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

- 84 Want to read
- 33 Currently reading

Published
**1997** by Oficyna Wydawnicza Politechniki Wrocławskiej in Wrocław .

Written in English

- Elasticity.,
- Boundary value problems.

**Edition Notes**

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

Statement | Janusz Dyszlewicz. |

Classifications | |
---|---|

LC Classifications | QA931 .D88 1997 |

The Physical Object | |

Pagination | 373 p. : |

Number of Pages | 373 |

ID Numbers | |

Open Library | OL315131M |

ISBN 10 | 8370851983 |

LC Control Number | 97226501 |

OCLC/WorldCa | 37931436 |

Full text of "DTIC ADA Transactions of the Conference of Army Mathematicians (22nd) held at Watervliet Arsenal, Watervliet, New York on May See other formats. CONTENTS Message from the Chairman of Board of Directors, UPM 1 Message from the Vice Chancellor of UPM 2 Message from the Chairman of ICRAAM 3 Organising Committee 4 General. The book, consisting of twenty seven selected chapters presented by well-known specialists in the field, is an outgrowth of the Eighth International Conference on Integral Methods in Science and Engineering, held August 2–4, , in Orlando, FL. The Principal investigator of the grant “ Construction, analysis and application of the methodes of solution of multi-scale boundary value and initial-boundary value problems” B in the frame of the same Federal Special Program (Action , state contract № B),

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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.

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: The aim of this paper is to study the asymptotic partition of the energy associated with the solution of the initial-boundary value problem who describes the behavior of binary homogeneous micropolar mixtures of an isotropic micropolar elastic solid with an incompressible micropolar viscous fluid.

Some Lagrange-Brun identities are established. Using the Cesáro means of various parts of total. On boundary value problems associated with Newton’s law of cooling, Appl. Math. Lett. 10 (), no. 5, 55– Elastic boundary conditions in the theory of plates, Math. Mech.

Solids 2 (), – Weak solutions of interior boundary value problems for plates with. 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.

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), the uniqueness of the solution of the mixed initial-boundary-value problem is also investigated.

The ba-sic results and an extensive review on the theory of thermomicrostretch elastic solids can be found in the book of Eringen [17]. The coupled theory of thermoelasticity has been ex-tended by including the thermal relaxation time in the.

They developed completely the theory of boundary value, initial-boundary and contact problems, studied the steady state oscilation problems and investigated other aspects of the theory.

The classical model of thermoelasticity does not take into account the heat flow time. In this paper the regularizing properties of Cosserat elasto-plastic models in a geometrically linear setting are investigated.

For vanishing Cosserat effects it is shown that the Norton–Hoff model with isotropic hardening is approximated by the model with microrotations. To deﬁne a problem we need to impose initial and boundary conditions. Among the different boundary conditions we can assume (see [6], p. ), we here restrict our attention to the ones of the kind u i ¼ 0 and ðu i;jn j ¼ 0orS rsin rn s ¼ 0Þ and ðh ¼ 0orQ in i ¼ 0Þ: Here n i denotes the normal vector to the smooth boundary of the.

In this case the initial-boundary elastodynamic problem is transformed into the countable sets of boundary-value problems for the Fourier coefficients and the unilateral restrictions on crack sides in space-time.

For the problems solution variational inequality with boundary integral equations are applied. Phragmen-Lindelof alternative for the initial boundary value for a theory of nonlinear micropolar elasticity.

International Journal of Nonlinear Mechanics, 41, A. Magaña, R. Quintanilla. On the exponential decay of solutions in one-dimensional generalized porous-thermo-elasticity. Asymptotic Analysis, 49, M.C.

Leseduarte. Springer Series in Geomechanics and Geoengineering Series editors Wei Wu, Universität für Bodenkultur, Vienna, Austria Hydromechanical Modelling of an Initial Boundary Value Problem: FEM × DEM Multi-scale Analysis of Boundary Value Problems.

Boundary Value Problems of Mathematical Theory of Prismatic Shells with Cusps, Proceedings of All-union Seminar in Theory and Numerical Methods in Shell and Plate Theory, Tbilisi University Press,(in Russian) Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, ILUSA Institute for Condensed Matter Theory and Beckman Institute, University of Illinois at Urbana-Champaign, Urbana, ILUSA Department of Mechanical Science and Engineering.

This book examines the experimental and theoretical aspects of bifurcation analysis as applied to geomechanics. Coverage includes basic continuum mechanics for dry and fluid unfiltrated porous media, bifurcation and stability analyses applied to layered geological media and granular materials, and theories for generalized continua as applied to materials with microstructure and in relation to.equations are examined and used to develop a nonlinear theory for binary mixtures of mi-cropolar thermoelastic solids.

The initial boundary value problem is formulated. Then, the theory is linearized and a uniqueness result is established. Part 2 contains some open problems and a research plan designed to approach these problems.The book is designed for a broad readership of graduate students in mechanical and civil engineering, applied mathematics, and physics, as well as to researchers and professionals interested in a rigorous and comprehensive study of modeling non-linear phenomena governed by PDEs.