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In this paper a finite element technique was employed in conjunction with molecular and continuum mechanics to simulate buckling in graphene/polymer nanocomposites.

The continued increase in computational power, and the availability of faster and more robust algorithms is the basis for advances in the practical use of statistical mechanics to simulate diffusion and reaction in zeolites.

The numerical formulation uses continuum mechanics to simulate the phenomenon of initiation and propagation of interlaminar damage with no need to formulate interface elements, resulting in a computationally less demanding formulation.

The accuracy of the available strength prediction methods (point and average stress methods, inherent flaw model, semi-analytical cohesive zone model and finite fracture mechanics) to simulate the effect of size on the strength of notched composites is discussed.

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A brief overview is given on the capabilities and on the current limitations of the Discrete Element Method (DEM) coupled with Computational Fluid Mechanics (CFD) to simulate chemical reacting moving granular material.

Since the load capacity and structural stiffness of FRP decks deteriorate over time at different rates, it is necessary to develop robust mechanics models to simulate the long-term performance of FRP deck structures subject to the combined effects of mechanical and environmental loading.

In this work, we present a computational micro-mechanics model to simulate spall fracture by utilizing the multiscale micro-mechanics theory proposed by Wright and Ramesh [36] and a RKPM meshfree method.

The cohesive zone relation enables us, together with the mechanical properties, to simulate numerically a fracture mechanics test on an arbitrary geometry and to determine a crack growth resistance curve.

Fluid solid coupling elements were used to describe the behavior of formation stress seepage flow coupling; pore pressure cohesive elements based on damage mechanics were employed to simulate the process of fracture initiation and propagation.

The finite element code RFPA2D (Rock Failure Process Analysis) based on damage mechanics was used to simulate a loading-type failure process around an underground excavation (model tunnel) in brittle rock.

A critical shear stress criterion based on linear elastic fracture mechanics is used to simulate crack growth in an end-notched-flexure (ENF) beam made of z-pinned laminates.

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