Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions

Hamdia, Khader M.; Silani, Mohammad; Zhuang, Xiaoying; He, Pan; Rabczuk, Timon

doi:10.1007/s10704-017-0210-6

Cited by 332 publications

(81 citation statements)

References 59 publications

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“…There is an urgent need to conduct further research into multifunctional testing device for direct measurement of material parameters. An uncertainty analysis as done in [36][37][38] might be helpful. From the above analysis it is notable that when cluster is adopted, lower values for rolling friction coefficient µ r and surface energy k are required to obtain a good match between the experiment and DEM simulation.…”

Section: Discussionmentioning

confidence: 99%

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The Construction of Equivalent Particle Element Models for Conditioned Sandy Pebble

et al. 2019

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When a shield tunneling machine based on earth pressure balance (EPB) bores through the sandy pebble stratum, the conditioned sandy pebble inside the soil cabin of shield machine is an aggregation of numerous granules with pebble grains as skeleton. It is essential to construct a reasonable particle element model of the conditioned sandy pebble before carrying out discrete element simulation of the soil cabin system. Sandy pebble belongs to a kind of frictional material, the friction behavior of which is highly sensitive to the angularity of the grains. In order to take the shape effect into account, two particle element models—single sphere with rolling resistance and cluster of particles—were attempted in this paper. The undetermined contact parameters in two models were calibrated by virtue of least squares support vector regression machine (LS-SVR). With the purpose of making both the flow behavior and mechanical properties of the modeled soil consistent with reality, the calibration targets the result of laboratory test of slump test and large-scale triaxial test as goals. The presented comparative analysis indicates that the two established particle models both can well describe the strength property and fluidity of the actual soil due to properly calibrated parameters. So, the rolling resistance and cluster models are two effective ways to incorporate the shape effect. Besides, because of the angularity of the nonspherical grains, there exists strong interlocking between clusters. So, in the cluster model, relatively smaller rolling friction coefficient and surface energy are required. It is also concluded that the single sphere model is more computationally efficient than the cluster model.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

The Construction of Equivalent Particle Element Models for Conditioned Sandy Pebble

et al. 2019

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“…The analysis method could help the researchers and engineers to evaluate the influences of tunnel setup, material properties of shotcrete, surrounding medium, and excavation speed on the stability and further obtain the optimal tunnel design and construction process. In the future we intend to account for uncertainties as done in …”

Section: Discussionmentioning

confidence: 99%

Stability analysis of shotcrete supported crown of NATM tunnels with discontinuity layout optimization

Zhang

Zhuang

Lackner

2018

Num Anal Meth Geomechanics

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Summary For tunnel constructed by New Austrian Tunnelling Method, the crown is the upper part of tunnel section, constructed during excavation process and supported by shotcrete. The stability of the crown has great influence on the safety of tunnel itself and the buildings above, which correlates, among others, with geometrical setup of tunnel and material properties of shotcrete and soil/rock. In this paper, aiming at analyzing the stability of shotcrete supported crown, a recently presented numerical method discontinuity layout optimization is adopted, which introduces a great amount of potential discontinuities cross over one another and provides a wide search space for efficient upper limit analysis. In the analysis, a well‐established hydration model of cementitious material is implemented for accounting the hydration of shotcrete. Then assumptions based on convergence‐confinement method are used for accounting the 3‐dimensional effect in 2‐dimensional analysis, finally providing time‐space–dependent assessments of stability of shotcrete supported crown.

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“…Various techniques including rigid connection, cohesive zone modeling or employing intermediate phase with defined thickness and properties can be used either for extracting mechanical properties or studying the fracture behavior of nanoparticle reinforced polymers .…”

Section: Mechanical Properties Of Nanoclay/polymermentioning

confidence: 99%

Mechanical Properties of Nanoclay and Nanoclay Reinforced Polymers: A Review

Rafiee

Shahzadi

2018

Polymer Composites

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A literature review is conducted on performed investigations for characterizing Young's modulus of nanoclay platelet as the reinforcing agent of nanoclay/polymer nanocomposites from both experimental and theoretical aspects. The observed discrepancies in the reported results are discussed accordingly. All available investigations for predicting mechanical properties of nanoclay reinforced polymers are also reviewed. The employed methods in ongoing studies are categorized into three groups as atomistic, continuum and multiscale modeling techniques. Those challenging issues which are still in need of more accurate understanding and discussion are identified and outlined through a gap analysis on current investigations. The introduced shortcomings can be considered as prospective research areas for the future studies in the field of estimating mechanical properties of nanoclay based composites. POLYM. COMPOS., 40:431–445, 2019. © 2018 Society of Plastics Engineers

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Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions

Cited by 332 publications

References 59 publications

The Construction of Equivalent Particle Element Models for Conditioned Sandy Pebble

The Construction of Equivalent Particle Element Models for Conditioned Sandy Pebble

Stability analysis of shotcrete supported crown of NATM tunnels with discontinuity layout optimization

Mechanical Properties of Nanoclay and Nanoclay Reinforced Polymers: A Review

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