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Anti-plane pull-out of a rigid line inclusion from an elastic medium
The transient and static anti-plane problem of a rigid line inclusion pulled out from an elastic medium is studied. The singular integral equation...
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A Mathematical Model for the Determination of Hydrogen Concentration Corresponding to Changes in the Mechanism of Deformation
We propose a three-dimensional mathematical model of hydrogen diffusion in a polycrystalline body taking into account the heterogeneity of diffusion...
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Phase-Field Approximation of Functionals Defined on Piecewise-Rigid Maps
We provide a variational approximation of Ambrosio–Tortorelli type for brittle fracture energies of piecewise-rigid solids. Our result covers both...
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Earthquakes, Critical Phenomena, and Percolation
Earthquakes are one of the most complex phenomena in nature. Their occurrence, especially when their magnitude is large, has important economical and...
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A Modular Interlocking Element for Material-Efficient Stereotomy Construction
In the last decade, research interest in digital stereotomy has been renewed, with efficiency as a popular objective. However, along with a...
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Specific Features of the Contact Interaction and Wear of Thin-Walled Structural Elements
We consider contact problems for thin-walled structural elements and their wear. We propose a unified method for solving the problems based on the...
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A Stochastic Theory of Scale-Structural Fatigue and Structure Durability at Operational Loading
Here are discussed the results of numerous experimental and theoretical investigations of multicyclic fatigue multilevel processes at complex stress...
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Thermoelastic Analysis of Functionally Graded Cylindrical Shells
We perform the analytic investigation of the stress-strain state of a functionally graded cylindrical shell of finite length heated by a...
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Models of Solid Mechanics in the Problems of Ophthalmology
AbstractThis paper presents a very brief review of models constructed in cooperation with ophthalmologists, namely, for the change in the...
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Dynamic analysis of wind turbine tower structures in complex ocean environment
Studying and analyzing the dynamic behavior of offshore wind turbines are of great importance to ensure the safety and improve the efficiency of such...
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Investigation of suitability of marbles to standards with inequality expressions and statistical approach using some physical and mechanical properties
Marble, one of the metamorphic rock formation products, forms by undergoing different physical and chemical processes. The marble samples are tested...
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Adaptive state-constrained/model-free iterative sliding mode control for aerial robot trajectory tracking
This paper develops a novel hierarchical control strategy for improving the trajectory tracking capability of aerial robots under parameter...
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Statics, vibration, and buckling of sandwich plates with metamaterial cores characterized by negative thermal expansion and negative Poisson’s ratio
This paper proposes a three-dimensional (3D) Maltese cross metamaterial with negative Poisson’s ratio (NPR) and negative thermal expansion (NTE)...
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On the Estimation of Seismic Resistance of Modern Composite Oil Pipeline Elements
The initiation of seismic activity on the continental shelf and its destructive effect on composite oil pipelines laid on the seabed is modeled...
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Random Walks
We start with the random walk on the 1-d lattice of the integers of the real line. From this simple model we derive the equations for the process of...
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Nonlocal thermal buckling and postbuckling of functionally graded graphene nanoplatelet reinforced piezoelectric micro-plate
This paper analyzes the nonlocal thermal buckling and postbuckling behaviors of a multi-layered graphene nanoplatelet (GPL) reinforced piezoelectric...
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Stiffness and toughness of soft/stiff suture joints in biological composites
Biological composites can overcome the conflict between strength and toughness to achieve unprecedented mechanical properties in engineering...
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Shape Optimization of an Imperfect Interface: Steady-State Heat Diffusion
In the context of a diffusion equation, this work is devoted to a two-phase optimal design problem where the interface, separating the phases, is...
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Integrated multi-scale approach combining global homogenization and local refinement for multi-field analysis of high-temperature superconducting composite magnets
Second-generation high-temperature superconducting (HTS) conductors, specifically rare earth-barium-copper-oxide (REBCO) coated conductor (CC) tapes,...
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Bending and vibration of two-dimensional decagonal quasicrystal nanoplates via modified couple-stress theory
Based on the modified couple-stress theory, the three-dimensional (3D) bending deformation and vibration responses of simply-supported and...