Laminar Composites

by Staab

• ISBN13: 9780750671248
• ISBN10: 0750671246
• Format: Hardcover
• Copyright: 1999-06-02
• Publisher: Elsevier Science

Summary

This text provides students with the theoretical knowledge and practical skills necessary to identify, model, and solve structural analysis problems. The material is illustrated throughout with numerous diagrammatic examples, as well as example problems similar in nature to those found in lower level strength of materials texts. The difficulty of these and the homework problems varies from simple to complex. A solutions manual is provided for lecturers who adopt the book for classroom teaching. this book mirrors the teaching method used in strength of materials courses taught in the first years of an undergraduate degree and relate this higher level treatment back to that. The author is involved in the development of the latest teaching methods (with McGraw Hill), and his style is straightforward. There is web-mounted software to back up the book's content, plus a solutions manual for instructors. There are approximately 20-30 homework problems per chapter, making a substantial body of material for teaching use.

Author Biography

George H. Staab received B.S., M.S., and Ph.D. degrees from Purdue University. After receiving his M.S., he worked as a rotor head and blade analyst for three years at Sikorsky Aircraft. After completing his doctorate, he joined the Department of Engineering Mechanics at The Ohio State University. He was the recipient of the Charles E. MacQuigg Student Award for Outstanding Teaching in 1998.

Table of Contents

Preface	xi
Introduction to Composite Materials	1	(16)
Historic and Introductory Comments	1	(2)
Characteristics of a Composite Material	3	(1)
Composite Materials Classifications	4	(2)
Fundamental Composite Material Terminology	6	(3)
Advantages Afforded by Composite Materials	9	(1)
Selected Manufacturing Techniques for Composites	10	(5)
References	15	(2)
A Review of Stress, Strain, and Material Behavior	17	(20)
Introduction	17	(1)
Strain-Displacement Relations	17	(6)
Strain Transformations	22	(1)
Stress and Stress Transformations	23	(2)
Stress-Strain Relationships	25	(4)
Monoclinic Materials	26	(1)
Orthotropic Materials	27	(1)
Transversely Isotropic Materials	28	(1)
Isotropic Materials	28	(1)
Summary of Material Responses	28	(1)
Strain--Stress Relationships	29	(1)
Thermal and Hygral Effects	30	(1)
Complete Anisotropic Response	31	(2)
References	33	(1)
Problems	34	(3)
Lamina Analysis	37	(65)
Introduction	37	(1)
Mechanical Response of Lamina	37	(20)
Stiffness Matrix	40	(2)
Transformation of Stresses	42	(2)
Plane Stress Analysis	44	(13)
Thermal and Hygral Behavior of Lamina	57	(12)
Thermal Stress-Strain Relationships	58	(2)
Hygral Effects	60	(9)
Prediction of Lamina Properties (Micromechanics)	69	(26)
Mechanical Properties of Lamina	71	(20)
Physical Properties and Strength Estimates	91	(4)
References	95	(2)
Problems	97	(5)
Mechanical Test Methods for Lamina	102	(40)
Introduction	102	(1)
Strain Gages Applied to Composites	102	(12)
General Interpretation of Strain Gage Data	103	(4)
Strain Gage Misalignment	107	(1)
Strain Gage Reinforcing Effects	108	(6)
Experimental Determination of Mechanical Properties	114	(15)
Tensile Testing	114	(2)
Compression Testing	116	(4)
Shear Tests	120	(7)
Flexure Tests	127	(2)
Failure Strengths	129	(1)
Physical Properties	129	(2)
Density	129	(1)
Fiber Volume Fraction	130	(1)
Thermal Expansion and Moisture Swelling Coefficients	130	(1)
Material Properties of Selected Composites	131	(5)
Testing Lamina Constituents	136	(1)
References	136	(3)
Problems	139	(3)
Lamina Failure Theories	142	(49)
Introduction	142	(2)
Maximum Stress Theory	144	(1)
Maximum Strain Theory	145	(5)
The Significance of Shear Stress	150	(2)
Interactive Failure Theories	152	(14)
Tsar-Hill (Maximum Work) Theory	155	(4)
Tsai-Wu Tensor Theory	159	(7)
Buckling	166	(7)
Design Examples Incorporating Failure Analysis	173	(11)
References	184	(2)
Problems	186	(5)
Laminate Analysis	191	(92)
Introduction	191	(1)
Classical Lamination Theory	191	(10)
Strain-Displacement Relations	191	(3)
Stress-Strain Relationships	194	(1)
Laminate Load-Strain and Moment-Curvature Relations	195	(6)
Thermal and Hygral Effects	201	(4)
Thermal Effects	201	(2)
Hygral Effects	203	(1)
Combined Effects	204	(1)
Laminate Codes	205	(4)
Single-Layered Laminates	205	(1)
Symmetric Laminates	205	(1)
Antisymmetric Laminates	205	(1)
Cross-Ply Laminates	206	(1)
Angle-Ply Laminates	206	(1)
Quasi-Isotropic Laminates	207	(2)
General Laminates	209	(1)
Laminate Analysis	209	(28)
Analysis of Symmetric Laminates	211	(14)
Antisymmetric Laminates	225	(8)
Nonsymmetric Laminates	233	(4)
Laminate Failure Analysis	237	(14)
Cross-Ply Laminate	237	(8)
Angle-Ply Laminate	245	(3)
Moisture Effects	248	(3)
In-Plane Laminate Strength Analysis	251	(4)
Invariant Forms of [A], [B], [D]	255	(6)
Analysis of Hybrid Laminates	261	(5)
Short Fiber Composites	266	(8)
Stress Transfer and Modulus Predictions	267	(4)
Laminate Approximation	271	(1)
Laminate Analogy	272	(2)
References	274	(3)
Problems	277	(6)
Appendix A Fundamentals of Matrices	283	(6)
A.1 Introduction	283	(1)
A.2 Definitions and Notation for Matrices	283	(1)
A.3 Matrix Arithmetic	284	(2)
A.4 Matrix Inversion	286	(3)
Appendix B Generalized Transformations	289	(3)
Appendix C Summary of Useful Equations	292	(5)
C.1 Lamina	292	(3)
C.2 Failure Theories	295	(1)
C.3 Classical Lamination Theory	295	(2)
Glossary	297	(8)
Additional References	305	(6)
Index	311