The discrete layer potentials

Abstract This paper focuses on four tire computational models based on two-dimensional shear deformation theories, namely, the first-order Timoshenko-type theory, the higher-order Timoshenko-type theory, the first-order discrete-layer theory, and the higher-order discrete-layer theory. The joint influence of anisotropy, geometrical nonlinearity, and laminated material response on the tire stress-strain fields is examined. The comparative analysis of stresses and strains of the cord-rubber tire on the basis of these four shell computational models is given. Results show that neglecting the effect of anisotropy leads to an incorrect description of the stress-strain fields even in bias-ply tires.

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Three-layer composite panel with discrete layer and bionic principles

IOP Conference Series Materials Science and Engineering ◽

10.1088/1757-899x/1083/1/012027 ◽

2021 ◽

Vol 1083 (1) ◽

pp. 012027

Author(s):

I A Mayatskaya ◽

B M Yazyev ◽

V D Eremin

Keyword(s):

Composite Panel ◽

Layer Composite ◽

Discrete Layer

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Multiple layer potentials and the dirichlet problem for higher order elliptic equations in the plane I

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160100202 ◽

1957 ◽

Vol 10 (2) ◽

pp. 179-239 ◽

Cited By ~ 40

Author(s):

Shmuel Agmon

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Higher Order ◽

Layer Potentials ◽

Multiple Layer

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Direct design of super-narrowband fiber grating filter with discrete layer-peeling algorithm

10.1117/12.802246 ◽

2008 ◽

Author(s):

Peng Chen ◽

Rong Wang ◽

Tao Pu ◽

Lin Lu ◽

Yingxun Zhu ◽

...

Keyword(s):

Fiber Grating ◽

Direct Design ◽

Layer Peeling ◽

Discrete Layer

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Boundary Layer Potentials in Poroelasticity

A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs ◽

10.1007/978-3-319-17079-4_4 ◽

2015 ◽

pp. 65-90

Author(s):

Matthias Albert Augustin

Keyword(s):

Boundary Layer ◽

Layer Potentials

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A local target specific quadrature by expansion method for evaluation of layer potentials in 3D

Journal of Computational Physics ◽

10.1016/j.jcp.2018.03.006 ◽

2018 ◽

Vol 364 ◽

pp. 365-392 ◽

Cited By ~ 10

Author(s):

Michael Siegel ◽

Anna-Karin Tornberg

Keyword(s):

Expansion Method ◽

Layer Potentials

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On the 2D Quaternionic Metaharmonic Layer Potentials

Mediterranean Journal of Mathematics ◽

10.1007/s00009-017-0995-6 ◽

2017 ◽

Vol 14 (5) ◽

Author(s):

J. Bory Reyes ◽

R. Abreu Blaya ◽

M. A. Pérez de la Rosa ◽

B. Schneider

Keyword(s):

Layer Potentials

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The Spectral Radius of the Classical Layer Potentials on Convex Domains

Partial Differential Equations with Minimal Smoothness and Applications - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4612-2898-1_12 ◽

1992 ◽

pp. 129-137 ◽

Cited By ~ 12

Author(s):

Eugene Fabes ◽

Mark Sand ◽

Jin Keun Seo

Keyword(s):

Spectral Radius ◽

Layer Potentials ◽

Convex Domains

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Multiple layer potentials for the quadrant and their application to the Dirichlet problem in plane domains with a piecewise smooth boundary

Banach Center Publications ◽

10.4064/-10-1-7-26 ◽

1983 ◽

Vol 10 (1) ◽

pp. 7-26

Author(s):

Günter Albinus

Keyword(s):

Dirichlet Problem ◽

Smooth Boundary ◽

Piecewise Smooth ◽

Piecewise Smooth Boundary ◽

Layer Potentials ◽

Multiple Layer

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ON THE ROBIN PROBLEM FOR STOKES AND NAVIER–STOKES SYSTEMS

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202506001327 ◽

2006 ◽

Vol 16 (05) ◽

pp. 701-716 ◽

Cited By ~ 15

Author(s):

REMIGIO RUSSO ◽

ALFONSINA TARTAGLIONE

Keyword(s):

Boundary Layer ◽

Weak Solution ◽

Lipschitz Domain ◽

Stokes System ◽

Navier Stokes ◽

Robin Problem ◽

Layer Potentials ◽

Very Weak Solution ◽

Stokes Systems ◽

Compact Boundary

The Robin problem for Stokes and Navier–Stokes systems is considered in a Lipschitz domain with a compact boundary. By making use of the boundary layer potentials approach, it is proved that for Stokes system this problem admits a very weak solution under suitable assumptions on the boundary datum. A similar result is proved for the Navier–Stokes system, provided that the datum is "sufficiently small".

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