Couple stresses and the fracture of rock

Atkinson, C.; Coman, Ciprian D.; Aldazábal, J.

doi:10.1098/rsta.2014.0120

Cited by 5 publications

(5 citation statements)

References 35 publications

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“…In Figure 8 (b), the crack path appears to be less smooth compared to the homogeneous model. As the further increase of the material heterogeneity in Figure 8 (c), several discontinuous damage material points away from the main crack can be observed due to high heterogeneity, and this is because the Gc of those material points Figure 10 shows the experimental setup of the cracked Brazilian disc test by Atkinson et al (2015). The main crack path observed from the experiment appears very similar to the simulated crack paths in Figure 8 based on the proposed phase field model.…”

Section: Multiphase Composite Materialsmentioning

confidence: 55%

“…In rock mechanics, cracked Brazilian disc tests (CBDT) are broadly utilized to examine mixed-mode fracturing (Atkinson et al, 2015). In this section, the proposed phase field method is used to simulate the crack evolution of a two-dimensional cracked Brazilian disc.…”

Section: Cracked Brazilian Disc Testmentioning

confidence: 99%

“…Recent experimental studies have preliminarily revealed the relationship between complex crack propagation and material microstructures. Atkinson et al (2015) and Nooru-Mohamed (1992) experimentally study rock and concrete samples under mixed-mode loading scenarios and deflected crack paths are observed. Schlangen and Van Mier (1992a) and Van Mier (1991) conduct crack experiments on mesoscale cementitious material samples, and a relation between cohesive and heterogeneity is revealed.…”

Section: Introductionmentioning

confidence: 99%

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Numerical study on crack propagation in linear elastic multiphase composite materials using phase field method

Chu

Gao

et al. 2018

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Purpose The purpose of this paper is to develop an efficient numerical method to study the complex crack initiation and propagation in linear elastic multiphase composites. Design/methodology/approach A phase field method is developed to study the complex fracture behavior in multiphase composites. A damage threshold is introduced for referring crack initiation in the proposed method. The damage threshold is assigned as a material property so that different composite components possess different thresholds. In this manner, smooth transition from crack initiation to propagation is revealed. Findings The proposed method is used to investigate complex crack evolution in mesoscale cementitious composite, which consists of aggregates, matrix and void pores. From a mesoscale point of view, it is found that cracks prefer to evolve within the matrix phase. As a crack encounters an aggregate, it tends to bypass the aggregate and evolve along the interface. Cracks tend to avoid to penetrate through aggregates. Also, cracks tend to be attracted by void pores. From a mesoscale point of view, it is revealed that the elastic modulus and strength of concrete models are closely related to porosity. Originality/value A criterion with a damage threshold is introduced to the proposed method. The criterions with and without a damage threshold are compared with each other in details. The proposed method is proven to be a useful tool to study mechanical behavior and crack evolution of brittle multiphase composites.

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Section: Multiphase Composite Materialsmentioning

confidence: 55%

Section: Cracked Brazilian Disc Testmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical study on crack propagation in linear elastic multiphase composite materials using phase field method

Chu

Gao

et al. 2018

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“…More specially we have to mention remarkable books of Eringen and Nowacki as well as fundamental treatise of Truesdell and Toupin . For information on the experimental study and elastic constants in micropolar elasticity one can refer to []. The research in the field of generalized continuous media focused on generalization of the Cosserat's model and on the creation of new simplified models which are relatively simple on one hand and on the other hand can adequately take into account the microstructure of a material.…”

Section: Introductionmentioning

confidence: 99%

Higher order couple stress theory of plates and shells

Zozulya

2018

Z Angew Math Mech

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New higher order models of the couple stress plates and shells have been developed here. The 3-D equations of the linear couple stress elasticity have been presented in an orthogonal system of coordinates. For the creation of 2-D models of plates and shells the curvilinear system of coordinates related to the middle surface of the shell has been used along with a special hypothesis based on assumptions that consider the fact that the considered plates and shells are thin. Higher order theory is based on the expansion of the 3-D equations of the linear couple stress theory of elasticity into Fourier series in terms of Legendre polynomials. The stress and strain tensors, as well as vectors of displacements and rotation have been expanded into Fourier series in terms of Legendre polynomials with respect to thickness. Thereby, all equations of the linear couple stress theory of elasticity (including generalized Hooke's law) have been transformed to the corresponding equations for the Legendre polynomials coefficients. Then, in the same way as in the classical theory of elasticity, a system of differential equations in terms of displacements with boundary conditions for the Legendre polynomials coefficients has been obtained. All equations for higher order theory of the couple stress plates in Cartesian and polar coordinates as well as for cylindrical and spherical shells in coordinates related to the shells geometry have been developed and presented here in detail. The obtained equations can be used for calculating the stress-strain and for modelling thin walled structures in macro, micro and nano scale when considering micropolar couple stress and rotation effects. K E Y W O R D Scouple stress, higher order theory, Legendre polynomial, plates, shell 1834

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“…Quite a few years earlier, Orowan [29] had remarked in pioneering work that fracturing is a mechanismsensitive process, hence such added descriptions as 'fatigue fracturing', 'creep fracturing', etc. Such consideration applies to any number of different type observations made in the already referenced articles [42,49,50,53,59] and relates to other variable stress aspects of controlled fracture testing as exemplified in the articles by Atkinson et al [74], Matic et al [70] and Mughrabi [75].…”

mentioning

confidence: 99%

Fracturing across the multi-scales of diverse materials

Armstrong

Antolovich

Griffiths

et al. 2015

Phil. Trans. R. Soc. A.

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Everyone has to deal with fracturing of materials at one level or another, beginning from normal household chores and extending to the largest scale of observations reported for catastrophic events occurring on a geological level or even expanded to events in outer space. Such wide perspective is introduced in the current introduction of this theme issue. The follow-on organization of technical articles provides a flavour of the range in size scales at which fracturing occurs in a wide diversity of materials—from ‘fracking’ oil extraction and earth moving to laboratory testing of rock material and extending to the cracking of tooth enamel. Of important scientific interest are observations made and analysed at the smallest dimensions corresponding to the mechanisms by which fracture is either enhanced or hindered by permanent deformation or other processes. Such events are irrevocably linked to the atomic structure in all engineering materials, a sampling of which is presented, including results for crystalline and amorphous materials. Hooray for the broad subject description that is hoped to be appealing to the interested reader.

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Couple stresses and the fracture of rock

Cited by 5 publications

References 35 publications

Numerical study on crack propagation in linear elastic multiphase composite materials using phase field method

Numerical study on crack propagation in linear elastic multiphase composite materials using phase field method

Higher order couple stress theory of plates and shells

Fracturing across the multi-scales of diverse materials

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