Last edited by Tejas
Tuesday, July 28, 2020 | History

4 edition of Analysis and approximation of contact problems with adhesion or damage found in the catalog.

Analysis and approximation of contact problems with adhesion or damage

by Mircea Sofonea

  • 371 Want to read
  • 23 Currently reading

Published by Chapman & Hall/CRC in Boca Raton .
Written in English

    Subjects:
  • Contact mechanics -- Mathematical models.

  • Edition Notes

    Includes bibliographical references and index.

    StatementMircea Sofonea, Weimin Han, Meir Shillor.
    SeriesMonographs and textbooks in pure and applied mathematics -- 276
    ContributionsHan, Weimin., Shillor, M.
    Classifications
    LC ClassificationsTA353 .S64 2006
    The Physical Object
    Paginationxviii, 220 p. ;
    Number of Pages220
    ID Numbers
    Open LibraryOL22721223M
    ISBN 101584885858

    Linear FEA presumes that the stiffness matrix (i.e. the material properties, geometrical configuration and boundary conditions) for the case does not change significantly during the course of analysis. This is a good approximation for cases where the structure and the conditions of the analysis are not expected to change significantly because. Spectral analysis is used to develop an algebraic relationship between the surface displacement and the contact pressure. This relationship can be used to find the contact pressure or displacement for the contact of smooth surfaces or the complete contact of rough surfaces.

    This monograph deals with mathematical and numerical analysis of recent models for contact processes that may include adhesion or material damage. For . 11 Overview - Analysis, Data, and Substantiation • Design/Flaw Criteria – Certification requirements – Flaws, damage, NDI threshold • Analysis Methods – Closed-form eqns, A4EI, 2D vs. 3D, FEA – Failure criteria – Fracture, VCCT – Durability, damage tolerance • Design Data and Allowables – Material properties for analysis – Design allowables, statistics.

    The best-modified exponential approximation is then used in the case of elastic-plastic contacts of Chang et al. () (CEB model), to obtain closed-form solutions, which favorably compare with the numerical results using the Gaussian distribution. Numerical analysis and simulations of a dynamic frictionless contact problem with damage M Campo, JR Fernández, KL Kuttler, M Shillor, JM Viaño Computer methods in applied mechanics and engineering (), ,


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Analysis and approximation of contact problems with adhesion or damage by Mircea Sofonea Download PDF EPUB FB2

Book Description. Research into contact problems continues to produce a rapidly growing body of knowledge. Recognizing the need for a single, concise source of information on models and analysis of contact problems, accomplished experts Sofonea, Han, and Shillor carefully selected several models and thoroughly study them in Analysis and Approximation of Contact Problems with Adhesion or Damage.

Research into contact problems continues to produce a rapidly growing body of knowledge. Recognizing the need for a single, concise source of information on models and analysis of contact problems, accomplished experts Sofonea, Han, and Shillor carefully selected several models and thoroughly study them in Analysis and Approximation of Contact Problems with Adhesion or by: Recognizing the need for a single, concise source of information on models of contact problems, accomplished experts Sofonea, Han, and Shillor have carefully selected and thoroughly examined several models in Analysis and Approximation of Contact Problems with Adhesion or Damage.

The book describes very recent models of contact processes with adhesion or damage along with their mathematical formulations, variational analysis, and numerical analysis. Analysis and Approximation of Contact Problems with Adhesion or Damage. The book describes very recent models of contact processes with adhesion or damage along with their mathematical formulations, variational analysis, and numerical analysis.

Get this from a library. Analysis and approximation of contact problems with adhesion or damage. [Mircea Sofonea; Weimin Han; M Shillor].

Research into contact problems continues to produce a rapidly growing body of knowledge. Recognizing the need for a single, concise source of information on models and analysis of contact problems, accomplished experts Sofonea, Han, and Shillor carefully selected several models and thoroughly study them in Analysis and Approximation of Contact PCited by: Analysis and Approximation of Contact Problems with Adhesion or Damage (Chapman & Hall/CRC Pure and Applied Mathematics) He lost his re-election bid to stephen p.

