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The Behavior of
7 {) U/ X0 _4 Q: Q! TStructures Composed of: |8 t, m, b4 _8 [* J2 d
Composite Materials
+ S" r' Y8 h: o; P' VSecond Edition4 h( c8 R% v8 n e9 D) }0 O
by
. B' C# n4 _5 v8 |JACK R. VINSON
" b. r& X0 K/ BH. Fletcher Brown Porfessor of Mechanical & Aerospace Engineering,0 t& b& `) [: O: f9 n5 }
The Center for Composite Materials and The College of Marine Studies," H! x! B# n4 ^; S, b
Department of Mechanical Engineering,
6 k" v6 Q7 O0 v0 a$ H$ o3 j8 A! dUniversity of Delaware,
1 |/ n: }/ v H! R( _ tNewark, Delaware, U.S.A.
T/ }! `, }1 d/ d- F: D4 m2 W9 Band
0 F+ S4 O9 o8 ]% X1 P0 QROBERT L. SIERAKOWSKI" ~' {1 `8 V7 O9 J
Chief Scientist,
( F# v% G( @7 N! w0 F: v6 ], a' oAFRL/MN Eglin AFB,
& X- S8 c% |2 A- ]4 AFlorida, U.S.A.
/ \1 d& u; `; U
) H0 a$ k3 ^, C+ d& P$ A4 c+ G/ H: T. v
, B6 x w* L9 k! v$ u3 N7 e
Contents
3 r1 I, a' D. E" j* q V" Y
2 @8 X- l8 G. l7 r0 t1. Introduction to Composite Materials 1
1 H4 z x1 }5 g1 M' B. E- w, X
; Z* ~: O1 S$ u; i1 Y, ^4 SGeneral History
! ~" o9 v, p7 W; M* O8 wComposite Material Description! l" k" q1 h/ `* |8 S% O F
Types of Composite Materials; |( q) z+ A) ]% G& O) _. T' V
Constituent Properties) _! q a5 q: U
Composite Manufacturing, Fabrication and Processing) I& s2 q; F& Y0 K+ B
Uses of Composite Materials
+ B s$ g) y! ~( b. @. Q3 h' }Design and Analyses with Composite Materials& Z2 i( t& l* }/ Z$ E
References
! P/ K8 o' u) l+ }) `Journals2 _1 u2 P! K! X; T4 k+ G9 P
Problems, T+ w: ]) \9 b2 ]
% _0 M8 ?) q) A, p! V5 Z
2. Anisotropic Elasticity and Composite Laminate Theory
, }& @8 Z. _, z3 j
3 O) V# R$ ?2 e4 b2 rIntroduction
+ X# }9 l, J& j& A# C! E" q) hDerivation of the Anisotropic Elastic Stiffness and Compliance Matrices2 O: \2 h1 Z) q9 Q6 m3 Z3 F% b
The Physical Meaning of the Components of the Orthotropic Elasticity
# N, U5 v$ U, {7 gTensor: _4 n1 o+ W% {, V
Methods to Obtain Composite Elastic Properties from Fiber and Matrix z7 _3 n5 i4 }! ^- w+ f$ i
Properties+ |7 J9 y) ]/ U- s6 H
Thermal and Hygrothermal Considerations; s" A0 b1 q( p" G+ G; {8 E
Time-Temperature Effects on Composite Materials3 a* F9 }$ `2 ^5 V
High Strain Rate Effects on Material Properties
$ `% i& H1 I$ \) A) ULaminae of Composite Materials
" o g8 t: S# |$ P+ q9 N, MLaminate Analyses
, n9 `' W* E0 j3 [2 I& ?Piezoelectric Effects
+ Y$ ^( d! i; w' g$ l: ?References
) C' M! c8 R- _( x5 D. e6 G/ QProblems
3 {$ {) {1 k8 ?4 Y8 o2 q0 Z' r' Q4 x6 O9 a6 F
3. Plates and Panels of Composite Materials4 Z3 n+ z5 @9 I4 y
9 f) i2 n8 N1 a, a. bIntroduction
