Continuum mechanics / Andrus Koppel and Jaak Oja, editors.

Format:

Book

Contributor:

Koppel, Andrus.

Oja, Jaak.

Language:

English

Subjects (All):

Continuum mechanics.

Field theory (Physics).

Physical Description:

1 online resource (347 p.)

Edition:

1st ed.

Place of Publication:

New York : Nova Science Publishers, c2010.

Language Note:

English

Summary:

Continuum mechanics is a branch of mechanics that deals with the analysis of the kinematics and mechanical behaviour of materials modelled as a continuum. This book gathers the latest research from around the globe in this field.

Contents:

""CONTINUUM MECHANICS ""; ""CONTINUUM MECHANICS ""; ""CONTENTS""; ""PREFACE ""; ""MANIFOLDS ON CONTINUUM MECHANICS""; ""ABSTRACT ""; ""1. INTRODUCTION TO DIFFERENTIAL GEOMETRY ""; ""1.1 Manifolds and Tensors on Manifolds ""; ""1.2 Rotation Manifold""; ""1.2.1 Lie Group and Lie Algebra ""; ""1.2.2 Compound Rotation ""; ""1.2.3 Isomorphisms and Tangential Transformations ""; ""1.2.4 Angular Velocities, Accelerations and Curvatures""; ""1.3 Constraint Point-Manifolds ""; ""1.4 Constraint Field-Manifolds ""; ""1.5 Variation, Lie Derivative and Lie Variation ""; ""2. VIRTUAL WORK FORMS ""

""2.1 Weak Balance Equations for Continuum """"2.2 Constitutive Relations ""; ""2.3 On Symmetry of Second Variation""; ""3. PARAMETRIZATION OF CONSTRAINT MANIFOLD""; ""4. CONCLUSIONS ""; ""REFERENCES ""; ""ANALYSIS OF SHELL STRUCTURES APPLYING TRIANGULAR FINITE ELEMENTS ""; ""ABSTRACT ""; ""1. INTRODUCTION ""; ""2. DISPLACEMENT FORMULATION-BASED FLAT TRIANGULAR SHELL ELEMENTS ""; ""3. DISPLACEMENT FORMULATION-BASED CURVED TRIANGULAR SHELL ELEMENTS ""; ""4. SHELL ELEMENTS BASED ON DISCRETE KIRCHHOFF THEORY ""; ""5. MIXED/HYBRID AND ASSUMED NATURAL STRAIN FORMULATION-BASED ELEMENTS""

""5.1. First Phase Developments """"5.2. Second Phase Developments ""; ""5.2.1. Elements with Non-Optimal Properties ""; ""5.2.2. Elements with Optimal Properties ""; ""5.2.3. Mixed Formulation and Derivation of Optimal Shell Elements ""; ""5.2.3.1. Hellinger-Reissner Variational Principle ""; ""5.2.3.2. Discretized Functional and Equilibrium Equation ""; ""5.2.3.3 Element Geometry ""; ""5.2.3.4 Displacement and Strain Interpolations""; ""5.2.3.5. Hybrid Strain Based Element Stiffness Matrices ""; ""5.2.3.6. Element Stiffness Matrices Incoporating Ddof ""

""5.2.4. Representative Computed Results """"5.2.4.1 Spherical Ring Loaded with its Own Weight ""; ""5.2.4.2 Pinched Cylinder ""; ""5.2.4.3 Hemispherical Shell""; ""6. SPLINE FUNCTION-BASED FLAT TRIANGULAR SHELL ELEMENTS ""; ""7. CONCLUDING REMARKS ""; ""APPENDIX A. DISPLACEMENT AND ROTATION FIELDS ""; ""REFERENCES ""; ""TRANSPORT CONTROL OF FLUID AND SOLUTES IN MICROCHANNELS USING AC FIELD AND SEMICONDUCTOR DIODES ""; ""ABSTRACT""; ""INTRODUCTION ""; ""GOVERNING EQUATIONS FOR FLUID AND ANALYTE FLOW IN MICROCHANNELS ""

""SEMICONDUCTOR DIODE PUMPS AND MIXERS POWERED BY ALTERNATE CURRENT ELECTRIC FIELD """"CONCLUSIONS ""; ""REFERENCES""; ""CONTINUUM DESCRIPTION OF FLOW-LIKE LANDSLIDE DYNAMICS ""; ""ABSTRACT ""; ""INTRODUCTION ""; ""CHARACTERISTICS OF FLOW-LIKE LANDSLIDES ""; ""OBJECTIVES FOR CONTINUUM MODEL DEVELOPMENT ""; ""CONTINUUM MECHANICS FORMULATION ""; ""BOUNDARY CONDITIONS ""; ""DEPTH INTEGRATION""; ""FURTHER APPROXIMATIONS""; ""DISCRETIZATION ""; ""RASH3D DESCRIPTION ""; ""NUMERICAL IMPLEMENTATION ""; ""Finite Volume Method ""; ""Kinetic Scheme ""; ""Source Term: Bottom Slope ""

""Source Term: Friction Slope ""

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-61122-883-2

OCLC:

923654749