Computational mechanics research trends / Hans P. Berger, editor.

Computational mechanics research trends /

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Bibliographic Details
Other Authors: Berger, Hans P.
Format: Electronic eBook
Language:English
Published: Hauppauge, N.Y. : Nova Science Publishers, ©2010.
Series:Computer science, technology and applications.
Subjects:
Materials > Mathematical models.
Materials > Computer simulation.
Mechanical engineering > Mathematics.
Mechanics, Analytic.
Online Access: Full text (Wentworth users only)
Local Note:ProQuest Ebook Central
Table of Contents:
  • COMPUTATIONAL MECHANICS
  • COMPUTATIONAL MECHANICS
  • CONTENTS
  • PREFACE
  • A NATURAL NEIGHBOUR METHOD BASEDON FRAEIJS DE VEUBEKE VARIATIONAL PRINCIPLE
  • Abstract
  • Introduction
  • Virtual Work Principle
  • Approximation of the Displacement Field
  • Discretized Virtual Work Principle
  • Linear Elastic Theory
  • The Fraeijs de Veubeke Functional
  • The Fraeijs de Veubeke Variational Principle
  • Domain Decomposition and Discretization
  • Equations Deduced from the Fraeijs de Veubeke Variational Principle
  • Matrix Notation
  • Numerical Integration
  • Patch TestsApplication to Pure Bending
  • Application to a Square Membrane with a Circular Hole
  • Extention to non Linear Materials
  • Variational Equation
  • Domain Decomposition and Discretization
  • Matrix Notation
  • Solution of the Matrix Equations
  • Elasto-plastic Material with von Mises Linear Hardening
  • Patch Tests
  • Pure Bending of a Beam
  • Square Membrane with a Circular Hole
  • Extention to Linear Fracture Mechanics
  • Introduction
  • Domain Decomposition and Discretization
  • Solution of the Equation System
  • Patch Tests
  • Translation TestsMode 1 Tests
  • Mode 2 Tests
  • Bar with a Single Edge Crack
  • Conclusions
  • Annex 1: Construction of the Voronoi Cells
  • Case of a Convex Domain
  • Case of a non Convex Domain
  • Annex.2: Laplace Interpolant
  • Case of a Point X Inside the Domain
  • Case of a Point X on the Domain Contour
  • Annex 3. Particular Case of a Regular Grid of Nodes
  • Laplace Interpolant
  • Case 1: X between A and B
  • Case 2: X between B and C
  • Case 3: X between C and D
  • Annex 4. Introduction of the Hypotheses in the FdV Principle
  • Annex 5. Analytical Calculation of V and References
  • NUMERICAL AND THEORETICAL INVESTIGATIONSOF THE TENSILE FAILURE OF SHRUNKCEMENT-BASED COMPOSITES
  • Abstract
  • 1. Introduction
  • 1.1. Characteristics of Shrunk Concrete
  • 1.2. Algorithm to Produce a Shrunk Specimen
  • 1.3. Lattice-Type Modeling of Concrete
  • 1.4. Paper Structure
  • 2. GB Lattice Model
  • 3. Method to Simulate Mismatch Deformation Due to MatrixUniform Shrinkage
  • 4. Global Numerical Procedure
  • 4.1. Mohr-Coulomb Criterion
  • 4.2. Event-By-Event Algorithm
  • ""5. Theoretical Analyses of Influences of Pre-stressed Field""""6. Numerical Examples and Discussions""; ""6.1. Production of Shrunk Specimens""; ""6.2. Tensile Examples on Specimens without the Shrinkage-Induced Stress:Case 1 and Case 2""; ""6.3. Analysis of a Typical Case for Shrunk Specimens: Case 3""; ""6.4. Influence of the Shrinkage Rate: Case 3-5""; ""7. Conclusions""; ""Acknowledgments""; ""References""; ""RECENT ADVANCES IN THE STATIC ANALYSIS OFSTIFFENED PLATES â€? APPLICATION TO CONCRETEOR TO COMPOSITE STEEL-CONCRETE STRUCTURES""; ""Abstract""; ""Introduction""

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