L. Brillouin, "Tensors in Mechanics and Elasticity" (Academic Press, N.Y. 1964) 93. In 1938, Brillouin wrote: "If one does not admit the symmetry of the (connection) coefficients, 螕ijk, one obtains the twisted spaces of Cartan, spaces which scarcely have been used in physics to the ...
Mathematics & Mechanics of SolidsNorris, A. N. Euler-rodrigues and cayley formulas for rotation of elasticity tensors. Math. Mech. Solids 13, 26 (2006).Norris A.N.: Euler–Rodrigues and Cayley formulae for rotation of elasticity tensors. Math. Mech. Solids 13 , 465–498 (2008) MathSci...
A. Hoger, Residual stress in an elastic body: a theory for small strains and arbitrary rotations. Journal of Elasticity 31 (1993) 1–24. Google Scholar A. Hoger, On the residual stress possible in an elastic body with material symmetry. Archive for Rational Mechanics and Analalysis 88 (...
Deep learning Convolutional neural networks Homogenization Microstructure–property relations Solid mechanics 1. Introduction Visual perception in the evolution of mammals is intimately related to the development of their cognitive abilities. Mimicking some structural and process properties of visual perception ha...
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,
- 《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...
Corrigendum to “Irreducible structure, symmetry and average of Eshelby's tensor fields in isotropic elasticity” [J. Mech. Phys. Solids 54 (2006) 368–383] Journal of the Mechanics and Physics of Solids, Volume 58, Issue 2, February 2010, Pages 103-104 W.-N. Zou, Q.-S. ZhengView PD...
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...
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: ...
Fourth-ordertensorsplayanimportantroleincontinuummechanicswherethey appearaselasticityandcompliancetensors.Inthissectionwedefinefourth-order tensorsandlearnsomebasicoperationswiththem.Tothisend,weconsideraset Lin n ofalllinearmappingsofonesecond-ordertensorintoanotheronewithinLin n . Suchmappingsaredenotedbya...