Optimization of Carbon Black Polymer Composite Microstructure for Rupture Resistance

San, Bingbing; Waisman, Haim

doi:10.1115/1.4035050

Cited by 23 publications

(13 citation statements)

References 38 publications

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“…An extension to anisotropic, hyperelastic materials, like soft biological tissues, was presented in [18] and [19]. [20] and [21] used a phase-field damage model to investigate the failure at the microscale of carbon black reinforced rubber composites. These works highlighted the ability of phase-field damage approaches to model nucleation and coalescence of several cracks.…”

Section: Introductionmentioning

confidence: 99%

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Rate-dependent phase-field damage modeling of rubber and its experimental parameter identification

Loew

Peters

Beex

2019

Journal of the Mechanics and Physics of Solids

102

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Phase-field models have the advantage in that no geometric descriptions of cracks are required, which means that crack coalescence and branching can be treated without additional effort. Miehe et al. [1] introduced a rate-independent phase-field damage model for finite strains in which a viscous damage regularization was proposed. We extend the model to depend on the loading rate and time by incorporating rubber's strain-rate dependency in the constitutive description of the bulk, as well as in the damage driving force. The parameters of the model are identified using experiments at different strain rates. Local strain fields near the crack tip, obtained with digital image correlation (DIC), are used to help identify the length scale parameter. Three different degradation functions are assessed for their accuracy to model the rubber's rate-dependent fracture. An adaptive time-stepping approach with a corrector scheme is furthermore employed to increase the computational efficiency with a factor of six, whereas an active set method guarantees the irreversibility of damage. Results detailing the energy storage and dissipation of the different model constituents are included, as well as validation results that show promising capabilities of rate-dependent phase-field modeling.

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Section: Introductionmentioning

confidence: 99%

“…21) while setting ∆d A = 0. The active set A is updated within each iteration until the constraint is fulfilled at every node.…”

mentioning

confidence: 99%

Rate-dependent phase-field damage modeling of rubber and its experimental parameter identification

Loew

Peters

Beex

2019

Journal of the Mechanics and Physics of Solids

102

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“…In addition, GAs work on the chromosome, which is the encoded version of variables of potential solutions instead of variables themselves. is allows for an efficient optimization involving either continuous or discrete variables [31,33].…”

Section: Miga Optimizationmentioning

confidence: 99%

Simultaneous Shape and Stacking Sequence Optimization of Laminated Composite Free‐Form Shells Using Multi‐Island Genetic Algorithm

San

Xiao

Qiu

2019

Advances in Civil Engineering

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A simultaneous shape and stacking sequence optimization algorithm is presented for laminated composite free-form shells, by which the coupled effect of shape and stacking sequence can be considered. The optimization objective is determined as maximizing fundamental natural frequency to obtain largest stiffness of shells. Nonuniform rational B-spline (NURBS) is employed to represent free-form geometrical shapes. The coordinates of NURBS control points and fiber orientations are set up as continuous and discrete optimization variables, respectively, and optimized simultaneously. To improve the efficiency of the mixed continuous-discrete optimization, multi-island genetic algorithm (MIGA) is employed to search for the global result. Through several numerical examples, the performance of the proposed approach is demonstrated in comparison with the two-phase optimization method; the effect of boundary conditions and the setup of control points on optimal results are investigated, respectively.

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“…Recently, optimization of reinforced inclusions within a matrix material has become a prevalent topical area of research in the literature. For instance, San and Waisman maximized the fracture resistance of two‐phase materials made of a natural rubber matrix and circular carbon black particles by a genetic algorithm, coupled with a phase‐field fracture model. Gu et al studied a greedy algorithm to optimize composite structures constituting soft and stiff materials with a prescribed crack.…”

Section: Introductionmentioning

confidence: 99%

Level‐set topology optimization for maximizing fracture resistance of brittle materials using phase‐field fracture model

Fang

Zhou

et al. 2020

Numerical Meth Engineering

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Summary Fracture is one of the most common failure modes in brittle materials. It can drastically decrease material integrity and structural strength. To address this issue, we propose a level‐set (LS) based topology optimization procedure to optimize the distribution of reinforced inclusions within matrix materials subject to the volume constraint for maximizing structural resistance to fracture. A phase‐field fracture model is formulated herein to simulate crack initiation and propagation, in which a staggered algorithm is developed to solve such time‐dependent crack propagation problems. In line with diffusive damage of the phase‐field approach for fracture; topological derivatives, which provide gradient information for the topology optimization in a LS framework, are derived for fracture mechanics problems. A reaction‐diffusion equation is adopted to update the LS function within a finite element framework. This avoids the reinitialization by overcoming the limitation to time step with the Courant‐Friedrichs‐Lewy condition. In this article, three numerical examples, namely, a L‐shaped section, a rectangular slab with predefined cracks, and an all‐ceramic onlay dental bridge (namely, fixed partial denture), are presented to demonstrate the effectiveness of the proposed LS based topology optimization for enhancing fracture resistance of multimaterial composite structures in a phase‐field fracture context.

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Optimization of Carbon Black Polymer Composite Microstructure for Rupture Resistance

Cited by 23 publications

References 38 publications

Rate-dependent phase-field damage modeling of rubber and its experimental parameter identification

Rate-dependent phase-field damage modeling of rubber and its experimental parameter identification

Simultaneous Shape and Stacking Sequence Optimization of Laminated Composite Free‐Form Shells Using Multi‐Island Genetic Algorithm

Level‐set topology optimization for maximizing fracture resistance of brittle materials using phase‐field fracture model

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