Body Tensor Fields in Continuum Mechanics. With Applications to Polymer Rheology

Content: 
Front Matter, Page iii
Copyright, Page iv
PREFACE, Pages ix-xii
ACKNOWLEDGMENTS, Page xiii
LIST OF NOTATION, Pages xv-xvi
1 - SOME MATHEMATICAL PREREQUISITES, Pages 1-15
2 - THE BODY METRIC TENSOR FIELD, Pages 16-56
3 - THE KINEMATICS OF SHEAR FLOW AND SHEAR-FREE FLOW, Pages 57-83
4 - CARTESIAN VECTOR AND TENSOR FIELDS, Pages 84-94
5 - RELATIVE TENSORS, FIELD TRANSFER, AND THE BODY STRESS TENSOR FIELD, Pages 95-137
6 - CONSTITUTIVE EQUATIONS FOR VISCOELASTIC MATERIALS, Pages 138-161
7 - REDUCED CONSTITUTIVE EQUATIONS FOR SHEAR FLOW AND SHEAR-FREE FLOW, Pages 162-176
8 - COVARIANT DIFFERENTIATION AND THE STRESS EQUATIONS OF MOTION, Pages 177-207
9 - STRESS MEASUREMENTS IN UNIDIRECTIONAL SHEAR FLOW; THEORY, Pages 208-222
10 - CONSTITUTIVE PREDICTIONS AND EXPERIMENTAL DATA, Pages 223-243
11 - RELATIONS BETWEEN BODY- AND SPACE-TENSOR FORMALISMS, Pages 244-256
APPENDIX A - EQUATIONS IN CYLINDRICAL POLAR COORDINATES, Pages 257-258
APPENDIX B - EQUATIONS IN SPHERICAL POLAR COORDINATE SYSTEMS, Pages 259-260
APPENDIX C - EQUATIONS IN ORTHOGONAL COORDINATE SYSTEMS, Pages 261-262
APPENDIX D - SUMMARY OF DEFINITIONS FOR UNIDIRECTIONAL SHEAR FLOW, Pages 263-265
APPENDIX E - SUMMARY OF  OPERATIONS FOR COVARIANT STRAIN TENSORS, Pages 266-267
APPENDIX F - CALCULATIONS FOR VISCOELASTIC LIQUIDS, Pages 268-269
REFERENCES, Pages 270-278
SOLUTIONS TO PROBLEMS, Pages 279-306
AUTHOR INDEX, Pages 307-311
SUBJECT INDEX, Pages 312-319