Gunter Erhard
Designing with Plastics
Contents
6
1 Market Overview
14
1.1 Examples of Applications from Various Industry Sectors
17
1.1.1 Aerospace
17
1.1.2 Precision Engineering
20
1.1.3 Automotive Engineering
22
1.1.4 General Mechanical Engineering
27
1.1.5 Design of Technical Equipment
28
1.1.6 Construction Industry
31
1.2 Forecast
35
2 Structure and Properties
44
2.1 Chemical Structure (Constitution)
44
2.1.1 Degree of Polymerization – Relative Molecular Weight
47
2.1.2 Homopolymerization and Copolymerization
51
2.2 Intermolecular Binding Energies (Secondary Valence Bonds)
53
2.2.1 Absorption of Water by Polyamides
54
2.3 Spatial Arrangement of Atoms and Groups of Atoms in Molecules (Configuration)
60
2.3.1 Tacticity
61
2.3.2 Branching
61
2.3.3 Cross-Linking
62
2.4 Architecture of Polymer Systems
63
2.4.1 Homogeneous and Heterogeneous Polymer Mixtures
63
2.4.2 Plasticization
64
2.4.3 Fillers and Reinforcement
64
2.5 Morphology (Supermolecular Structures)
67
2.5.1 Amorphous Microstructure
67
2.5.2 Crystalline Microstructure
68
2.5.3 Anisotropy
73
2.6 Thermomechanical Ranges
77
2.6.1 Thermoplastics with Amorphous Structure
77
2.6.2 Thermoplastics with Semicrystalline Structure
79
2.6.3 Elastomers
80
2.6.4 Thermosets
80
3 Brief Description of the Properties of Generic Polymeric Materials
84
3.1 Thermoplastics
84
3.1.1 Polymer Blends
93
3.1.2 Functional Polymers
96
3.2 Elastomers
101
3.3 Thermosets
103
3.4 Fibrous Reinforcements
107
3.4.1 Glass Fibers
108
3.4.2 Carbon Fibers
110
3.4.3 Aramid Fibers
110
3.4.4 Metal Fibers, Whiskers, and Ceramic Fibers
110
4 Physical Properties – Characteristic Values – Test Methods and Procedures
114
4.1 Deformation Behavior under Uniaxial Dynamic Tensile Stress (Stress-Strain Experiments)
114
4.1.1 Molecular Deformation and Fracture Mechanisms
114
4.1.2 Characteristic Stress-Strain Curves
116
4.1.3 Determination of Stress-Strain Diagrams and Characteristic Properties of Materials
117
4.1.4 Effects of Temperature, Time, and Humidity on Stress-Strain Curves
120
4.1.5 Mathematical Description of Stress-Strain Curves
122
4.2 Deformation Behavior under Uniaxial, Long-Term, Static Tensile Loads (Tensile Creep Testing)
124
4.2.1 Mathematical Description of Creep Curves
126
4.3 Toughness and Impact Resistance
128
4.3.1 Determination of Tensile Stress-Strain Toughness
129
4.3.2 Determination of Toughness by Flexural Impact Test
129
4.3.3 Penetration or Dart Drop Impact Test
132
4.4 Behavior under Cyclic Loads
133
4.4.1 Determination of Characteristic Features of Fatigue
135
4.5 Poisson’s Ratio
138
4.6 Thermal Properties
140
4.6.1 Thermal Expansion
140
4.6.2 Dimensional Stability
142
4.6.3 Heat Aging
145
4.6.4 Summary Analysis of the Effects of Temperature
149
4.7 Tribological Properties
149
4.7.1 Fundamentals
151
4.7.2 Friction and Wear in Mated Polymer and Steel Surfaces
158
4.7.3 Friction and Wear in Mated Pairs of Polymeric Materials
169
4.7.5 Effect of Additives on Friction and Wear Properties
171
4.7.6 Stick-Slip
178
4.7.7 Jet Erosion
181
