Nonlocal theory of curved rods. 2-D, high order, Timoshenko’s and Euler-Bernoulli models
New models for plane curved rods based on linear nonlocal theory of elasticity have been developed. The 2-D theory is developed from general 2-D equations of linear nonlocal elasticity using a special curvilinear system of coordinates related to the ...
Zozulya V.V.
doaj +1 more source
The resultant linear six‐field theory of elastic shells: What it brings to the classical linear shell models? [PDF]
Basic relations of the resultant linear six‐field theory of shells are established by consistent linearization of the resultant 2D non‐linear theory of shells. As compared with the classical linear shell models of Kirchhoff‐Love and Timoshenko‐Reissner type, the six‐field linear shell model contains the drilling rotation as an independent kinematic ...
openaire +2 more sources
Fractional continua for linear elasticity
Fractional continua is a generalisation of the classical continuum body. This new concept shows the application of fractional calculus in continuum mechanics. The advantage is that the obtained description is non-local.
W. Sumelka, T. Blaszczyk
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AN ECONOMETRIC ANALYSIS OF FARM PRODUCTION . FUNCTIONS FOR THE MOST IMPORTANT CEREAL CROPS IN DAKAHLIA GOVERNORATE [PDF]
Cereal crops are considered to be of important crops in Egypt. Therefore, the study is to estimate farm production functions for cereal crops in Dakahlia Govemorate.
W. El-Batawi +3 more
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Solution of the Thermoelastic Problem for a Two-Dimensional Curved Beam with Bimodular Effects
In classical thermoelasticity, the bimodular effect of materials is rarely considered. However, all materials will present, in essence, different properties in tension and compression, more or less.
Xiao-Ting He +3 more
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New additional conditions required for the uniqueness of the 2D elastostatic problems formulated in terms of potential functions for the derived Papkovich-Neuber representations, are studied.
Guerrero José Luis Morales +3 more
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Micropolar curved rods. 2-D, high order, Timoshenko’s and Euler-Bernoulli models
New models for micropolar plane curved rods have been developed. 2-D theory is developed from general 2-D equations of linear micropolar elasticity using a special curvilinear system of coordinates related to the middle line of the rod and special ...
Zozulya V.V.
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On the decay of exponential type for the solutions in a dipolar elastic body
Our study is concerned with a generalization of the principle of Saint-Venant in the context of the theory of elastic bodies with a dipolar structure.
Marin Marin +3 more
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The problem of dynamic cavitation in nonlinear elasticity [PDF]
The notion of singular limiting induced from continuum solutions (slic-solutions) is applied to the problem of cavitation in nonlinear elasticity, in order to re-assess an example of non-uniqueness of entropic weak solutions (with polyconvex energy)
Miroshnikov, Alexey +5 more
core +2 more sources
Explicit Solutions of the Boundary Value Problems for an Ellipse with Double Porosity
The basic two-dimensional boundary value problems of the fully coupled linear equilibrium theory of elasticity for solids with double porosity structure are reduced to the solvability of two types of a problem. The first one is the BVPs for the equations
Lamara Bitsadze, Natela Zirakashvili
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