization of material inhomogeneity by stationary values of strain energy density

Cited by 37 publications

References 3 publications

Friction coefficient investigation on IC dam-bar trimming process by inverse method with experimental trimmed geometric profiles

Friction coefficient investigation on IC dam-bar trimming process by inverse method with experimental trimmed geometric profiles

Elastic-plastic finite element analysis for oblique cutting with a discontinuous chip of 6-4 brass

Investigation fatigue crack initiation and propagation cruciform welded joints by extended finite element method (XFEM) and implementation SED approach

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