]5 F' D! [; _- ^, @; g2 Q4 q" ]Plate Equilibrium Equations
- ?% ?0 I% d* G: d8 O: AThe Bending of Composite Material Laminated Plates: Classical Theory
" s7 D; w4 F/ D% v5 v- n# MClassical Plate Theory Boundary Conditions
( q8 k0 Z+ g+ `" I! {Navier Solutions for Rectangular Composite Material Plates
, { ]- `& |+ J( `) jNavier Solution for a Uniformly Loaded Simply Supported Plate – An: C; m/ R' D1 ^7 D( o; @
Example Problem S" c2 Y5 }1 G* M
Levy Solution for Plates of Composite Materials& t9 ^9 S* W, L9 J
) q6 O D6 R# v; d
Perturbation Solutions for the Bending of a Composite Material Plate With
( C5 L* V: G* J: T$ O/ U' wMid-Plane Symmetry and No Bending-Twisting Coupling# j1 k- b1 n4 X9 _4 |6 n
Quasi-Isotropic Composite Panels Subjected to a Uniform Lateral Load8 \% D7 g0 L# I- K! ~
A Static Analysis of Composite Material Panels Including Transverse
3 }; `0 q6 u0 o/ g4 W; _$ EShear Deformation Effects% K+ K) B5 U( a& J6 i! Q
Boundary Conditions for a Plate Using the Refined Plate Theory Which4 o6 h; J# V- X+ a$ o# o/ @
Includes Transverse Shear Deformation t6 [( f( a4 G, B4 ]) X
Composite Plates on an Elastic Foundation
" ^5 D& r% n" D9 y1 r& c) BSolutions for Plates of Composite Materials Including Transverse-Shear. @2 _; L. a9 ?$ |* K% M/ o
Deformation Effects, Simply Supported on All Four Edges
2 F; y- u) e1 w5 U; |, dDynamic Effects on Panels of Composite Materials
& [& c# x5 _# W9 UNatural Flexural Vibrations of Rectangular Plates: Classical Theory
5 \ i% W' c5 A, [8 z! G: g9 WNatural Flexural Vibrations of Composite Material Plate Including* p! g( i+ h9 O6 m6 X
Transverse-Shear Deformation Effects2 y6 U$ S+ o$ o" e
Forced-Vibration Response of a Composite Material Plate Subjected to a
! q( | U4 V# P9 ], [Dynamic Lateral Load- O5 A1 \* d& T
Buckling of a Rectangular Composite Material Plate – Classical Theory
# P; [* i, V; |2 UBuckling of a Composite Material Plate Including Transverse-Shear
& i! V7 |! b+ SDeformation Effects
* p* _$ I( V+ f( ~: K1 SSome Remarks on Composite Structures
! y2 s/ V; c" l9 _7 AMethods of Analysis for Sandwich Panels With Composite Material
( m# G+ D2 y: c* O$ p1 [' C7 V5 d' MFaces, and Their Structural Optimization
! x6 D: y( s% j3 E2 ~Governing Equations for a Composite Material Plate With Mid-Plane
' p& G5 x' p0 x3 |3 _$ r) vAsymmetry
1 `" @8 x9 D* ?# O7 cGoverning Equations for a Composite Material Plate With Bending-
! t% F' H% V$ }: c1 hTwisting Coupling( X2 S- J1 d6 `+ k+ O
Concluding Remarks
# Q0 O4 E8 K# C/ nReferences2 J6 H2 ?6 p) G% z# Y' ~
Problems and Exercises
