L. Brillouin, Tensors in Mechanics and Elasticity, New York 1964.Tensors in Mechanics and Elasticity - BRIOULLIN - 1964L. Brillouin. Tensors in Mechanics and Elasticity. Academic Press, 1964. 130L. Brillouin, Tensors in mechanics and elasticity, Academic Press, 1964...
a term in mathematics that came into use in the mid-19th century and has since been employed in two distinct senses. The term is most commonly used in the modern tensor calculus, where it refers to a special type of quantity that transforms according to a special law. In mechanics, partic...
Elasticity tensors for isotropic hyperelasticity in principal stretches are formulated and implemented for the Finite Element Method. Hyperelastic constitu
Superionics are fascinating materials displaying both solid- and liquid-like characteristics: as solids, they respond elastically to shear stress; as liquids, they display fast-ion diffusion at normal conditions. In addition to such scientific interest,
To form this tensor, the tensor product of each second order tensor with itself is formed, and these products are then summed, giving the tensor Rabcd the same symmetry properties as the elasticity tensor in continuum mechanics. This tensor has been studied with respect to many properties: ...
Elasticity Tensors in Nematic Liquid Crystals 来自 ideas.repec.org 喜欢 0 阅读量: 22 作者: AC Sparavigna 摘要: The paper is discussing the contributions to the free energy of elastic distortions in a nematic liquid crystal. These contributions are here given by tensors, which are ...
- 《Quarterly Journal of Mechanics & Applied Mathematics》 被引量: 11发表: 2007年 Stochastic modelling of symmetric positive definite material tensors EFFECTIVE ELASTICITY TENSORSINVERSE PROBLEMSELLIPTIC PDESSpatial symmetries and invariances play an important role in the behaviour of materials and should...
Superionics are fascinating materials displaying both solid- and liquid-like characteristics: as solids, they respond elastically to shear stress; as liquids, they display fast-ion diffusion at normal conditions. In addition to such scientific interest,
To develop realistic models of paper at the micro- or macroscale, the inclusion of single fiber orientation or global anisotropy is important as it influences various properties of paper and paperboard. These are: (i) in-plane paper mechanics, such as tensile strain and fracture properties (Lahti...
Fourth-ordertensorsplayanimportantroleincontinuummechanicswherethey appearaselasticityandcompliancetensors.Inthissectionwedefinefourth-order tensorsandlearnsomebasicoperationswiththem.Tothisend,weconsideraset Lin n ofalllinearmappingsofonesecond-ordertensorintoanotheronewithinLin n . Suchmappingsaredenotedbya...