Mixed-mode translaminar fracture of woven composites using a heterogeneous spring network

Boyina, Dhatreyi; Kirubakaran, T.; Banerjee, Anuradha; Ramachandran, V.

doi:10.1016/j.mechmat.2015.07.013

Cited by 13 publications

(3 citation statements)

References 16 publications

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“…The distinct advantage of the RSNM over the random fuse model is its ability to account for the associated deformations of the network as well as being able to reproduce the continuum elastic properties of a solid, both in compression as well as tension, by relating its spring properties to the elastic constants through equivalence of deformation energy [24]. In recent years, the linear RSNM has been successfully employed in reproducing experimental data from fracture testing of composite laminates [25], compressive failure of bone [26,–28], formation of desiccation crack patterns [29], crack propagation in patterned material [30,–32] and concrete [4]. In a more recent study, nonlinear, power-law hardening spring characteristics were used to model crushing behaviour of an epoxy-based cellular solid [33].…”

Section: Introductionmentioning

confidence: 99%

Interplay between disorder and hardening during tensile fracture of a quasi-brittle solid

2022

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We examine the specific role of the interplay between hardening and disorder characteristics of a representative quasi-brittle material on its failure mechanisms using a random spring network model. The model incorporates quasi-brittleness in its spring constants and disorder in the failure strain threshold and is shown to be effective in simulating the experimentally observed tensile and fracture behaviour of a quasi-brittle epoxy resin-based polymer. It is shown that rapid localization of deformation and associated damage growth occurs for a weakly hardening solid while for a linear elastic material, damage nucleates at multiple independent sites, and there is significant growth of damage, independent of other nucleating sites, prior to maximum load. The failure mechanism is shown to crossover from an avalanche-dominated fracture for a linear elastic material to nucleation-dominated fracture for a weakly hardening material.

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Section: Introductionmentioning

confidence: 99%

Interplay between disorder and hardening during tensile fracture of a quasi-brittle solid

2022

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“…Statistical models, like the random spring network model (RSNM), that approximate the continuum by a network of springs with statistically distributed characteristics, are much better suited for studying fracture in such systems. RSNM has been successful in providing an insight into the role of disorder in the fracture behavior of heterogeneous material systems with no preexisting crack [33], reproducing features like transition from brittle to nonbrittle macroscopic response [34], avalanche size distributions [35] and qualitative [36,37] and quantitative [38] features of fracture of composite materials. In the context of bone, simple one-dimensional models of parallel springs with statistically distributed properties have been used to simulate the characteristic quasi-brittle softening seen in tension and bending [39] as well as in compression of cortical bone [40].…”

Section: Introductionmentioning

confidence: 99%

Role of matrix behavior in compressive fracture of bovine cortical bone

2017

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In compressive fracture of dry plexiform bone, we examine the individual roles of overall mean porosity, the connectivity of the porosity network, and the elastic as well as the failure properties of the nonporous matrix, using a random spring network model (RSNM). Porosity network structure is shown to reduce the compressive strength by up to 30%. However, the load-bearing capacity increases with an increase in either of the matrix properties-the elastic modulus or the failure strain threshold. To validate the porosity-based RSNM model with available experimental data, bone-specific failure strain thresholds for the ideal matrix of similar elastic properties were estimated to be within 60% of each other. Further, we observe the avalanche size exponents to be independent of the bone-dependent parameters as well as the structure of the porosity network.

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“…Statistical models, like the random spring network model (RSNM), approximate the continuum by a network of springs with statistically distributed characteristics. Thereby, it has been successful in providing an insight into the role of disorder in the fracture behaviour of heterogeneous material systems with no preexisting crack [36], reproducing features like transition from brittle to non-brittle macroscopic response [37], avalanche size distributions [38] and qualitative [39,40] and quantitative [41] features of fracture of composite materials. In the context of bone, simple one-dimensional models of parallel springs with statistically distributed properties have been used to simulate the characteristic quasi-brittle softening seen in tension and bending [42] as well as in compression of cortical bone [43].…”

Section: Introductionmentioning

confidence: 99%

Splitting fracture in bovine bone using a porosity-based spring network model

Mayya

Praveen

Banerjee

et al. 2016

J. R. Soc. Interface.

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We examine the specific role of the structure of the network of pores in plexiform bone in its fracture behaviour under compression. Computed tomography scan images of the sample pre-and post-compressive failure show the existence of weak planes formed by aligned thin long pores extending through the length. We show that the physics of the fracture process is captured by a two-dimensional random spring network model that reproduces well the macroscopic response and qualitative features of fracture paths obtained experimentally, as well as avalanche statistics seen in recent experiments on porcine bone.

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Mixed-mode translaminar fracture of woven composites using a heterogeneous spring network

Cited by 13 publications

References 16 publications

Interplay between disorder and hardening during tensile fracture of a quasi-brittle solid

Interplay between disorder and hardening during tensile fracture of a quasi-brittle solid

Role of matrix behavior in compressive fracture of bovine cortical bone

Splitting fracture in bovine bone using a porosity-based spring network model

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