; z# X" m+ p9 x1 m7 h- R6 X
. B# [! ^, x6 K0 z' S
0 i) u& x0 T( u5 `6 X! v* `3 Z4. Beams, Columns and Rods of Composite Materials
5 Q2 G8 Q t; H& N8 n7 \6 Q& g/ p4 C' N5 g2 k( [
Development of Classical Beam Theory
( y; g4 z/ B @) W6 s" G7 mSome Composite Beam Solutions
, G$ G/ h! O' {' R6 \Composite Beams With Abrupt Changes in Geometry or Load
+ V8 o- s' [2 Z7 ~Solutions by Green’s Functions
( D3 I! N1 R5 m# e# X+ iComposite Beams of Continuously Varying Cross-Section
8 u- _- N1 d3 A8 i- G! O2 \Rods& s" {5 m, g0 `: U$ j; D3 h) g i
Vibration of Composite Beams5 v1 t+ t6 u7 J' Z3 [& x
Beams With Mid-Plane Asymmetry
% J# c [' ^( {& G& b; V' n# _- [+ QAdvanced Beam Theory for Dynamic Loading Including Mid-Plane* I( q# \! g) a/ Y( x
Asymmetry
( {3 Z7 h4 n) r0 N6 NAdvanced Beam Theory Including Transverse Shear Deformation Effects3 q9 c0 N8 M# f/ |
Buckling of Composite Columns
7 t" v' @/ t5 v) E" x* t0 UReferences
: N6 E% D/ N# M: z- ?, YProblems0 D; K" \3 ~7 d( [7 \& T) ?
/ j+ }5 e! D- g: U6 F7 \
. s0 b( W6 L8 z4 n& r4 I6 |
5. Composite Material Shells; A& l9 h# D7 V/ T5 ~. r# o
( E3 R }- L( Q# u' @& @Introduction& F9 t' E3 }9 E' I) c
Analysis of Composite Material Circular Cylindrical Shells2 O I3 [: x* l# B; p( W
Some Edge Load and Particular Solutions J, Y* f3 z4 J8 v' l" V
A General Solution for Composite Cylindrical Shells Under Axially
2 v$ a: K: R+ H7 z- D) rSymmetric Loads
. n: ?4 _1 z5 {8 O# X8 WResponse of a Long Axi-Symmetric Laminated Composite Shell to an
7 V6 Z. Z9 t; _- n3 m5 ?Edge Displacement7 Y, h" z- P U; s- e7 m. O H% Q
Sample Solutions3 ]) Q* I+ w! ]5 U; l4 Q
Mid-Plane Asymmetric Circular Cylindrical Shells7 v7 z3 t7 V8 ~# D$ r
Buckling of Circular Cylindrical Shells of Composite Materials Subjected7 a0 q$ m" |7 t2 S7 b. w
to Various Loads0 ]0 D9 V5 N$ c) l5 S$ Y
Vibrations of Composite Shells
7 H, s. g& u' ]7 B; AAdditional Reading On Composite Shells
9 c' i1 O3 o9 D) S- NReferences
, d7 H: l& m4 e5 {. J# pProblems: h3 z I1 B8 S( N$ L; }
' n* e& b. Q) @ ^
" ~( A& Y' P& l2 H
6. Energy Methods For Composite Material Structures
/ ], L* x; S. f @. A6 y
- I# @- r8 H3 q0 K7 X, sIntroduction- [( D. A8 }7 c$ ]2 a
Theorem of Minimum Potential Energy$ s0 r, y' d1 m& I, y! X
Analysis of a Beam Using the Theorem of Minimum Potential Energy1 g1 L2 o& T, `. X8 p
Use of Minimum Potential Energy for Designing a Composite Electrical
6 ^' C$ v# M; m6 vTransmission Tower
# S) r- N6 m+ y% J- [ GMinimum Potential Energy for Rectangular Plates
& B! p6 |% |) S" D/ l/ K. y5 fA Rectangular Composite Material Plate Subjected to Lateral and
