Theory Of Structure And Mechanics Of Fibrous Assemblies And Yarns

This book discusses a system of theoretically derived inherent laws of fibrous assemblies. It includes original results of theoretical research carried out on fibrous assemblies. The topics of this book include fiber and pore characteristics in fibrous assemblies, fiber packing density and fiber orientation in fibrous assemblies, tensile behavior of fiber bundles and multiaxial systems, fiber-to-fiber contacts and compression behavior of fibrous assemblies. The chapters of this book are started with definitions, terminologies and fundamental relations. Then the theoretical models are presented from initial assumptions through mathematical derivations to final relations. Such theoretical results are mostly compared with experimental results. Content: Front matter, Pages i,iii Copyright, Page iv Preface, Pages v-vii Introduction to fibers and fibrous assemblies, Pages xi-xii 1 - Basic properties of single fibers and fibrous assemblies, Pages 1-28 2 - Pores in fibrous assemblies, Pages 29-45 3 - Arrangement of fibers – fiber orientation, Pages 46-96 4 - Fiber-to-fiber contacts, Pages 97-134 5 - Compression behavior of fibrous assemblies, Pages 135-186 6 - Mechanics of parallel fiber bundles, Pages 187-248 7 - Mechanics of non-parallel fiber bundles, Pages 249-294 Appendix 1 - Evaluation of the integral ∫ 0π/2 cos θ u(θ)dθ for fiber orientation, Pages 295-298 Appendix 2 - Function (ex − 1)n, Pages 299-306 Appendix 3 - Useful terms and quantities in mechanics, Pages 307-309 Appendix 4 - Derivative of deformation energy dE(δ, ξ)/dμ, Pages 310-312 Appendix 5 - Angular utilization coefficient of special alternative to simple planar bundle, Pages 313-320 Index, Pages 321-324 Reports a system of theoretically derived inherent laws of fibrous assemblies. The book includes original results of theoretical research. The chapters start with definitions, terminologies and fundamental relations. Theoretical models are then presented from initial assumptions through mathematical derivations to final relations.