Topic
Continuum mechanics
About: Continuum mechanics is a research topic. Over the lifetime, 5042 publications have been published within this topic receiving 181027 citations.
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TL;DR: In this article, the effect of size on the apparent modulus of ultra-small structures was explored and it was shown that for a given system at a specified temperature, the modulus can be significantly smaller than that of the bulk material.
Abstract: The mechanical properties of polymeric nanostructures have been investigated by means of Monte Carlo and molecular dynamics simulations. A continuum mechanics model was applied to determine an apparent modulus for such structures from results of virtual deformation simulations. A recently proposed method based on strain fluctuations was also used to calculate the elasticity tensor for the structures. The effect of size on the apparent modulus of ultra-small structures was explored. Our results indicate that, for a given system at a specified temperature, the modulus of a small structure can be significantly smaller than that of the bulk material. Furthermore, in small systems the elastic constants are shown to become anisotropic.
71 citations
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TL;DR: In this paper, a mixture of any number of materials with elastic and viscous properties in which the constituents may have different temperatures is discussed, and constitutive equations are discussed for a mixture.
Abstract: : Constitutive equations are discussed for a mixture of any number of materials with elastic and viscous properties in which the constituents may have different temperatures.
71 citations
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TL;DR: In this paper, a full three-dimensional (3D) finite element Cosserat formulation is developed within the principles of continuum mechanics in the small deformation framework, which is consistent with plate theory.
71 citations
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TL;DR: In this article, a constitutive model is developed within the general framework of continuum thermodynamics for irreversible processes by identifying a proper set of internal variables together with their conjugate generalized forces, based on which the proposed model is endowed with the capability of describing completely the mechanical behaviours of the damaged system with a limited number of scalar functionals.
71 citations
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TL;DR: In this article, a wave propagation approach of single and double-walled carbon nanotubes conveying fluid is presented through the use of the continuum mechanics, and a simplified Flugge shell equations are proposed as the governing equations of motion for carbon nanotsubes studied here.
Abstract: Wave propagation approach of single- and double-walled carbon nanotubes conveying fluid is presented through the use of the continuum mechanics. A simplified Flugge shell equations are proposed as the governing equations of motion for carbon nanotubes studied here. For the double-walled nanotubes, the deflection of nested tubes is considered to be coupled through the van der Waals interaction between two adjacent nanotubes. Effects of filled fluid property and nanotube diameter on the wave propagation are investigated and analyzed based on the proposed elastic continuum model. The theoretical investigation may give a useful reference for potential design and application of nanoelectronics and nanodevices.
71 citations