Strain inhomogeneity and discontinuous crack growth in a particulate composite

González, J. L. García; Knauss, W. G.

doi:10.1016/s0022-5096(98)00037-4

Cited by 53 publications

(22 citation statements)

References 9 publications

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“…When the applied global strain was 0.2, the maximum local strain was found to be about 0.7, which is more than three-times the applied strain. This agrees with the three-to 13-fold strain localization observed in the experiments [398,399]. However, the current studies on damage and strain softening phenomena are mostly limited to continuum modeling [32,333,395,400,401].…”

Section: Nonlinear Viscoelasticity Viscoplasticity and Damagesupporting

confidence: 86%

Challenges in Multiscale Modeling of Polymer Dynamics

et al. 2013

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The mechanical and physical properties of polymeric materials originate from the interplay of phenomena at different spatial and temporal scales. As such, it is necessary to adopt multiscale techniques when modeling polymeric materials in order to account for all important mechanisms. Over the past two decades, a number of different multiscale computational techniques have been developed that can be divided into three categories: (i) coarse-graining methods for generic polymers; (ii) systematic coarse-graining methods and (iii) multiple-scale-bridging methods. In this work, we discuss and compare eleven different multiscale computational techniques falling under these categories and assess them critically according to their ability to provide a rigorous link between polymer chemistry and rheological material properties. For each technique, the fundamental ideas and equations are introduced, and the most important results or predictions are shown and discussed. On the one hand, this review provides a comprehensive tutorial on multiscale computational techniques, which will be of interest to readers newly entering this field; on the other, it presents a critical discussion of the future opportunities and key challenges in the multiscale geometric mapping matrix between all-atomistic and coarse-grained models N number of monomers per chain N e entanglement length, which is the number of monomers between two entanglements n v number of polymer chains per unit volume n ij (n 0 (r ij )) entanglement number (at equilibrium) between particle pairs i and j p r , P R configurational probability distributions in all-atomistic and coarse-grained models, respectively R ee end-to-end distance of polymer chain R G radius of gyration of polymer chain s segment index/contour length variable along primitive chain S(q) single chain coherent dynamic scattering function Z number of entanglements per chain, defined as Z = N/N e α exponent in standard Mittag-Leffler function σ

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Section: Nonlinear Viscoelasticity Viscoplasticity and Damagesupporting

confidence: 86%

Challenges in Multiscale Modeling of Polymer Dynamics

et al. 2013

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“…4, it is seen that the strain distribution is highly non-uniform, especially when the applied strain is high. This has been pointed out in a paper by Gonzales and Knauss [11]. For a given applied strain, the strain in section E-A is close to the average strain calculated by the standard method (i.e., dividing the incremental length by the effective gage length of 6.89 cm).…”

Section: Resultssupporting

confidence: 72%

Monitoring Microstructural Evolution, Crack Formation, and Damage Characteristics near Crack Tip in a Highly Filled Elastomer-Using Digital Radiography X-ray Techniques

Liu

2006

Exp Mech

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In this study, the change of microstructure, the formation of cracks, and the change of damage characteristics near the tip of a propagating crack in a highly filled elastomer containing hard particles embedded in a rubbery matrix were investigated using digital radiography X-ray techniques. Experimental findings reveal that the degree of inhomogeneity of the material's microstructure and the number of nonpropagating cracks increase as the applied strain is increased. Also, the damage characteristics near the crack tip are highly dependent on the loading history.

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“…Gonzalez and Knauss [8] proved the feasibility of the technique and Abanto-Bueno and Lambros [9] extended the method to real-time measurements while imaging craze development in polyethylene. Digital image correlation is also suitable for nanoscale measurements when coupled with imaging techniques such as STM and AFM.…”

Section: Introductionmentioning

confidence: 99%

Micro- and Nanoscale Deformation Measurement of Surface and Internal Planes via Digital Image Correlation

et al. 2007

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The digital image correlation (DIC) technique is successfully applied across multiple length scales through the generation of a suitable speckle pattern at each size scale. For microscale measurements, a random speckle pattern of paint is created with a fine point airbrush. Nanoscale displacement resolution is achieved with a speckle pattern formed by solution deposition of fluorescent silica nanoparticles. When excited, the particles fluoresce and form a speckle pattern that can be imaged with an optical microscope. Displacements are measured on the surface and on an interior plane of transparent polymer samples with the different speckle patterns. Rigid body translation calibrations and uniaxial tension experiments establish a surface displacement resolution of 1 mm over a 5Â6 mm scale field of view for the airbrushed samples and 17 nm over a 100Â100 mm scale field of view for samples with the fluorescent nanoparticle speckle. To demonstrate the capabilities of the method, we characterize the internal deformation fields generated around silica microspheres embedded in an elastomer under tensile loading. The DIC technique enables measurement of complex deformation fields with nanoscale precision over relatively large areas, making it of particular relevance to materials that possess multiple length scales.

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Strain inhomogeneity and discontinuous crack growth in a particulate composite

Cited by 53 publications

References 9 publications

Challenges in Multiscale Modeling of Polymer Dynamics

Challenges in Multiscale Modeling of Polymer Dynamics

Monitoring Microstructural Evolution, Crack Formation, and Damage Characteristics near Crack Tip in a Highly Filled Elastomer-Using Digital Radiography X-ray Techniques

Micro- and Nanoscale Deformation Measurement of Surface and Internal Planes via Digital Image Correlation

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