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Research into contact problems continues to produce a rapidly growing body of knowledge. Recognizing the need for a single, concise source of information on models and analysis of contact problems, accomplished experts Sofonea, Han, and Shillor carefully selected several models and thoroughly study them in Analysis and Approximation of Contact Problems with Adhesion or Damage.

This paper studies an adhesive contact model which also takes into account the damage and long memory term. The deformable body is composed of a viscoelastic material and the process is taken as quasistatic. The damage of the material caused by the compression or the tension is involved in the constitutive law and the damage function is modelled through a nonlinear parabolic inclusion.

Analysis and Approximation of Contact Problems with Adhesion or Damage. Mircea Sofonea, Weimin Han, and Meir Shillor FRICTIONLESS CONTACT PROBLEMS WITH ADHESION Quasistatic Viscoelastic Contact with Adhesion Dynamic Viscoelastic Contact with Damage Problem Statement Existence and Uniqueness.

The ‘JKR’ energetic approach provides a convenient and reliable approximation to the solution in such cases provided that the problem is ‘macroscopic’—i.e. that the resulting contact and separation regions are large relative to the length scale defined by equation ()—but many modern applications of adhesive contact mechanics.

Shillor, M. Sofonea and J. Telega, "Models and Analysis of Quasistatic Contact,", Lecture Notes in Physics, (). Google Scholar [31] M. Sofonea, W. Han and M. Shillor, "Analysis and Approximations of Contact Problems with Adhesion or Damage,", Pure and Applied Mathematics (Boca Raton), ().

Google Scholar [32]. Contact mechanics was and is an important branch in mechanics which covers a broad field of theoretical, numerical and experimental investigations.

In this carefully edited book the reader will obtain a state-of-the-art overview on formulation, mathematical analysis and numerical solution procedures of contact problems. Recognizing the need for a single, concise source of information on models and analysis of contact problems, accomplished experts Sofonea, Han, and Shillor carefully selected several models and thoroughly study them in Analysis and Approximation of Contact Problems with Adhesion or Damage.

The book describes very recent models of contact. and M. Shillor, Analysis and Approximation of Contact Problems with Adhesion or Damage, Pure and Applied Mathematics, Volume ISBN In: Analysis and Approximations of Contact Problems with Adhesion or Damage.

Pure and Applied Mathematics, vol. Chapman & Hall/CRC, Boca Raton () Google Scholar () Analysis of an adhesive contact problem for viscoelastic materials with long memory. Journal of Mathematical Analysis and Applications() Quasistatic adhesive contact delaminating in mixed mode and its numerical treatment.

Contact mechanics is the study of the deformation of solids that touch each other at one or more points. A central distinction in contact mechanics is between stresses acting perpendicular to the contacting bodies' surfaces (known as the normal direction) and frictional stresses acting tangentially between the surfaces.

This page focuses mainly on the normal direction, i.e. on frictionless. where the averaged peel stress, σ av, and average shear stress, τ av, denote the averaged quantities along the midplane of the adhesive values are normalized using the applied (far-field) stress, σ app.A comparison of these solutions with the results of a FE analysis is available in Goh et al.

(), in which flaws of various sizes were embedded at the composite-adhesive interface. The existence and uniqueness of the weak solution to the model for the dynamics of a viscoelastic rod which is in adhesive contact with an obstacle is.This chapter reviews mathematical approaches to inelastic processes on the surfaces of elastic bodies.

We mostly consider a quasistatic and rateindependent evolution at small strains and the so-called energetic solution. This concept is applied e.g. to brittle/elastic delamination, cohesive contact problems, and to delamination in various modes.

First we treat peeling of adhesive tape from a surface. The tape is regarded as a flexible string, part of which adheres to the surface and part of which is separated from it. The free boundary is the point (or points) at which separation takes place and the problem is to find the trajectory of this point (or points) together with the motion of.