COUPLE-STRESSES IN THE THEORY OF ELASTICITY, I & II 来自 ResearchGate 喜欢 0 阅读量: 1289 作者: WT Koiter 摘要: CiteSeerX - Scientific documents that cite the following paper: Couple stresses in the theory of elasticit
internal stressesstress effects/ A0340D Mathematical theory of elasticity A4630C ElasticityWe apply micro-polar elasticity equations to solve the problem of a curved bar of unit thickness in the form of one quarter of a circular annulus whose one edge is constrained and the other edge has a ...
Couple-stress-based theories, in which an additional deformation measure termed the curvature is introduced along with its conjugate pair known as the couple stresses, are commonly used in the literature to simulate the influence of material microstructures of small-scale objects. The original (...
Therefore, in our physics modeling, the substrate material is treated by the classical linear elasticity where the micro-length is negligibly small. On the other hand, the surface layer is treated by the couple stress theory (or the higher-order strain gradient theories) where a micro-length ...
Toupin, R.: Elastic materials with couple-stresses. Arch. Ration. Mech. Anal. 11(1), 385–414 (1962) MathSciNet MATH Google Scholar Mindlin, R.D., Eshel, N.: On first strain-gradient theories in linear elasticity. Int. J. Solids Struct. 4(1), 109–124 (1968) MATH Google Schol...
Among all the theories developed to incorporate the intrinsic motion of the material constituents [1-2], the Stokes micro- continuum theory [2] is the simplest allowing the polar effects such as the presence of couple stresses (stresses produced by the spin of the micro elements), body ...
Attia and Shanab [66] predicted the free oscillations of composite nanobeams including couple and surface stresses. The prime objective considered in the current investigation is to introduce an efficient probabilistic-based numerical strategy to analyze the effects of various microstructural-dependent ...
strain gradient elasticityhyperstressesmodified couple stress modelsymmetric couple stressconsistent couple stress model74A1074A35We show that the reasoning in favor of a symmetric couple stress tensor in Yang et al.'s introduction of the modified couple stress theory contains a gap, but we present ...
Abstract Micro scale experiments demonstrated that the material deformation behaviors of some metals and polymers deformed elasticity are size dependence, and the modified couple stress theory (MCST), which introduce an additional material length scale parameter, could capture the size dependences. The art...
The current work investigates the transverse vibration of a piezothermoelastic (PTE) nanobeam in the frame of dual-phase-lag thermoelasticity theory. Close