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An Extended Kirchhoff–Love Shell Model with Out-of-Plane Normal Stress: Out-of-Plane Deformation
In this chapter on a hyperelastic extended Kirchhoff–Love shell model with out-of-plane normal stress, we present the derivation of the new model,... -
Plane Elements
This chapter starts with the analytical description of plane elasticity members. Based on the three basic equations of continuum mechanics, i.e., the... -
Finite-Element Analysis of the Elastoplastic State of a Plane with Elliptic Inclusion in the Presence of Interface Crack
We consider the problem of determination of the elastoplastic stress-strain state of a matrix containing an elliptic inclusion of a different...
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Green’s Function and Wave Scattering in Inhomogeneous Anti-plane PEM Half-Plane
Half-plane Green’s functions and wave scattering solutions in quadratically and exponentially graded in respect to depth piezoelectric half-plane... -
Boundary Integral Equations Analysis of Bone Resorption Effect on Stress State Near Dental Implants
The results of numerical modeling by the boundary integral equations method of bone tissue resorption influence on stress state near screw dental... -
Gyroscopically Coupled In-Plane and Out-of-Plane Vibrations of Rotating Hollow Circular Plate: Case of In-Plane Axis of Rotation
AbstractIn this work, we construct and study a model of the coupled plane-transverse vibrations of a circular thin plate with a concentric hole under...
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Stress State of an Elastic Body with Rigid Inclusion in the Form of a Broken Line Under Harmonic Wave Loads
We solve the problem of determination of the stress state formed in the vicinity of a tunnel rigid inclusion with cross section in the form of a...
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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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Determination of Stress Concentration Near Dies, Holes, and Cracks in the Half Plane Based on the Method of Integral Equations and Green Solutions
We proposed an approach to the solution of a contact problem for an isotropic multiple connected half plane with holes and cracks interacting with a...
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Effect of Surface Stresses on the Antiplane Stress-Strain State of a Thin Ribbon-Like Interface Inclusion
On the basis of the theory of functions of complex variable and the method of jump functions, we propose a procedure of taking into account the...
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Stress State Near Cracks Originating from the Edges of a Thin Rigid Inclusion Caused by the Action of Longitudinal Shear Waves
We study the stress concentration near cracks originating from the edges of a thin rigid inclusion at an arbitrary angle under the action of harmonic...
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On the Stress-Strain State of Elliptic Cylinders in the Three-Dimensional Statement
Applying the finite-element method, we analyze the stress-strain state of three-dimensional solids bounded by cylindrical surfaces with directrices...
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Airy stress function for proposed thermoelastic triangular elements
This study aims to improve the performance of thermoelastic triangular elements. New triangular elements are proposed with different degrees of...
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Equilibrium of an Elastic Half Plane with Rigidly Fixed Boundary Weakened by an Oblique Cut
We consider a new problem of balance of an elastic half plane with rigidly fixed boundary containing a rectilinear cut appearing on the boundary at a...
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Plane Potential Field Outside a Symmetric T-Shaped Profile
We consider a new plane problem of the potential theory outside a symmetric T-shaped profile. In view of the symmetry of the profile, we reduce the...
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Scattering of plane SH waves by a concentric semi-cylindrical discontinuity and canyon
The discontinuity of the medium and the irregularity of the ground significantly affect the propagation of seismic waves. However, the comprehensive...
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Antiplane shear crack in a prestressed elastic medium based on the couple stress theory
A prestressed elastic medium containing a mode-III crack is studied by means of the couple stress theory (CST). Based on the CST under initial...
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Numerical modelling of a nonplanar strike slip fault and associated stress distribution in lithosphere asthenosphere system
In seismology, the nature of ground deformation in seismically active regions in between two major seismic events has an immense connection with...
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Complex-valued Wigner entropy of a quantum state
It is common knowledge that the Wigner function of a quantum state may admit negative values, so that it cannot be viewed as a genuine probability...
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Plane Contact Problems for an Elastic Foundation with Two Bedding Coefficients
We consider the problem of contact interaction of the punches of various shapes with an elastic foundation modeled by an elastic layer with two...