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 读书世界首页 > 数理科学和化学 > 力学
结构塑性力学
作  者:俞茂宏,马国伟,李建春著
出 版 社: 出版年份:2009 年
ISBN:9787308061681 页数:404 页
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图书封面及目录
封面|1
目录|12
1 Introduction|201.1 Background|20
1.2 Unification of YioKl and S'mig,li Criteria|22
1.3 Plastic Limit Analysis|23
1.4 Plastic Limit Analysis of Rotating Solids|25
1.5 Shakedown Analysis of Structures|26
1.6 Plastic Limit Analysis Based on the Unified Strength Theory|27
1.7 Sum manr|28
References|28
2 Fundamental Concepts of Stress and Strain|352.1 Stress Components and Invariants|35
2.2 Dcviatoric Stress Tensor and the Tensor Invariants|37
2.3 Principal Shear Stresses|38
2.4 Octahedral Shear Stress|40
2.5 Strain Components|41
2.6 Equations of Ffinililirinm|43
2.7 Generalized Hookc's I.Jtw|43
2.8 Compiitibility Equations|44
2.9 Governing Equations for PLauwe Stress Problems|45
2.10 GovtTning Etiuntions in Polm Coonlinalos|46
2.11 Bomliiig of Circular Plate|48
2.12 Summary|50
References|50
3 Yield Condition|513.1 Introduction|51
3.2 Conventional Yield Criteria|523.2.1 Maxiuuun Nornml Strrsis Critrrion|52
3.2.2 Nhmiimiu HUv.xt Sticss-bascd Criteria―Siuglc-slu-iir Theory|52
3.2.3 octabedral Shear Stress-based Criteria-Three-shear Theory|55
3.2.4 Twin-sbear Stress-based Criterion Twiushoar Theory|59
3.3 Unified Yieid Critrrion for Metallic Materials(Non-SDMatrrials)|63
3.4 Unified Strength Theory for SD Materials|643.4.1 Mechanicai modei of the unificd Sirrnj;th Theory|65
3.4.2 Mathunuatical Modelling of the UniHctl Stronglh Tlu-on|66
3.4.3 Mathunuatical Expression of the Stmigth Theory|67
3.4.4 Yield Surfaces and Yield Loci of the Unified Strength Theory|67
3.5 Significance of the Unified Strength Theory|68
3.6 Unified Strength Theory in the Plane Stress State|713.6.1 a1≥a2>o,a3=0|72
3.6.2 a1≥o,a2=o,a3<o|72
3.7 Summary|74
3.8 Problems|75
References|80
4 Theorems of Limit Analysis|834.1 Introduction|83
4.2 Perfectly Plastic Solid|85
4.3 Power of Dissipation|85
4.4 Lower-bound Theorem|86
4.5 UpiMT-houiul Thwrem|87
4.6 Fundimicntal IJmit Tlieorems|87
4.7 important remarks|884.7.1 exact Value of tlic Limit Load (compiete Solution)|88
4.7.2 eiastic-piastic and Rlastic bodies|88
4.7.3 load-bearing Capacity|89
4.7.4 Uniqueness|89
References|90
5 Plastic Limit Analysis for Simply Supported Circular Plates|935.1 lul nMlurt ion|93
5.2 Basic equations of Cinular Plate|94
5.3 Uuified Sohilious of Simply Supported Circular Platr forNon-SD Materials "|255.3.1 Uniformly Distribiiied Load|97
5.3.2 Arbitrary Axisynnnetrical Load|99
5.4 Unified Solnlioiis of Simply Supporti'd Circulai' plate for SDMaterials|1145.4.1 Piuiial-miiform Load|116
5.4.2 linearly distributed load|121
5.5 summary|126
5.6 probiems|127
References|129
6 Plastic Limit Analysis of Clamped Circular Plates|1316.1 Introduction|131
6.2 Unified Solutions of Clamped Circular Plate for Non-SD Materials|1316.2.1 Unifonnly Distributed Load|131
6.2.2 Arbitrary Loading Radius|136
0.2.3 Arbitrary Loading Distribution|141
6.3 Unified Solutions of C'lampiHl Circular Plate for SD Materials|146
6.4 Summary|152
6.5 Problems|153
References|153
7 Plastic Limit Analysis of Annular Plate|1557.1 Introduction|155
7.2 Basic Equations for Annular Platr Based on UYC|1567.2.1 Case (1)|159
7.2.2 Case (2)|160
7.2.3 Special Case|161
7.3 Unified Solutions of AiumUr Plate for NonSD Materials|161
7.4 Unified Solutions of Limit I.1647.4.1 Unified StreuRlh Theory|164