5 Calculations for Structures under Mechanical Load – Examples of Geometrically Simple Structural Parts under Static Loads
188
5.1 Specific Materials and Processing Problems
188
5.1.1 Deformation Behavior under Uniaxial Dynamic Tensile Stress
188
5.2 Determination of Strength
190
5.2.1 Basic Procedure for Structural Part Design
190
5.2.2 Uniaxial State of Stress
195
5.2.3 Multiaxial State of Stress
197
5.3 Calculation of Strains and Deformations
203
5.3.1 Linear Elastic Behavior
203
5.3.2 Nonlinear Elastic Behavior
204
5.4 Analysis of Stress and Deformation in Structures under Flexural Loads with the Aid of a Simple FE Approach
209
5.5 Calculation of Structural Parts Subjected to Impact Loads
211
5.6 Structural Design of Fiber-Composite Structures
212
5.6.1 Mechanical Properties of Laminates
213
5.6.2 Methods of Calculation
218
5.7 Computer-Aided Development
220
5.7.1 Computer-Aided Design (CAD)
220
5.7.2 Rapid Prototyping
221
5.7.3 Rapid Tooling
223
6 Design and Material Considerations for Parts Subjected to Mechanical Loads
226
6.1 Flexible Structures
226
6.1.1 Modulus of Elasticity
226
6.1.2 Design Geometry – Moment of Inertia
227
6.1.3 Load–Geometry Interactions
228
6.2 Flexurally Rigid Structures
231
6.3 Flexurally Flexible, Torsionally Rigid Structures
233
6.4 Flexurally Rigid, Torsionally Flexible Structures
234
6.5 Torsion-Resistant, Torsionally Rigid Structures
234
6.6 Flexurally and Torsionally Rigid Structures
237
6.7 Torsionally Flexible Structures
238
6.8 Tension-Proof, Tensionally Rigid and Torsionally Flexible Structures
238
6.9 High Shear-Strength, Shear-Resistant Structures
239
6.10 Pressure-Yielding and Compression-Resistant Structures
240
6.11 Multifunctional Structures
242
6.12 Thermal Expansion and Thermal Stress
243
6.13 Universal Joints
248
7 Designing for Production
252
7.1 Mold Filling
252
7.1.1 Simulation of the Filling Operation
254
7.1.2 Causes of Orientation in Moldings
256
7.1.3 Causes for Formation of Weld Lines and Air Pockets
265
7.2 Cooling and Solidification
274
7.2.1 Cooling Rate
274
7.2.2 Changes in Dimensions and Tolerances
277
7.2.3 Warpage
284
7.3 Demolding
290
7.3.1 Draft
293
7.3.2 Demolding of Undercuts
293
7.3.3 Avoidance of Undercuts
298
7.4 Sandwich Molding (Co-Injection Molding)
302
7.4.1 Two-Color Injection Molding
302
7.4.2 Rigid-Flexible Combinations
306
7.4.3 Gas Injection Technology (GIT)
312
7.4.5 External Gas Pressure Technology
316
8 Flexing Elements
324
8.1 Snap-Fit Joints
324
8.1.1 Snap-Fit Beams
330
8.1.2 Torsional Snap-Fit Joints
338
8.1.3 Annular Snap-Fit Joints
340
8.1.4 Segmented Annular Snap-Fit Joints
344
8.2 Elastic Elements
348
8.2.1 Elastic Thermoplastic Materials
348
8.2.2 Springs Made of Fiber-Plastic Composites (Glass-Fiber and Carbon-Fiber Reinforced Plastic)
355
8.3 Integral Hinges and Integral Joints
358
8.3.1 Manufacture of Integral Hinges and Integral Joints
359
8.3.2 Design
362
8.3.3 Materials
363
8.3.4 Integral Hinge Design Calculations
363
8.3.5 Applications with Integral Hinges
368
9 Mechanical Fasteners
378
9.1 Molded Threads and Threads Produced by Machining
