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Wednesday, August 5, 2020 | History

2 edition of Boundary and initial-boundary value problems of the micropolar theory of elasticity found in the catalog.

Boundary and initial-boundary value problems of the micropolar theory of elasticity

Janusz Dyszlewicz

Boundary and initial-boundary value problems of the micropolar theory of elasticity

by Janusz Dyszlewicz

  • 252 Want to read
  • 38 Currently reading

Published by Oficyna Wydawnicza Politechniki Wrocławskiej in Wrocław .
Written in English

    Subjects:
  • Elasticity.,
  • Boundary value problems.

  • Edition Notes

    Includes bibliographical references (p. [353]-370) and index.

    StatementJanusz Dyszlewicz.
    Classifications
    LC ClassificationsQA931 .D88 1997
    The Physical Object
    Pagination373 p. :
    Number of Pages373
    ID Numbers
    Open LibraryOL315131M
    ISBN 108370851983
    LC Control Number97226501
    OCLC/WorldCa37931436

    Consider the set of equations describing Oldroyd-B fluids with finite Weissenberg numbers in exterior domains. In this note, we describe the main ideas of the proofs of two recent results on global existence for this set of equations on exterior domains subject to Dirichlet boundary conditions. The methods described here are quite different from the techniques used in the Lagrangian approach Author: Matthias Georg Hieber. boundary-value problem of the theory of micropolar elasticity to two-dimensional problem. From our point of view, for achievement of this aim [] during the con-struction of applied general theory of micropolar or classical plates and shells main results of the asymptotic solution of .

    C. Gale ş, On the quasi-static boundary value problems in the theory of swelling porous elastic soils, Multidiscipline Modeling in Materials and Structures, 2 (), C. Gale ş, On the spatial behavior in the theory of viscoelastic mixtures, Journal of Thermal Stresses, 30 (), S. In this paper, we revisit the 2D rotation-strain model which was derived in [14] for the motion of incompressible viscoelastic materials and prove its global well-posedness theory without making use of the equation of the rotation by:

    The elastic behaviors of a two-axes dipole of wedge disclinations and an individual wedge disclination located inside the shell of a free standing core-shell nanowire is studied within the surface/interface elasticity theory. The corresponding boundary value problem is solved using complex potential functions, defined through modeling the. A note on the existence and uniqueness of solutions of the micropolar fluid equations GP Galdi, S Rionero International Journal of Engineering Science 15 (2), ,


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Boundary and initial-boundary value problems of the micropolar theory of elasticity by Janusz Dyszlewicz Download PDF EPUB FB2

A new formulation of boundary value problems in gradient elasticity is presented in this work. The main outcome is the construction of partial differential systems of second order, which are.

Boundary stabilization of vibration of nonlocal micropolar elastic media Article in Applied Mathematical Modelling 36(8) January with 14 Reads How we measure 'reads'.

Fahmy introduced three-temperature nonlinear generalized micropolar-magneto-thermoelasticity theory and developed a new boundary element technique for Modeling and Simulation of complex problems associated with this theory. Theory of micropolar elasticity [17, 18] has been developed for studying the mechanical behavior of polymers and Author: Mohamed Abdelsabour Fahmy.

A numerical boundary integral scheme is proposed for the solution to the system of eld equations of plane. The stresses are prescribed on one-half of the circle, while the displacements are given. The considered problem with mixed boundary conditions in the circle is replaced by two problems with homogeneous boundary conditions, one of each type, having a common : Nahed S.

Hussein. Printed in Great Britain PII: S(98) /98/S--see front matter A METHOD FOR SOLVING THE FIRST INITIAL-AND- BOUNDARY-VALUE PROBLEM OF THE LINEAR THEORY OF ELASTICITY FOR ISOTROPIC BODIESt G. YERMOLENKO and S. YUSHKOV Samara (Received 23 June ) A quadrature of the solution of the first dynamic problem of the Cited by: 2.

Abstract. Following [1, 2] a mathematical investigation of initial-boundary and boundary-value problems of statics, dynamics and natural oscillations for elastic bodies including surface stresses is weak setup of the problems based on mechanical variational principles is given with introducing of corresponding energy by: 2.

Follow Janusz Dyszlewicz and explore their bibliography from 's Janusz Dyszlewicz Author Page. The questions on the decomposition of initial-boundary value problems of elasticity and thin body theory for some anisotropic media are considered.

