Elastic-plastic analysis of shells by variational method on the basis of high-degree polynomials
Structural Mechanics of Engineering Constructions and Buildings, 2023 The purpose of the research is to develop a variational method for calculation of three-dimensional structures based on approximating functions with finite carriers of an arbitrary degree of approximation.
Farid S. Khayrullin, Oleg M. Sakhbiev
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Free Vibration Behavior of a Gradient Elastic Beam with Varying Cross Section
Shock and Vibration, 2014 Based on strain gradient elasticity theory, a finite element procedure is proposed for computation of natural frequencies for the microbeams of constant width and linear varying depth.
Mustafa Özgür Yayli
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Anisotropic and dispersive wave propagation within strain-gradient framework [PDF]
, 2016 In this paper anisotropic and dispersive wave propagation within linear strain-gradient elasticity is investigated. This analysis reveals significant features of this extended theory of continuum elasticity. First, and contrarily to classical elasticity,
Auffray, Nicolas, Rosi, Giuseppe
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Love wave in a classical linear elastic half-space covered by a surface layer described by the couple stress theory [PDF]
Acta Mechanica, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hui Fan, Limei Xu
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On Finite Element Computations of Contact Problems in Micropolar Elasticity
Advances in Materials Science and Engineering, 2016 Within the linear micropolar elasticity we discuss the development of new finite element and its implementation in commercial software. Here we implement the developed 8-node hybrid isoparametric element into ABAQUS and perform solutions of contact ...
Victor A. Eremeyev +2 more
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Solution of the Thermoelastic Problem for a Two-Dimensional Curved Beam with Bimodular Effects
Mathematics, 2022 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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Data driven problems in elasticity [PDF]
, 2017 We consider a new class of problems in elasticity, referred to as Data-Driven problems, defined on the space of strain-stress field pairs, or phase space.
Conti, Sergio +2 more
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Couple stress theory of curved rods. 2-D, high order, Timoshenko’s and Euler-Bernoulli models
Curved and Layered Structures, 2017 New models for plane curved rods based on linear couple stress theory of elasticity have been developed.2-D theory is developed from general 2-D equations of linear couple stress elasticity using a special curvilinear system of coordinates related to the
Zozulya V.V.
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Yue’s solution of classical elasticity in n-layered solids: Part 1, mathematical formulation [PDF]
, 2015 This paper presents the exact and complete fundamental singular solutions for the boundary value problem of a n-layered elastic solid of either transverse isotropy or isotropy subject to body force vector at the interior of the solid.
Yue, QZQ
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The resultant linear six‐field theory of elastic shells: What it brings to the classical linear shell models? [PDF]
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2015 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 ...
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