5 I) Z( |6 Z* ]+ YHygrothermal Loads
- B2 [5 L, w# P, X5 M( z4 zIn-Plane Shear Strength Determination of Composite Materials in2 F6 F# E. e8 Z a
Laminated Composite Panels7 c6 g# ?( V7 ]: o9 y8 H
Use of the Theorem of Minimum Potential Energy to Determine Buckling# J/ T) a' l# E! z; m5 E6 ~. B
Loads in Composite Plates
: K' O; u: |2 C f2 X- STrial Functions for Various Boundary Conditions for Composite Material: B' ]; H( \* r) o% W
Rectangular Plates. P. I1 V2 g: R6 k2 P
Reissner’s Variational Theorem and its Applications! R. j. t( i9 g* w. s' b
Static Deformation of Moderately Thick Beams5 r1 |! B; n# E3 F
Flexural Vibrations of Moderately Thick Beams
$ Y |! y3 k1 E7 [8 u0 CFlexural Natural Frequencies of a Simply Supported Beam Including' G; E$ ]& R; G1 p) J8 d4 s# x
Transverse Shear Deformation and Rotatory Inertia Effects
* Y* R% Q" ?) t6 Y: AReferences
, r5 |. E6 g3 ?6 G) a+ S' G0 SProblems: ~3 D- y: f& m) M$ i3 l' ^/ z+ d
# _" E, X0 N A( Y# P* i0 }) }! f3 ]0 w
7. Strength and Failure Theories
. X5 c! r1 r5 Y2 F
* x* h& s6 {9 F; h. J; n) mIntroduction9 ^. _! T$ p# ~
Failure of Monolithic Isotropic Materials5 U [, o! ` ~9 N
Anisotropic Strength and Failure Theories6 q6 Y( m& \2 h; a) a, P: S
Maximum Stress Theory
9 c6 [; U ?8 B+ I) x! WMaximum Strain Theory& }% O% l! q9 K! D/ o
Interactive Failure Theories) d: c' [% e! J3 j" k
Lamina Strength Theories } C2 C0 `+ C: V/ g! d
Laminate Strength Analysis
, Z1 g4 s5 w4 N+ a' d+ D. nReferences
& k% ^; j- s1 _+ a3 fProblems
' z2 P* R% g& W2 T) ]& k! O v% ?; j d8 q! p# M1 x, \3 B
. ]5 B. J7 A0 }; Y5 `
8. Joining of Composite Material Structures h: f R2 I1 i0 p7 V) X
* y g6 `* P. U: ?
General Remarks
! G; I" U6 p- Z# rAdhesive Bonding; z1 H6 V) p9 \' g
Mechanical Fastening
Y5 b" h6 _& {+ P* z) kRecommended Reading
! I) Z4 G G: g! t' JReferences
; D" k# W4 {: v. eProblems
' J+ V& |& b$ R" `: P$ D7 q7 v2 T. [1 O( K: w8 ]/ p
7 B5 f, R! k0 M9. Introduction to Composite Design/ }3 ]# ?6 M. j( D
9 t$ X+ @) m3 D1 l1 iIntroduction0 S, _0 f; W3 t2 `$ v$ ?
Structural Composite Design Procedures
# m6 @' t: G4 \! b9 A/ A" f2 rEngineering Analysis+ u4 P' T% f, W
Appendices
( h7 l- ] p4 P- ~! {: K y) @! j. X; w
9 \+ R! }- j7 j2 u& jMicromechanics
) a& P0 `% Z4 [( r, `& b: H9 ITest Standards for Polymer Matrix Composites0 D' x4 Y# A4 W0 }
Properties of Various Polymer Composites
/ v/ S( T# I) F( l) v3 xAuthor Index
- C1 ]2 F+ F+ Q) QSubject Index
, D' d& P3 S* q8 o# P' }) j* d& u# n' Z9 N# M; j. A
[ 本帖最后由 jove20020 于 2008-2-22 23:41 编辑 ] |
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