7.4.2 Basic Equations for Annular Plate Based on the UST|165
7.4.3 Limit Analysis|166
7.4.4 Results ami Discussior.H|168
7.5 Summary|169
7.6 Problems|171
Reforcnros|171
8 Plastic Limit Analyses of Oblique, Rhombic, and Rectangular Plates|1738.1 Introduction|173
8.2 Equatiatious for Oblique Plates|1758.2.1 The Equilibrium Equation in Ordinary Coordinate System|175
8.2.2 Field of Internal Motion|177
8.2.3 Moment Equation Based on the UST|177
8.3 Unified Solution of Limit Analysis of Simply Supported Oblique Plates|178
8.4 Limit Load of Rhomhir plates|181
8.5 Limit Loail of Rectangular Plates|182
8.6 Unified Limit Load of Square Plates|187
8.7 Tabulation of Uk' Limit Load for Oblique,Rhombic and Square Plates|188
8.8 Suiimiary|189
8.9 Problems|191
Rofercnccs|192
9 Plastic Limit Analysis of Pressure Vessels|1949.1 Introduction|194
9.2 Unified Solution of Limit Pressure of Thin-walIed Pressure Vessel|195
9.3 Limit Pressure of Thick-walled Hollow Sphere|1999.3.1 Elastic Limit Pressure of Thick-walled Sphere Shell|200
9.3.2 PlastU- Limit Pressure of Thick-walled Sphere Shell|201
9.4 Unified Solulion of EUmtio Limit. Pressure of Tlick-wallde Cylinder|203
9.5 Unified SoltLtion of Plastic Limit Pressure of Tliick-wallded Cylinder|2099.5.1 Stress Dislribution|209
9.5.2 Plastic Zoitc in the Elasto-plastic Range|211
9.5.3 Plastic Zone Radius in the Elastcnplaslic Range|212
9.5.4 Plastic Limit Pressure|212
9.6 Summary|217
9.7 Problems|219
References|221
10 Dynamic Plastic Response of Circular Plate|22410.1 Introduction|224
10.2 Dvnainic Ivimilioiis and Boundary Conditioius of CircularPlate|22510.2.1 First Phase of Motion (0 ≤T≤ r)|228
10.2.2 Second Phase of Motion (r≤t≤T)|231
10.3 Static and Kinetic Admissibility|233
10.4 Unified Solution of Dynamic Plastic Response of CircularPlate|235
10.5 Special Cases of the Unified Solutions|240
10.6 Summary|248
Roferences|248
11 Limit Angular Speed of Rotating Disc and Cylinder|25011.1 Introduction|250
11.2 Elastio Limit of Discs|251
11.3 Elastio-plastir Analysis of Discs|252
11.4 Elastio-plastic Stress Field of Rotating Disc|255
11.5 Solution Procedure and Results|257
11.6 Unified Solution of Plastic Limit Analysis of Rotating Cylinder|258
11.7 Limit Analysis of a Sol"l Disc with Variable Thickness|261
11.8 Limit Analysis of an Ainmliir l)isr with Variable Thickness|26511.8.1 Case (1) (1 >β≥βo)|266
11.8.2 Case (2) (0 237
11.9 Special Case ofb = 0|270
11.10 Results and Discussion|271
11.11 Sumniary|277
11.12 Problems|277
References|278
12 Projectile Penetration into Semi-infinite Target|28012.1 Introduction|280
12.2 Spatial Axisymmetric Form of unified Strength Theory|281
12.3 FuiHlmneutal equalions for concrete Targets|28212.3.1 Conscniiliou equations|282
12.3.2 Relation between Pressure mul Bulk Strain|283
12.3.3 Failure Criterion Expressed by crr and 283
12.3.4 Interface Conditions|284
12.4 Cylindrical Cavity Expansion Analysis|28412.4.1 Elastic Zone (c1t≤r≤cdt,β1/β≤s≤1/a|285
12.4.2 Interface of Elastic-crackcnl Zones (r = c1t,ξ=β1/β)|289
12.4.3 Radial Crarkod Zone(ct≤r≤c1t,1≤ξ≤β1/β)|290
12.4.4 Interface of the Plastic and Cracked Zones(r=ct,ξ=1)|292
12.4.5 Plastic Zone (urt≤r≤ct,δ≤ξ≤1)|294
12.5 Cavity Expansion Pressure and Velocity|29512.5.1 Incompressibie Material|296
12.5.2 Coumpressible Material|298
12.6 Penetration Resi.slmice Analysis|303
12.7 Analysis and Verification of Poiictratioii Depth|307
