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Complex Potentials and Integral Equations for Thermoelasticity Problem of Orthotropic Cracked Plate [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2022 In the present article, the plane thermoelasticity problem of an infinite orthotropic cracked plate, is studied. The interaction between thermal and mechanical field, in a plate containing a crack and a heat source is investigated. The plate is submitted
Panagiota Lalou +1 more
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Fracture and Structural Integrity, 2023 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 ...
Christos F. Markides +1 more
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Applied Sciences, 2020 The article focuses on the bending problem for a cantilever beam with a straight through-thickness crack, perpendicular to its axis under bending by concentrated force.
Mykhaylo Delyavskyy +2 more
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Second-Order Multiparameter Problems Containing Complex Potentials
Axioms, 2022 In this work, we provide some lower bounds for the number of squarly integrable solutions of some second-order multiparameter differential equations. To obtain the results, we use both Sims and Sleeman’s ideas and the results are some generalization of ...
Ibrahim Erdal, Ekin Uğurlu
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A New Approach to Non-Singular Plane Cracks Theory in Gradient Elasticity
Mathematical and Computational Applications, 2019 A non-local solution is obtained here in the theory of cracks, which depends on the scale parameter in the non-local theory of elasticity. The gradient solution is constructed as a regular solution of the inhomogeneous Helmholtz equation, where the ...
Sergey A. Lurie +2 more
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Revisiting the Reflected Caustics Method: the Accurate Shape of the “Initial Curve”
Engineering Transactions, 2013 The shape of the “initial curve”, i.e. the locus of material points, which if properly illuminated provide (under specific conditions) the “caustic curve”, is explored.
Christos F. MARKIDES +1 more
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Late ventricular potentials in risk assessment of the occurrence of complex ventricular arrhythmia in patients with myocardial infarction and heart failure [PDF]
Vojnosanitetski Pregled, 2004 Aim. To determine the prognostic significance of late ventricular potentials on signal-averaged electrocardiogram and left ventricular ejection fraction for the occurrence of complex ventricular arrhythmia in patients treated with accelerated tissue-type
Ćosić Zoran +3 more
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Jamming anomaly in -symmetric systems
New Journal of Physics, 2016 The Schrödinger equation with a ${ \mathcal P }{ \mathcal T }$ -symmetric potential is used to model an optical structure consisting of an element with gain coupled to an element with loss. At low gain–loss amplitudes γ , raising the amplitude results in
I V Barashenkov +2 more
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Stresses and Displacements in an Elliptically Perforated Circular Disc Under Radial Pressure
Engineering Transactions, 2014 The complex potentials governing the elastic equilibrium of a finite circular disc, elliptically perforated at its center, are obtained using Muskhelishvili’s formulation.
Christos F. MARKIDES +1 more
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Complex Tasks: Potentials and Pitfalls
Mathematics, 2020 Life in today’s world is characterized by complexity and rapid change. Twenty-first century skills and especially mathematical understanding are supposed to crucially contribute to meeting the demands of our world since mathematics offers strategies to ...
Nina Bohlmann, Ralf Benölken
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