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  1. 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,...
    Yasutoshi Taniguchi, Kenji Takizawa, ... Tayfun E. Tezduyar in Frontiers in Computational Fluid-Structure Interaction and Flow Simulation
    Chapter 2023
  2. 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...
    Chapter 2023
  3. 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...

    V. J. Adlucky, V. V. Loboda in Journal of Mathematical Sciences
    Article 01 February 2023
  4. 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...
    Conference paper 2023
  5. 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...
    Conference paper 2023
  6. Gyroscopically Coupled In-Plane and Out-of-Plane Vibrations of Rotating Hollow Circular Plate: Case of In-Plane Axis of Rotation

    Abstract

    In this work, we construct and study a model of the coupled plane-transverse vibrations of a circular thin plate with a concentric hole under...

    N. F. Morozov, A. V. Lukin, I. A. Popov in Vestnik St. Petersburg University, Mathematics
    Article 20 May 2024
  7. 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...

    V. G. Popov, O. V. Lytvyn in Journal of Mathematical Sciences
    Article 01 May 2022
  8. 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...

    Yansong Wang, Baolin Wang, ... Kaifa Wang in Applied Mathematics and Mechanics
    Article 23 April 2023
  9. 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...

    О. V. Maksymovych, Т. Ya. Solyar in Journal of Mathematical Sciences
    Article 21 February 2022
  10. 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...

    Y. Z. Piskozub, H. Т. Sulym in Journal of Mathematical Sciences
    Article 03 May 2023
  11. 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...

    A. S. Misharin, V. G. Popov in Journal of Mathematical Sciences
    Article 01 November 2023
  12. 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...

    А. Ya. Grigorenko, S. N. Yaremchenko in Journal of Mathematical Sciences
    Article 21 February 2022
  13. 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...

    Arash Karimi Pour, Ehsan Noroozinejad Farsangi in Journal of Engineering Mathematics
    Article 28 January 2023
  14. 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...

    Article 21 February 2022
  15. 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...

    Article 03 May 2023
  16. 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...

    Article 29 February 2024
  17. 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...

    Jian Chen, Yawei Wang, **anfang Li in Applied Mathematics and Mechanics
    Article 04 April 2023
  18. 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...

    Subhash Chandra Mondal, Suma Debsarma in GEM - International Journal on Geomathematics
    Article 06 July 2023
  19. 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...

    Nicolas J. Cerf, Anaelle Hertz, Zacharie Van Herstraeten in Quantum Studies: Mathematics and Foundations
    Article Open access 16 May 2024
  20. 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...

    O. V. Maksymuk, Yu. V. Sachuk, S. M. Yatsyuk in Journal of Mathematical Sciences
    Article 26 May 2023
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