12.8 Summary|309
References|310
13 Plastic Analysis of Ortlmgonal Circular Plate|31213.1 Introduction|312
13.2 Orthotropic Yield Criteria|312
13.3 Goncrai Solutions|315
13.4 Simply Supportod Ortliotropk- Circuliir Plate|320
13.4.1 Case I: Point 4' Falls on Segment KL|32013.4.2 Case II: Point A' Falls on Segment LA|321
13.4.3 Case III: Point A' Falls on Segment AB|321
13.4.4 Case IV: Point A' Falls on Segment BC|321
13.4.5 Moment.Velocity Fichls and Plastic Limit Load|322
13.5 Fixed Supported Circular Plate|32613.5.1 Case I: Point A' Falls on Segment KL|326
13.5.2 Case II: Point A' Falls on Segment LA|326
13.5.3 Case III: Point A' bxitcs on Segment AB|326
13.5.4 Case IV: Point A' Kails on Segment BC|327
13.5.5 Moment Fields, Velocity Fields, and Plastic LimitLoad|327
13.6 Suiimiary|331
References|331
14 Unified Limit Analysis of a Wellbore|33314.1 Introduction|333
14.2 Unified Strength Theory|334
14.3 Equations and Bouiultiry Coiuiitions for the Wellbore|33514.3.1 Strength Analysis for WVUhoro|335
14.3.2 Pore Pressure Analysis|337
l4.4 Elastic and Plastic Analysis|33714.4.1 Elastic Phase|337
14.4.2 Plastic Limit Pressure|338
14.4.3 Elastic-plastic Boundary|339
14.4.4 Example|340
14.4.5 Limit Depth for Stability of a Shaft|341
14.5 Sunnnary|343
14.6 Problems|343
References|344
15 Unified Solution of Shakedown Limit for Thick-walled Cylinder|34615.1 Introduction|346
15.2 Shakedown Theorem|34815.2.1 Static Shakedown Theorem (Melan's Theorem)|348
15.2.2 Kinematic Shakedown Theorem (Koiter Theorem)|348
15.3 Sliakcdown Analysis for Thick-wallccl Cylinders|349
15.4 Unified Solution of Shakedown Pii'ssure of Thick-wallde Cylinders|353
15.5 connection between shakedown Theorem and limit load theorem|355
15.6 Slmkedown Pressure of a Tliick-walUxi Spherical Shell|358
15.7 Summary|359
15.8 Problems|359
References|330
16 Unified Solution of Shakedown Limit for Circular Plate|36316.1 Introduction|363
16.2 Unified Solution of Shakedown Limit for Simply Supported Circular Plate|36416.2.1 Elastic State|364
16.2.2 Elastic-plastic State|365
16.2.3 Completely Plastic StfXc|367
16.2.4 ShiUccdown Analysis|367
16.2.5 Discussion|368
16.3 Unified Solution of Shakedown Limit for Clamped CircularPlate|36916.3.1 Elastic State|369
16.3.2 Elastic-plastic State|369
16.3.3 Completely Plastic State|370
16.3.4 Shakedown Analysis|370
16.3.5 Discussion|371
16.4 Comparison between Shakedown Solution and Limit Results|372
16.6 Problems|373
References|374
17 Shakedown Analysis of Rotating Cylinder and Disc|37617.1 Introduction|376
17.2 Elasto-plastic and Shakedown Analyses of Rotating Cylinder and Disc|37717.2.1 Elastic Analysos of Hollow Rotating Circular Bars|377
17.2.2 Elasto-plantic Analyses of Hollow Rotating Circular Bars|379
17.2.3 Shakedown Analyses of Hollow Rotating Cin'iilar Bars|381
17.2.4 Elasto plasticity mid Shakwlowu of Solid Rotating Circular Bars|383
17.3 Summary of Elasto-plasticity and Sliakedowu Analyses of Rotating Circular Bars|385
17.4 Elas to-plastic and Shakedown Analyses of Rotating Disc|32617.4.1 Elastic Analyses of Hollow Rotating Discs|387
17.4.2 Plastic Limit Analyses of Hollow Rotating Discs|390
17.4.3 Shakedown of Hollow Rotating Discs|392
17.5 Elas to-plastic and Shakedown Analyses of Solid RotatingDiscs|395
17.6 Summary of Elastic and Plastic Analyses of Rotating Discs|396
17.7 Summary|397
References|398
Index|400
封底|404
   
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