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The theory of Cosserat elasticity (also known as micropolar or asymmetric elasticity) was introduced by Cosserat brothers [1] and further developed by Eringen [2] to model the mechanical behavior of materials for which the microstructure is significant (see [3] for a review of works in this area and an extensive bibliography). The theory was intended to eliminate discrepancies between the class...

In the present study, the buckling analysis of the rectangular nanoplate under biaxial non-uniform compression using the modified couple stress continuum theory with various boundary conditions has been considered. The simplified first order shear deformation theory (S-FSDT) has been employed and the governing differential equations have been obtained using the Hamilton’s principle. An analytic...

Holographic methods are utilized to examine deviations from classical elasticity in a cellular solid, polymethacrylamide closed cell foam. A square cross section bar is subjected to static torsional deformation. The warp deformation is observed to be less in a foam bar than in a homogeneous polymeric bar used as a control. The homogeneous bar obeys the predictions of classical elasticity. Behav...

Abstract This paper is devoted to the study of plane-stress deformation a beam composed non-classical elastic materials that are suitable for modeling certain inter-metallic alloys with nonlinear constitutive relation between linearized strain and stress. The aim derive consistent asymptotic theory without ad hoc assumptions usually made in development theories. methodology involves expanding d...

An interpretation of the Gough-Joule-Effect from an atomistic point of view is given by a special investigation of lattice vibrations using a non-interacting model. The calculations are restricted to crystals with ideal crystal structure built up of only one kind of particles. Approximate analytical formulas are derived. A comparison between the classical macroscopic theory and the here present...

We prove continuous dependence on the intensity coefficient and continuous dependence on the external data in the theory of magneto-elasticity. We do not require the Lamé coefficients to be positive. We use logarithmic convexity arguments similar to those of Ames and Straughan (1992) in classical thermoelasticity. 1. Introduction. In recent years, much attention has been directed to the knowled...

Обычно появление неклассической науки относят к началу XX в. Прежде всего имеют в виду теорию относительности, квантовую механику, излучение энергии, генетику, что совершенно справедливо. Но автор подчеркивает, первая неклассическая теория появилась уже первой половине XIX области математики. По своим методологическим и мировоззренческим основаниям именно геометрия Лобачевского стала теорией. U...

Institution theory represents the fully axiomatic approach to model in which all components of logical systems are treated abstractly by reliance on category theory. Here, we survey some developments over last decade or so concerning institution theoretic non-classical aspects Our focus will be many-valued truth and models with states, addressed two extensions ordinary known as L-institutions s...