In particular, the initial-boundary problems of the micropolar (classical) theory of elasticity are presented with the help of the introduced TBM operators (tensors–operators).Cited by: 1. On the uniqueness of solutions to the initial boundary-value problem of the dynamical theory of magneto-elasticity Author links open overlay panel Bruno Carbonaro Remigio Russo Show moreCited by: 1.

In the first part of our paper, we have extended the concepts of the classical convolution and the “convolution scalar product” given by I. Hlavácěk and presented the concepts of the “convolution vector” and the “convolution vector scalar product”, which enable us to extend the initial value as well as the initial-boundary value problems for the equation with the operator Cited by: 1.

The theory of thermoelastic material behavior without energy dissipation possesses the following properties: the heat flow, in contrast to that in classical thermoelasticity characterized by the Fourier law, does not involve energy dissipation; a constitutive equation for an entropy flux vector is determined by the same potential function as also determines the stress, and it permits the Cited by: Linear elasticity is a mathematical model of how solid objects deform and become internally stressed due to prescribed loading conditions.

It is a simplification of the more general nonlinear theory of elasticity and a branch of continuum mechanics. The fundamental "linearizing" assumptions of linear elasticity are: infinitesimal strains or "small" deformations (or strains) and linear.

In [], the author derives some uniqueness criteria for solutions of the Cauchy problem for the standard equations of dynamical linear thermoelasticity backward in ge-Brun identities are combined with some differential inequalities in order to show that the final boundary value problem associated with the linear thermoelasticity backward in time has at most one solution in Cited by: 3.

Global Smooth Solutions to the Initial-Boundary Value Problem for the Equations of One-Dimensional Nonlinear Thermoviscoelasticity. Related Databases. On initial boundary value problems for planar magnetohydrodynamics with large data. On two-scale homogenized equations of one-dimensional nonlinear thermoviscoelasticity with rapidly Cited by: The questions on the decomposition of initial-boundary value problems of elasticity and thin body theory for some anisotropic media are considered.

In particular, the initial-boundary problems of the micropolar (classical) theory of elasticity are presented with the help of the introduced TBM operators (tensors–operators).

the initial Cited by: 1. NON–HOMOGENEOUS BOUNDARY VALUE PROBLEM FOR ONE–DIMENSIONAL COMPRESSIBLE VISCOUS MICROPOLAR FLUID MODEL: A GLOBAL EXISTENCE THEOREM NERMINAMUJAKOVI´C Abstract.

An initial-boundary value problem for 1-D flow of a compressible viscous heat-con-ducting micropolar fluid isconsidered; the fluid is assumed thermodynamically perfect and poly Cited by: Thermoelasticity is treated as a synthesis of the theory of elasticity and the theory of heat conduction.

shells, and viscoelastic bodies. The final chapter focuses on micropolar thermoelasticity, magnetothermoelasticity, and thermopiezoelectricity. a modern treatment of initial value problems and of initial boundary value problems in. The main aim of our study is to use some general results from the general theory of elliptic equations in order to obtain some qualitative results in a concrete and very applicative situation.

In fact, we will prove the existence and uniqueness of the generalized solutions for the boundary value problems in elasticity of initially stressed bodies with voids (porous materials).Cited by: ConstandaC., and ChudinovichI.

“Mixed Initial-Boundary Value Problems for Thermoelastic Plates”. Integral Methods in Science and Engineering: Theoretical and.

The linear theory of micropolar elasticity was introduced by Eringen [1] and the nonlinear theory has been established in [2,3]. Using the theory of simple microfluids presented in [4], Eringen introduced in [5] the theory of micropolar fluids.

A modern presentation of these theories and the intended applications can be found in the books [6,7]. Wave Propagation in Elastic Solids: North-Holland Series in Applied Mathematics and Mechanics - Ebook written by J. D. Achenbach. Read this book using Google Play Books app on your PC, android, iOS devices.

Download for offline reading, highlight, bookmark or take notes while you read Wave Propagation in Elastic Solids: North-Holland Series in Applied Mathematics and Mechanics.theory is a generalization of the theory of micropolar elasticity [11,12,13,14] and a special case of the in the book of Eringen’s book [15].

In the framework of the theory of thermo-microstretch solids Eringen established a uniqueness theorem for the mixed initial-boundary value problem. This investigation was.() The initial boundary value problem for thin-plate flow of incompressible non-Newtonian viscous fluids.

Computers & Mathematics with Applications() SENSITIVITY ANALYSIS FOR AN INCOMPRESSIBLE AEROELASTIC by: