Innovative Creep Analysis Methods: 101 Solved Problems provides analytical insight and solutions to commonly encountered problems involving creep deformation of materials. The book provides fundamental insight into the phenomenon of creep, methods for analyzing elasticity and plasticity problems, outlines the effects of atomic number and atomic weight on creep, as well as simulation techniques for elasto-plastic deformation in composites by flow-rule. Creep formulations and computational modeling techniques are provided throughout. Each problem presented is meticulously solved with detailed explanations and step-by-step instructions, ensuring that readers grasp the underlying concepts. Problems featured include predicting principal creep stress in fibrous composites, obtaining creep strain rate in nickel, obtaining creep-rupture life in alloy S-590, finding nonlinear isochronous curves with Ramberg-Osgood Form, finding the strain formulation in a viscoelastic model, obtaining maximum creep stress in beam and elastic deflection, deformation of creep plastically, calculating minimum creep strain rate, and much more.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iv 6. Preface - p. xiii 7. List of main symbols - p. xv 8. 1. General information for creep analysis methods - p. 1 9. 2. Analytical creep analysis methods - p. 9 10. 3. Numerical creep analysis methods - p. 51 11. 4. Experimental creep analysis methods - p. 87 12. 5. Comprehensive algorithm for analyzing the elasticity and plasticity problems - p. 145 13. 6. Effects of Atomic Number and Atomic Weight on Creep - p. 159 14. 7. Simulation of elasto-plastic deformation in composite by flow rules - p. 173 15. 8. Obtaining the viscosity of solids using creep semitheoretically - p. 183 16. 9. Creep formulations and diagrams - p. 191 17. 10. Application of legendre polynomials in creep analysis of composites - p. 211 18. 11. Computational modeling of creep in complex plane for composites - p. 229 19. 12. Solved problems - p. 255 20. Abstract - p. 255 21. 12.1 Problem 12.1: Prediction of the principal creep stress in fibrous composite - p. 255 22. 12.2 Problem 12.2: Estimating principal creep shear and equivalent stress in composite - p. 259 23. 12.3 Problem 12.3: Predicting the principal creep strain rate in composite - p. 264 24. 12.4 Problem 12.4: Obtaining creep strain rate in nickel - p. 273 25. 12.5 Problem 12.5: Predicting creep-rupture life in Fe-Cr-Ni-Co alloy S-590 - p. 274 26. 12.6 Problem 12.6: Obtaining creep-rupture life in alloy S-590 - p. 275 27. 12.7 Problem 12.7: Extracting equations for Sherby–Dorn and Larson–Miller parameters - p. 276 28. 12.8 Problem 12.8: Obtaining creep-rupture life in alloy S-590 - p. 279 29. 12.9 Problem 12.9: Finding an equation for thin-walled tubular pressure vessel - p. 280 30. 12.10 Problem 12.10: Obtaining maximum stress and deflection in a viscoelastic beam - p. 282 31. 12.11 Problem 12.11: Estimating the Stress and rupture time in creeping beam of S-590 - p. 284 32. 12.12 Problem 12.12: Definition of steady state creep rate in crystalline materials - p. 285 33. 12.13 Problem 12.13: Introducing the values of the Larson–Miller parameter - p. 287 34. 12.14 Problem 12.14: Presenting the Sherby–Dorn parameter - p. 287 35. 12.15 Problem 12.15: Introducing the creep power-law rule - p. 287 36. 12.16 Problem 12.16: Finding nonlinear isochronous curves with Ramberg-Osgood form - p. 289 37. 12.17 Problem 12.17: Determining damping energy per cycle and per unit volume - p. 290 38. 12.18 Problem 12.18: Obtaining strain relation in a viscoelastic model - p. 291 39. 12.19 Problem 12.19: Finding the strain formulation in a viscoelastic model - p. 292 40. 12.20 Problem 12.20: Determining the strain relation in a viscoelastic model - p. 293 41. 12.21 Problem 12.21: Obtaining the strain relation in a viscoelastic model - p. 293 42. 12.22 Problem 12.22: Limitation on linear isochronous curves for a viscoelastic model - p. 294 43. 12.23 Problem 12.23: Restriction on linear isochronous curves for a viscoelastic model - p. 295 44. 12.24 Problem 12.24: Obtaining stress relation and relaxation for a viscoelastic model - p. 296 45. 12.25 Problem 12.25: Getting relaxation and stress relation in linear viscoelastic model - p. 297 46. 12.26 Problem 12.26: Determining the steady state creep rate and related constants - p. 299 47. 12.27 Problem 12.27: Getting maximum strain rate in blades for nickel and MAR-M200 - p. 299 48. 12.28 Problem 12.28: Getting highest operating temperature and safety factor, AISI 310 - p. 301 49. 12.29 Problem 12.29: Estimating time and safety factor at a pipe of spacecraft, AISI 310 - p. 301 50. 12.30 Problem 12.30: Obtaining safety factor and lifetime to creep rupture for S-590 - p. 302 51. 12.31 Problem 12.31: Getting highest temperature and safety factor for Cr-Mo-V steel - p. 303 52. 12.32 Problem 12.32: Analyzing creep in gas turbine aircraft engine blade, alloy A-286 - p. 303 53. 12.33 Problem 12.33: Getting maximum creep stress in beam and elastic deflection - p. 304 54. 12.34 Problem 12.34: Getting creep stress and rupture time in rectangular beam S-590 - p. 305 55. 12.35 Problem 12.35: Determining the viscoelastic strain parameters in polyethylene - p. 306 56. 12.36 Problem 12.36: Developing equation for stress versus time behavior during relaxation - p. 306 57. 12.37 Problem 12.37: Predicting rate of creep strain in vessel wall a borosilicate glass - p. 307 58. 12.38 Problem 12.38: Deriving an equation for creep in pure planar shear - p. 307 59. 12.39 Problem 12.39: Obtaining creep strain rate parameters in AISI 304 stainless steel - p. 308 60. 12.40 Problem 12.40: Getting effective creep strain rate and increasing of vessel length - p. 309 61. 12.41 Problem 12.41: Determining viscous stress tensor components in crept material - p. 309 62. 12.42 Problem 12.42: Finding hydrostatic stress, deviatoric and spherical stress tensor - p. 310 63. 12.43 Problem 12.43: Obtaining maximum stress and initial elastic deflection in SS-beam - p. 311 64. 12.44 Problem 12.44: Achieving creep strain in a high-density polyethylene material - p. 311 65. 12.45 Problem 12.45: Selecting beam size, rectangular cross section, 7075-T6 aluminum - p. 311 66. 12.46 Problem 12.46: Obtaining an equation giving energy and loss coefficient in beam - p. 312 67. 12.47 Problem 12.47: Getting a relation giving energy and loss coefficient in beam - p. 314 68. 12.48 Problem 12.48: Expression for unit damping energy for a perfectly plastic material - p. 314 69. 12.49 Problem 12.49: Expressing energy as an implicit function of shear strain in a shaft - p. 315 70. 12.50 Problem 12.50: Estimating maximum service life and safety margin for A-286 - p. 316 71. 12.51 Problem 12.51: Definition about coble creep for crystalline solids - p. 316 72. 12.52 Problem 12.52: Competition between coble and dislocation creep - p. 317 73. 12.53 Problem 12.53: Definition of dominant creep mechanism - p. 317 74. 12.54 Problem 12.54: Introducing six methods to prevent creep in materials - p. 317 75. 12.55 Problem 12.55: Explaining about reducing creep rate during primary creep - p. 317 76. 12.56 Problem 12.56: Importance of creep of materials - p. 318 77. 12.57 Problem 12.57: Demonstration about the creep damage - p. 318 78. 12.58 Problem 12.58: Definition of creep limit and creep-resistant materials - p. 319 79. 12.59 Problem 12.59: Deformation of creep plastically - p. 319 80. 12.60 Problem 12.60: Advantages or disadvantages of creep - p. 319 81. 12.61 Problem 12.61: Introducing the difference between the creep and relaxation - p. 319 82. 12.62 Problem 12.62: Definition of viscoelastic creep - p. 320 83. 12.63 Problem 12.63: Describing the creep fatigue - p. 320 84. 12.64 Problem 12.64: Calculation of the minimum creep strain rate - p. 320 85. 12.65 Problem 12.65: Describing the creep failure and fracture mechanism - p. 321 86. 12.66 Problem 12.66: Computation of the steady state creep rate for aluminum - p. 321 87. 12.67 Problem 12.67: Predicting the required time to possible rupture for an element - p. 322 88. 12.68 Problem 12.68: Getting creep strain rate for constant and variable temperature - p. 323 89. 12.69 Problem 12.69: Determining creep elongation of a specimen made of S-590 alloy - p. 323 90. 12.70 Problem 12.70: Obtaining minimum diameter for given creep elongation, S-590 - p. 323 91. 12.71 Problem 12.71: Estimating the creep rupture lifetime for S-590 alloy - p. 325 92. 12.72 Problem 12.72: Obtaining creep parameters from creep data of a S-590 alloy - p. 325 93. 12.73 Problem 12.73: Estimating the activation energy for creep of the S-590 alloy - p. 325 94. 12.74 Problem 12.74: Computing the stress at a given creep rate for nickel alloy - p. 326 95. 12.75 Problem 12.75: Calculating the creep rate for an iron - p. 327 96. 12.76 Problem 12.76: Estimating temperature for specific creep rupture lifetime, S-590 - p. 327 97. 12.77 Problem 12.77: Explaining creep stages and regions along with formulation - p. 328 98. 12.78 Problem 12.78: Finding dynamic (absolute) viscosity in creeping rotating disc - p. 328 99. 12.79 Problem 12.79: Obtaining constitutive model for a viscoelasticity system - p. 329 100. 12.80 Problem 12.80: Obtaining response of a Zener model to an applied constant stress - p. 330 101. 12.81 Problem 12.81: Response of standard linear solid model to a stress excitation - p. 331 102. 12.82 Problem 12.82: Obtaining differential equations for standard fluids I and II - p. 332 103. 12.83 Problem 12.83: Response of standard fluid I model to applied constant stress - p. 333 104. 12.84 Problem 12.84: Obtaining critical time, stress and strain in creep buckling - p. 333 105. 12.85 Problem 12.85: Estimating Critical Time for Creep Buckling, Column 75S-T6/Al - p. 336 106. 12.86 Problem 12.86: Presenting the analogy between creep buckling and rupture time - p. 338 107. 12.87 Problem 12.87: Finding creep buckling time of column with a symmetric area - p. 339 108. 12.88 Problem 12.88: Getting the retightening time in the creep relaxation process - p. 341 109. 12.89 Problem 12.89: Creep stating of fire in structural steel work, refractory coating - p. 342 110. 12.90 Problem 12.90: Challenges about creep analysis of polymer matrix composites using viscoplastic model - p. 342 111. 12.91 Problem 12.91: Depicting linear/nonlinear elastic/viscoelastic solids’ behaviors - p. 344 112. 12.92 Problem 12.92: Drawing the creep long-term behavior, strain-time curve - p. 344 113. 12.93 Problem 12.93: Finding time dependent relation for four-element model - p. 345 114. 12.94 Problem 12.94: Getting rupture time and failure due to creep in polymers by KTF - p. 348 115. 12.95 Problem 12.95: Introducing formulations for effective stress by failure criterion - p. 349 116. 12.96 Problem 12.96: Getting dissipated energy rate for thermal fatigue in crept epoxy - p. 350 117. 12.97 Problem 12.97: Estimating the creep crack growth rate for AISI 4340 steel - p. 350 118. 12.98 Problem 12.98: Estimate the activation energy and related parameters in creep - p. 351 119. 12.99 Problem 12.99: Estimating allowable stress for power generating turbine, S-590 - p. 353 120. 12.100 Problem 12.100: analyzing creep elongation, relaxation and critical damage - p. 354 121. 12.101 Problem 12.101: Simulation between Collatz sequence and mechanical problems - p. 359 122. References - p. 362 123. Appendix A. Some mechanical equations and material properties - p. 365 124. Appendix B. Some mathematical relations - p. 387 125. Appendix C. Useful creep data for some alloys - p. 397 126. Index - p. 401
Innovative Creep Analysis Methods: 101 Solved Problems provides analytical insight and solutions to commonly encountered problems involving creep deformation of materials. The book provides fundamental insight into the phenomenon of creep, methods for analyzing elasticity and plasticity problems, outlines the effects of atomic number and atomic weight on creep, as well as simulation techniques for elasto-plastic deformation in composites by flow-rule. Creep formulations and computational modeling techniques are provided throughout. Each problem presented is meticulously solved with detailed explanations and step-by-step instructions, ensuring that readers grasp the underlying concepts. Problems featured include predicting principal creep stress in fibrous composites, obtaining creep strain rate in nickel, obtaining creep-rupture life in alloy S-590, finding nonlinear isochronous curves with Ramberg-Osgood Form, finding the strain formulation in a viscoelastic model, obtaining maximum creep stress in beam and elastic deflection, deformation of creep plastically, calculating minimum creep strain rate, and much more.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iv 6. Preface - p. xiii 7. List of main symbols - p. xv 8. 1. General information for creep analysis methods - p. 1 9. 2. Analytical creep analysis methods - p. 9 10. 3. Numerical creep analysis methods - p. 51 11. 4. Experimental creep analysis methods - p. 87 12. 5. Comprehensive algorithm for analyzing the elasticity and plasticity problems - p. 145 13. 6. Effects of Atomic Number and Atomic Weight on Creep - p. 159 14. 7. Simulation of elasto-plastic deformation in composite by flow rules - p. 173 15. 8. Obtaining the viscosity of solids using creep semitheoretically - p. 183 16. 9. Creep formulations and diagrams - p. 191 17. 10. Application of legendre polynomials in creep analysis of composites - p. 211 18. 11. Computational modeling of creep in complex plane for composites - p. 229 19. 12. Solved problems - p. 255 20. Abstract - p. 255 21. 12.1 Problem 12.1: Prediction of the principal creep stress in fibrous composite - p. 255 22. 12.2 Problem 12.2: Estimating principal creep shear and equivalent stress in composite - p. 259 23. 12.3 Problem 12.3: Predicting the principal creep strain rate in composite - p. 264 24. 12.4 Problem 12.4: Obtaining creep strain rate in nickel - p. 273 25. 12.5 Problem 12.5: Predicting creep-rupture life in Fe-Cr-Ni-Co alloy S-590 - p. 274 26. 12.6 Problem 12.6: Obtaining creep-rupture life in alloy S-590 - p. 275 27. 12.7 Problem 12.7: Extracting equations for Sherby–Dorn and Larson–Miller parameters - p. 276 28. 12.8 Problem 12.8: Obtaining creep-rupture life in alloy S-590 - p. 279 29. 12.9 Problem 12.9: Finding an equation for thin-walled tubular pressure vessel - p. 280 30. 12.10 Problem 12.10: Obtaining maximum stress and deflection in a viscoelastic beam - p. 282 31. 12.11 Problem 12.11: Estimating the Stress and rupture time in creeping beam of S-590 - p. 284 32. 12.12 Problem 12.12: Definition of steady state creep rate in crystalline materials - p. 285 33. 12.13 Problem 12.13: Introducing the values of the Larson–Miller parameter - p. 287 34. 12.14 Problem 12.14: Presenting the Sherby–Dorn parameter - p. 287 35. 12.15 Problem 12.15: Introducing the creep power-law rule - p. 287 36. 12.16 Problem 12.16: Finding nonlinear isochronous curves with Ramberg-Osgood form - p. 289 37. 12.17 Problem 12.17: Determining damping energy per cycle and per unit volume - p. 290 38. 12.18 Problem 12.18: Obtaining strain relation in a viscoelastic model - p. 291 39. 12.19 Problem 12.19: Finding the strain formulation in a viscoelastic model - p. 292 40. 12.20 Problem 12.20: Determining the strain relation in a viscoelastic model - p. 293 41. 12.21 Problem 12.21: Obtaining the strain relation in a viscoelastic model - p. 293 42. 12.22 Problem 12.22: Limitation on linear isochronous curves for a viscoelastic model - p. 294 43. 12.23 Problem 12.23: Restriction on linear isochronous curves for a viscoelastic model - p. 295 44. 12.24 Problem 12.24: Obtaining stress relation and relaxation for a viscoelastic model - p. 296 45. 12.25 Problem 12.25: Getting relaxation and stress relation in linear viscoelastic model - p. 297 46. 12.26 Problem 12.26: Determining the steady state creep rate and related constants - p. 299 47. 12.27 Problem 12.27: Getting maximum strain rate in blades for nickel and MAR-M200 - p. 299 48. 12.28 Problem 12.28: Getting highest operating temperature and safety factor, AISI 310 - p. 301 49. 12.29 Problem 12.29: Estimating time and safety factor at a pipe of spacecraft, AISI 310 - p. 301 50. 12.30 Problem 12.30: Obtaining safety factor and lifetime to creep rupture for S-590 - p. 302 51. 12.31 Problem 12.31: Getting highest temperature and safety factor for Cr-Mo-V steel - p. 303 52. 12.32 Problem 12.32: Analyzing creep in gas turbine aircraft engine blade, alloy A-286 - p. 303 53. 12.33 Problem 12.33: Getting maximum creep stress in beam and elastic deflection - p. 304 54. 12.34 Problem 12.34: Getting creep stress and rupture time in rectangular beam S-590 - p. 305 55. 12.35 Problem 12.35: Determining the viscoelastic strain parameters in polyethylene - p. 306 56. 12.36 Problem 12.36: Developing equation for stress versus time behavior during relaxation - p. 306 57. 12.37 Problem 12.37: Predicting rate of creep strain in vessel wall a borosilicate glass - p. 307 58. 12.38 Problem 12.38: Deriving an equation for creep in pure planar shear - p. 307 59. 12.39 Problem 12.39: Obtaining creep strain rate parameters in AISI 304 stainless steel - p. 308 60. 12.40 Problem 12.40: Getting effective creep strain rate and increasing of vessel length - p. 309 61. 12.41 Problem 12.41: Determining viscous stress tensor components in crept material - p. 309 62. 12.42 Problem 12.42: Finding hydrostatic stress, deviatoric and spherical stress tensor - p. 310 63. 12.43 Problem 12.43: Obtaining maximum stress and initial elastic deflection in SS-beam - p. 311 64. 12.44 Problem 12.44: Achieving creep strain in a high-density polyethylene material - p. 311 65. 12.45 Problem 12.45: Selecting beam size, rectangular cross section, 7075-T6 aluminum - p. 311 66. 12.46 Problem 12.46: Obtaining an equation giving energy and loss coefficient in beam - p. 312 67. 12.47 Problem 12.47: Getting a relation giving energy and loss coefficient in beam - p. 314 68. 12.48 Problem 12.48: Expression for unit damping energy for a perfectly plastic material - p. 314 69. 12.49 Problem 12.49: Expressing energy as an implicit function of shear strain in a shaft - p. 315 70. 12.50 Problem 12.50: Estimating maximum service life and safety margin for A-286 - p. 316 71. 12.51 Problem 12.51: Definition about coble creep for crystalline solids - p. 316 72. 12.52 Problem 12.52: Competition between coble and dislocation creep - p. 317 73. 12.53 Problem 12.53: Definition of dominant creep mechanism - p. 317 74. 12.54 Problem 12.54: Introducing six methods to prevent creep in materials - p. 317 75. 12.55 Problem 12.55: Explaining about reducing creep rate during primary creep - p. 317 76. 12.56 Problem 12.56: Importance of creep of materials - p. 318 77. 12.57 Problem 12.57: Demonstration about the creep damage - p. 318 78. 12.58 Problem 12.58: Definition of creep limit and creep-resistant materials - p. 319 79. 12.59 Problem 12.59: Deformation of creep plastically - p. 319 80. 12.60 Problem 12.60: Advantages or disadvantages of creep - p. 319 81. 12.61 Problem 12.61: Introducing the difference between the creep and relaxation - p. 319 82. 12.62 Problem 12.62: Definition of viscoelastic creep - p. 320 83. 12.63 Problem 12.63: Describing the creep fatigue - p. 320 84. 