T-spline based XIGA for fracture analysis of orthotropic media

Ghorashi, Seyed Shahram; Valizadeh, Navid; Mohammadi, Soheil; Rabczuk, Timon

doi:10.1016/j.compstruc.2014.09.017

Cited by 198 publications

(32 citation statements)

References 58 publications

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“…Numerical simulation [17][18][19][20][21][22][23][24][25][26][27][28] would avoid some of the randomness in laboratory experiments and could reflect the effect of critical parameters on hydraulic fracturing characteristics. Many works have been carried out to investigate the influence of some important parameters on hydraulic fracturing by numerical simulation.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Influence of In-Situ Stress Ratio, Injection Rate and Fluid Viscosity on Hydraulic Fracture Propagation Using a Distinct Element Approach

Zhang

et al. 2016

Energies

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Numerical simulation is very useful for understanding the hydraulic fracturing mechanism. In this paper, we simulate the hydraulic fracturing using the distinct element approach, to investigate the effect of some critical parameters on hydraulic fracturing characteristics. The breakdown pressure obtained by the distinct element approach is consistent with the analytical solution. This indicates that the distinct element approach is feasible on modeling the hydraulic fracturing. We independently examine the influence of in-situ stress ratio, injection rate and fluid viscosity on hydraulic fracturing. We further emphasize the relationship between these three factors and their contributions to the hydraulic fracturing. With the increase of stress ratio, the fracture aperture increases almost linearly; with the increase of injection rate and fluid viscosity, the fracture aperture and breakdown pressure increase obviously. A low value of product of injection rate and fluid viscosity (i.e., Qµ) will lead to narrow fracture aperture, low breakdown pressure, and complex or dispersional hydraulic fractures. A high value of Qµ would lead wide fracture aperture, high breakdown pressure, and simple hydraulic fractures (e.g., straight or wing shape). With low viscosity fluid, the hydraulic fracture geometry is not sensitive to stress ratio, and thus becomes a complex fracture network.

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Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Influence of In-Situ Stress Ratio, Injection Rate and Fluid Viscosity on Hydraulic Fracture Propagation Using a Distinct Element Approach

Zhang

et al. 2016

Energies

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“…Despite the existence of many approaches for numerical simulation of crack initiation and propagation in local theory of continuum mechanics (e.g. extended finite element [1,2], meshfree [3,4,5,6,7,8,9], phantom-node [10,11,12], XIGA [13,14] and remeshing techniques [15,16]), it is still a major challenge within these frameworks. From the mathematical point of view, they are based on partial differential equations in which spatial derivatives fail whenever a discontinuity appears in a body [17].…”

Section: Introductionmentioning

confidence: 99%

A non-ordinary state-based peridynamics formulation for thermoplastic fracture

Amani

Öterkuş

Areias

et al. 2016

International Journal of Impact Engineering

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141

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In this study, a three-dimensional (3D) non-ordinary state-based peridynamics (NOSB-PD) formulation for thermomechanical brittle and ductile fracture is presented. The Johnson-Cook (JC) constitutive and damage model is used to taken into account plastic hardening, thermal softening and fracture. The formulation is validated by considering two benchmark examples: 1) The Taylor-bar impact and 2) the Kalthoff-Winkler tests. The results show good agreements between the numerical simulations and the experimental results.

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“…Ghorashi et al (2011) conducted the fracture analysis of structures using XIGA. They (Ghorashi et al, 2015) also performed the fracture analysis of orthotropic cracked media by XIGA using T-spline basis functions. Bhardwaj and Singh (2014a) carried out the analysis of plane problems in the presence of flaws using XIGA.…”

Section: Introductionmentioning

confidence: 99%