This is the first part of a short three-paper series, aiming to revisit some classical concepts of Linear Elastic Fracture Mechanics. The motive of this first paper is to highlight some controversial issues, related to the unnatural overlapping of the lips of a ‘mathematical’ crack in an infinite plate loaded by specific combinations of ...
Markides, Christos +1 more
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Free Vibration Behavior of a Gradient Elastic Beam with Varying Cross Section
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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On Finite Element Computations of Contact Problems in Micropolar Elasticity
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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Elastic-plastic analysis of shells by variational method on the basis of high-degree polynomials
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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Anisotropic and dispersive wave propagation within strain-gradient framework [PDF]
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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Couple stress theory of curved rods. 2-D, high order, Timoshenko’s and Euler-Bernoulli models
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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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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Yue’s solution of classical elasticity in n-layered solids: Part 1, mathematical formulation [PDF]
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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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.
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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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