12.64 Problem 12.64: Calculation of the minimum creep strain rate - p. 320 85. 12.65 Problem 12.65: Describing the creep failure and fracture mechanism - p. 321 86. 12.66 Problem 12.66: Computation of the steady state creep rate for aluminum - p. 321 87. 12.67 Problem 12.67: Predicting the required time to possible rupture for an element - p. 322 88. 12.68 Problem 12.68: Getting creep strain rate for constant and variable temperature - p. 323 89. 12.69 Problem 12.69: Determining creep elongation of a specimen made of S-590 alloy - p. 323 90. 12.70 Problem 12.70: Obtaining minimum diameter for given creep elongation, S-590 - p. 323 91. 12.71 Problem 12.71: Estimating the creep rupture lifetime for S-590 alloy - p. 325 92. 12.72 Problem 12.72: Obtaining creep parameters from creep data of a S-590 alloy - p. 325 93. 12.73 Problem 12.73: Estimating the activation energy for creep of the S-590 alloy - p. 325 94. 12.74 Problem 12.74: Computing the stress at a given creep rate for nickel alloy - p. 326 95. 12.75 Problem 12.75: Calculating the creep rate for an iron - p. 327 96. 12.76 Problem 12.76: Estimating temperature for specific creep rupture lifetime, S-590 - p. 327 97. 12.77 Problem 12.77: Explaining creep stages and regions along with formulation - p. 328 98. 12.78 Problem 12.78: Finding dynamic (absolute) viscosity in creeping rotating disc - p. 328 99. 12.79 Problem 12.79: Obtaining constitutive model for a viscoelasticity system - p. 329 100. 12.80 Problem 12.80: Obtaining response of a Zener model to an applied constant stress - p. 330 101. 12.81 Problem 12.81: Response of standard linear solid model to a stress excitation - p. 331 102. 12.82 Problem 12.82: Obtaining differential equations for standard fluids I and II - p. 332 103. 12.83 Problem 12.83: Response of standard fluid I model to applied constant stress - p. 333 104. 12.84 Problem 12.84: Obtaining critical time, stress and strain in creep buckling - p. 333 105. 12.85 Problem 12.85: Estimating Critical Time for Creep Buckling, Column 75S-T6/Al - p. 336 106. 12.86 Problem 12.86: Presenting the analogy between creep buckling and rupture time - p. 338 107. 12.87 Problem 12.87: Finding creep buckling time of column with a symmetric area - p. 339 108. 12.88 Problem 12.88: Getting the retightening time in the creep relaxation process - p. 341 109. 12.89 Problem 12.89: Creep stating of fire in structural steel work, refractory coating - p. 342 110. 12.90 Problem 12.90: Challenges about creep analysis of polymer matrix composites using viscoplastic model - p. 342 111. 12.91 Problem 12.91: Depicting linear/nonlinear elastic/viscoelastic solids’ behaviors - p. 344 112. 12.92 Problem 12.92: Drawing the creep long-term behavior, strain-time curve - p. 344 113. 12.93 Problem 12.93: Finding time dependent relation for four-element model - p. 345 114. 12.94 Problem 12.94: Getting rupture time and failure due to creep in polymers by KTF - p. 348 115. 12.95 Problem 12.95: Introducing formulations for effective stress by failure criterion - p. 349 116. 12.96 Problem 12.96: Getting dissipated energy rate for thermal fatigue in crept epoxy - p. 350 117. 12.97 Problem 12.97: Estimating the creep crack growth rate for AISI 4340 steel - p. 350 118. 12.98 Problem 12.98: Estimate the activation energy and related parameters in creep - p. 351 119. 12.99 Problem 12.99: Estimating allowable stress for power generating turbine, S-590 - p. 353 120. 12.100 Problem 12.100: analyzing creep elongation, relaxation and critical damage - p. 354 121. 12.101 Problem 12.101: Simulation between Collatz sequence and mechanical problems - p. 359 122. References - p. 362 123. Appendix A. Some mechanical equations and material properties - p. 365 124. Appendix B. Some mathematical relations - p. 387 125. Appendix C. Useful creep data for some alloys - p. 397 126. Index - p. 401
