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

Format:

Book

Contributor:

Berger, Hans P.

Series:

Computer Science, Technology and Applications

Computer science, technology and applications

Language:

English

Subjects (All):

Materials--Mathematical models.

Materials.

Materials--Computer simulation.

Mechanical engineering--Mathematics.

Mechanical engineering.

Mechanics, Analytic.

Physical Description:

1 online resource (608 p.)

Edition:

1st ed.

Place of Publication:

Hauppauge, N.Y. : Nova Science Publishers, c2010.

Language Note:

English

Summary:

Computational mechanics is the discipline concerned with the use of computational methods to study phenomena governed by the principles of mechanics. This book gathers the latest research from around the globe in this dynamic field.

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 Tests""""Application 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 Tests""""Mode 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 INVESTIGATIONS OF THE TENSILE FAILURE OF SHRUNK CEMENT-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 Matrix Uniform 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 OF STIFFENED PLATES APPLICATION TO CONCRETE OR TO COMPOSITE STEEL-CONCRETE STRUCTURES""; ""Abstract""; ""Introduction""

""Statement of the Problem""

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-61122-889-1

OCLC:

832313999