The Behavior of Structures Composed of Composite Materials

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The Behavior of
* A( O/ m6 k' J1 |0 AStructures Composed of
! t- m' S* M; \7 E1 F; B$ KComposite Materials
( x7 R9 B3 W! cSecond Edition
by
! v* T5 G- _; EJACK R. VINSON
6 p6 j7 _( I$ i+ O. P$ _* {* i. KH. Fletcher Brown Porfessor of Mechanical & Aerospace Engineering,
The Center for Composite Materials and The College of Marine Studies,
0 a4 G* j1 W/ R3 p4 Y& @Department of Mechanical Engineering,
+ p: ~1 n! p( j) m7 Z9 ~8 |University of Delaware,
Newark, Delaware, U.S.A.
and
ROBERT L. SIERAKOWSKI
Chief Scientist,
6 s) u) B" k; {- i8 H8 s/ EAFRL/MN Eglin AFB,
0 _# ?$ v# t4 p% k! X( c/ OFlorida, U.S.A.
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/ z2 [" x, X. g% Q
& d+ D$ \+ E( z! FContents

2 J$ y3 [( ~" k1. Introduction to Composite Materials 1

: M1 J) H* A9 q7 ~& MGeneral History
4 u* y1 V* y! y; c; z2 gComposite Material Description
Types of Composite Materials
  B9 a5 e5 o9 _& I" h( a& U' lConstituent Properties
Composite Manufacturing, Fabrication and Processing
Uses of Composite Materials
- F3 X( O3 u3 a1 ?7 ]# g! s# CDesign and Analyses with Composite Materials
References
Journals
Problems
+ w6 ]8 G% i3 o4 b& A
3 {" c; S/ x. Z6 f7 Q( h2. Anisotropic Elasticity and Composite Laminate Theory

3 q5 H1 K6 ]5 A: b4 p( FIntroduction
Derivation of the Anisotropic Elastic Stiffness and Compliance Matrices
The Physical Meaning of the Components of the Orthotropic Elasticity
! T/ |: `8 q7 m9 t- ^" ITensor
; O- E. L/ ?9 s- s8 f7 c: A. yMethods to Obtain Composite Elastic Properties from Fiber and Matrix
Properties
: i$ g) z* m# Y" f4 L5 ~+ c6 TThermal and Hygrothermal Considerations
# X$ K$ S+ A. Q2 J! D6 U. r# y  F2 MTime-Temperature Effects on Composite Materials
High Strain Rate Effects on Material Properties
Laminae of Composite Materials
8 K- V. \8 M0 T: s5 j" CLaminate Analyses
Piezoelectric Effects
3 q& C# P+ U$ yReferences
0 O; @( R* W9 s1 S2 iProblems

3 Q4 D% L. w9 d3 g) g3. Plates and Panels of Composite Materials

Introduction
$ F" z% I& t4 F5 T" VPlate Equilibrium Equations
The Bending of Composite Material Laminated Plates: Classical Theory
8 H) n. M" T" A0 r8 j% WClassical Plate Theory Boundary Conditions
! V7 |1 N+ B6 ^  ANavier Solutions for Rectangular Composite Material Plates
Navier Solution for a Uniformly Loaded Simply Supported Plate – An
) V2 t/ q7 \$ M( c4 qExample Problem
3 d! P+ I* }8 G( C0 t& wLevy Solution for Plates of Composite Materials

Perturbation Solutions for the Bending of a Composite Material Plate With
3 s0 }5 c0 e5 bMid-Plane Symmetry and No Bending-Twisting Coupling
Quasi-Isotropic Composite Panels Subjected to a Uniform Lateral Load
& j0 H( w7 Q( ^$ I8 a. w  |" Z, hA Static Analysis of Composite Material Panels Including Transverse
3 b1 m# [- }/ }8 H1 U- AShear Deformation Effects
Boundary Conditions for a Plate Using the Refined Plate Theory Which
; [  @& q/ m. F( ]Includes Transverse Shear Deformation
. z, q8 g$ O: H: @, i  p/ UComposite Plates on an Elastic Foundation
+ T4 ^( A' J* |6 {: ]Solutions for Plates of Composite Materials Including Transverse-Shear
Deformation Effects, Simply Supported on All Four Edges
Dynamic Effects on Panels of Composite Materials
' {! @- g& m2 \$ N' R7 ]& v) C1 oNatural Flexural Vibrations of Rectangular Plates: Classical Theory
Natural Flexural Vibrations of Composite Material Plate Including
Transverse-Shear Deformation Effects
& c. }) S* \! G' O8 l; r, V% mForced-Vibration Response of a Composite Material Plate Subjected to a
4 X9 y4 t' J# \0 w& H! S- TDynamic Lateral Load
Buckling of a Rectangular Composite Material Plate – Classical Theory
2 L2 s. H9 _$ T. ]& fBuckling of a Composite Material Plate Including Transverse-Shear
. n0 g( v+ M& ^- G- _' TDeformation Effects
- ?5 }( g' E% ySome Remarks on Composite Structures
9 M! Y/ V! e& SMethods of Analysis for Sandwich Panels With Composite Material
Faces, and Their Structural Optimization
Governing Equations for a Composite Material Plate With Mid-Plane
6 Y; Q/ A. ?7 f: N, u6 q% gAsymmetry
1 I) j/ \* a, p+ W) J% }% @: WGoverning Equations for a Composite Material Plate With Bending-
Twisting Coupling
Concluding Remarks
5 s% I: [2 S9 R3 i; m5 U" G) l& y) q% hReferences
6 Z1 y: a/ A+ W4 O6 P/ f2 EProblems and Exercises
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4. Beams, Columns and Rods of Composite Materials