379
9.1.1 Screws and Bolts Made of Polymeric Material
379
9.1.2 Injection-Molded, Blow-Molded, and Machined Threads
381
9.2 Threaded Inserts
381
9.2.1 Encapsulated Threaded Inserts
381
9.2.2 Threaded Inserts Embedded by Ultrasound
381
9.2.3 Press-In Threaded Inserts
382
9.2.4 Expansion Inserts
383
9.2.5 Screw-In Inserts
383
9.2.6 Inserts Made of Polymeric Materials
384
9.2.7 Comparative Evaluation of the Various Inserts
384
9.2.8 Behavior under Dynamic Loads
387
9.3 Self-Threading Screws
387
9.3.1 Screw Shapes and Geometries
388
9.3.2 Design of the Screw Boss
390
9.3.3 Calculation of Key Variables in a Self-Threading Screw Joint
394
10 Ribbed Structures
400
10.1 Comparison with Other Methods of Reinforcement
400
10.1.1 Increasing the Modulus of Elasticity
400
10.1.2 Increasing Wall Thickness
401
10.1.3 Crimps and Corrugations
402
10.2 General Considerations in Ribbed Structures
403
10.2.1 Rib Height
403
10.2.2 Rib Position
404
10.2.3 Number of Ribs (Consumption of Material)
406
10.2.4 Support
408
10.3 Design Rules for Injection-Molded Ribs
409
10.3.1 Rib Thickness
409
10.3.2 Cooling Time
410
10.3.3 Injection Direction
411
10.3.4 Rib Intersection Points (Nodes)
413
10.4 Design Rules for Ribs Produced by Gas-Assist Molding Methods
414
10.5 Design Rules for Blow-Molded Ribs and Corrugations
416
10.5.1 Blow-Molded Corrugations
416
10.5.2 Blow-Molded Ribs
418
10.6 Design Rules for Compression-Molded Ribs
419
10.6.1 Manual Processing (Hand Lay-Up Process)
419
10.6.2 Compression Molding
420
11 Gear Wheels
424
11.1 Calculation of the Tooth and Tooth Face Temperatures in Spur Gears
426
11.1.1 Blok’s Flash Temperature Hypothesis
427
11.1.2 Takanashi Method for Calculating Temperature
427
11.1.3 Hachmann and Strickle Method for Calculating Temperature
429
11.1.4 Comparison of Methods of Calculating Temperature
431
11.1.5 Optimized Temperature Calculation
432
11.2 Calculation of Load-Bearing Capacity
437
11.2.1 Tooth Damage
438
11.2.2 General Parameters
439
11.2.3 Calculation of the Load-Bearing Capacity of the Tooth Base
440
11.2.4 Calculation of the Load-Bearing Capacity of the Tooth Flank
447
11.2.5 Calculation of Tooth Deformation
453
11.3 Design
455
11.3.1 Injection Molding
455
11.3.2 Production of Gears by Machining
459
11.3.3 Shaft-Hub Joints
460
12 Friction Bearings
472
12.1 Friction Bearing Damage
474
12.2 Calculation of Load-Bearing Capacity for Bearings
476
12.2.1 Calculation of Mean Bearing Temperature
476
12.2.2 Calculation of Temperature of Sliding Surface
479
12.2.3 Static Load-Bearing Capacity
479
12.2.4 Dynamic Load-Bearing Capacity
488
12.3 Bearing Design
491
12.3.1 Bearing Clearance
491
12.3.2 Bearing Wall Thickness
493
12.3.3 Bearing Production
494
12.3.4 Design Examples of Bearings
494
13 Wheels and Rollers
498
13.1 Roller Damage
499
13.2 Calculation of Load-Bearing Capacity
501
13.2.1 Pressure Parameter as an Approximate Design Limit
501
13.2.2 Deformation of Rollers under Static Load
505
13.2.3 Rollers under Dynamic Load
511
Index
522
© 2009-2024 ciando GmbH