Development of Classical Beam Theory
+ G9 z% Y( D; }* K' V' a! ]Some Composite Beam Solutions
Composite Beams With Abrupt Changes in Geometry or Load
Solutions by Green’s Functions
Composite Beams of Continuously Varying Cross-Section
: d8 B9 G$ |8 C  ~Rods
Vibration of Composite Beams
Beams With Mid-Plane Asymmetry
$ K! U) |7 X' S3 T- @Advanced Beam Theory for Dynamic Loading Including Mid-Plane
$ `+ o2 z% a9 q3 ?. BAsymmetry
1 D% }7 f  {7 L( R: X, wAdvanced Beam Theory Including Transverse Shear Deformation Effects
Buckling of Composite Columns
References
Problems


6 k6 q" v* S& ~  M  q" S5 n- ^5. Composite Material Shells

Introduction
Analysis of Composite Material Circular Cylindrical Shells
Some Edge Load and Particular Solutions
0 s9 \- [# d2 N8 j, R+ H0 E( hA General Solution for Composite Cylindrical Shells Under Axially
Symmetric Loads
Response of a Long Axi-Symmetric Laminated Composite Shell to an
, q/ @" i* }  @$ S5 R5 kEdge Displacement
Sample Solutions
Mid-Plane Asymmetric Circular Cylindrical Shells
Buckling of Circular Cylindrical Shells of Composite Materials Subjected
to Various Loads
0 a2 i# L3 b# F3 lVibrations of Composite Shells
Additional Reading On Composite Shells
$ ?, e. ~# I* B$ P- e4 `0 hReferences
$ F8 L0 X9 N' Y# A+ RProblems
2 i1 |3 r* p$ U( i
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6. Energy Methods For Composite Material Structures
! t9 q9 {' _+ u6 [
* v2 p& A( T, _% ~) DIntroduction
Theorem of Minimum Potential Energy
Analysis of a Beam Using the Theorem of Minimum Potential Energy
Use of Minimum Potential Energy for Designing a Composite Electrical
Transmission Tower
Minimum Potential Energy for Rectangular Plates
A Rectangular Composite Material Plate Subjected to Lateral and
& {# O) |0 @6 e  k6 xHygrothermal Loads
In-Plane Shear Strength Determination of Composite Materials in
2 U" O) ~: x" e4 h# R4 k) I4 C3 ULaminated Composite Panels
Use of the Theorem of Minimum Potential Energy to Determine Buckling
" V! G0 F5 `) Y% KLoads in Composite Plates
Trial Functions for Various Boundary Conditions for Composite Material
. ]& G2 O+ [# S# H, y; vRectangular Plates
7 h" H3 H1 r+ Q! a7 V; S$ Y9 v% HReissner’s Variational Theorem and its Applications
; p( Q, m+ y: V& CStatic Deformation of Moderately Thick Beams
! ~; [; X# m' E; |0 g: W! T1 YFlexural Vibrations of Moderately Thick Beams
# |6 n0 T( n& Y* J/ p! h4 Q! EFlexural Natural Frequencies of a Simply Supported Beam Including
( q( w+ b4 N* @' x. oTransverse Shear Deformation and Rotatory Inertia Effects
References
Problems
4 T. S9 ]1 [, n' s( n# {
8 z5 ^. _0 k1 {; {* p7. Strength and Failure Theories

Introduction
5 y- p% b, I" ?' RFailure of Monolithic Isotropic Materials
9 f! s: h& `/ M5 f4 gAnisotropic Strength and Failure Theories
Maximum Stress Theory
Maximum Strain Theory
Interactive Failure Theories
! e. `2 g$ _6 `# K6 @Lamina Strength Theories
Laminate Strength Analysis
References
+ ~7 m" G% u' d4 G5 ?; W  fProblems
6 j$ q; R0 R- [. ^; k/ |
# w+ s; t/ {- P( V& ~8 @) H; s4 l
8. Joining of Composite Material Structures

0 T# B# l/ u. E! S6 A8 D$ q: YGeneral Remarks
Adhesive Bonding
Mechanical Fastening
Recommended Reading
3 R0 J" \, W, ^) S* }1 i$ DReferences
Problems

8 n) m. H, l1 H3 x9 X
6 a: z+ C4 c% y( B0 y4 x/ u, y9. Introduction to Composite Design
1 N5 S0 U, C& M  e
Introduction
Structural Composite Design Procedures
Engineering Analysis
7 h& g, n( c2 w7 o4 aAppendices

8 o, o/ W3 ?& L! E8 S
! J: F5 |$ o; b' N. l. WMicromechanics
Test Standards for Polymer Matrix Composites
/ G- y0 K" w! {# a2 m; `Properties of Various Polymer Composites
: _) k& f8 d$ g" N) P7 XAuthor Index
* L2 P- o  l- HSubject Index
! V6 U9 u/ Z% ~5 w
1 A- }; U' d  {7 H. y& {4 }[ 本帖最后由 jove20020 于 2008-2-22 23:41 编辑 ]