SavedAdd your journal

Journals / Turkish Journal of Engineering and Environmental Sciences / 2005 / Cilt: 29 - Sayı: 6

Computer Solutions of Plane Strain Axisymmetric Thermomechanical Problems

Ahmet N. ERASLAN
Hakan ARGEŞO
Pages
369–381
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It is shown that the thermoelostoplastic response of the structures considered here is affected significantly by the temperature dependency of the physical properties of the material; the effect of nonlinear strain hardening, however, is observed to be not as great as the latter.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A simple computational model is developed to estimate elastic, elastic-plastic, fully plastic, and residual stress states in generalized plane strain axisymmetric structures considering temperature dependent physical properties as well as nonlinear isotropic strain hardening.
📊
Key Findings & Data:Using the von Mises yield criterion, total deformation theory and a Swift-type nonlinear hardening law, a single nonlinear differential equation governing thermoelastoplastic behavior is obtained.
💡
Conclusion & Impact:It is shown that the thermoelostoplastic response of the structures considered here is affected significantly by the temperature dependency of the physical properties of the material; the effect of nonlinear strain hardening, however, is observed to be not as great as the latter.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Stress analysis · Thermoelastoplasticity · Residual stresses

Abstract

A simple computational model is developed to estimate elastic, elastic-plastic, fully plastic, and residual stress states in generalized plane strain axisymmetric structures considering temperature dependent physical properties as well as nonlinear isotropic strain hardening. Using the von Mises yield criterion, total deformation theory and a Swift-type nonlinear hardening law, a single nonlinear differential equation governing thermoelastoplastic behavior is obtained. A shooting technique using Newton iterations with numerically approximated tangents is used for the computer solution of the governing equation. Various numerical examples including plane strain and generalized plane strain problems for cylinders and tubes are handled. It is shown that the thermoelostoplastic response of the structures considered here is affected significantly by the temperature dependency of the physical properties of the material; the effect of nonlinear strain hardening, however, is observed to be not as great as the latter.

Özet

A simple computational model is developed to estimate elastic, elastic-plastic, fully plastic, and residual stress states in generalized plane strain axisymmetric structures considering temperature dependent physical properties as well as nonlinear isotropic strain hardening. Using the von Mises yield criterion, total deformation theory and a Swift-type nonlinear hardening law, a single nonlinear differential equation governing thermoelastoplastic behavior is obtained. A shooting technique using Newton iterations with numerically approximated tangents is used for the computer solution of the governing equation. Various numerical examples including plane strain and generalized plane strain problems for cylinders and tubes are handled. It is shown that the thermoelostoplastic response of the structures considered here is affected significantly by the temperature dependency of the physical properties of the material; the effect of nonlinear strain hardening, however, is observed to be not as great as the latter.

🔖

Cite This Article

ERASLAN, A. N., ARGEŞO, H. (2005). Computer Solutions of Plane Strain Axisymmetric Thermomechanical Problems. Turkish Journal of Engineering and Environmental Sciences, Cilt: 29 - Sayı: 6, 369–381. https://ajindex.com/articles/369162

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (15)

  1. Boley, B.A. and Weiner, J.H., Theory of Thermal Stresses, Wiley, New York, 1960.
  2. Chen, W.F. and Han, D.J., Plasticity for Structural Engineers, Springer, New York, 1988.
  3. Eraslan, A.N., ”Thermally Induced Deformations of Elastic-plastic Composite Tubes Subjected to a Nonuniform Heat Source”. Journal of Thermal Stresses 26, 167-193, 2003.
  4. Eraslan, A.N., ”Von Mises’ Yield Criterion and Non- linearly Hardening Rotating Shafts”. Acta Mechan- ica 168, 129-144, 2004.
  5. Eraslan, A.N. and Akis, T., ”On the Elastic-plastic Deformation of a Rotating Disk Subjected to a Ra- dial Temperature Gradient”. Mechanics Based De- sign of Structures and Machines 31, 529-561, 2003.
  6. Eraslan, A.N. and Argeso, H., ”On the Application of von Mises’ Yield Criterion to a Class of Plane Strain Thermal Stress Problems”. Turkish Journal of Engineering and Environmental Sciences 29, 113-, 2005a.
  7. Eraslan, A.N. and Argeso, H., ”A Nonlinear Shoot- ing Method Applied to Solid Mechanics: Part 2. Numerical Solution of a Plane Strain Model”. In- ternational Journal of Nonlinear Analysis and Phe- nomena 2, 31-42, 2005b.
  8. Eraslan, A.N. and Kartal, M.E., ”A Nonlinear Shooting Method Applied to Solid Mechanics: Part 1. Numerical Solution of a Plane Stress Model”. International Journal of Nonlinear Analysis and Phenomena 1, 27-40, 2004.
  9. Eraslan, A.N. and Orcan, Y., ”Computation of Transient Thermal Stresses in Elastic-Plastic Tubes: Effect of Coupling and Temperature Dependent Physical Properties”. Journal of Thermal Stresses, 559-572, 2002.
  10. Eraslan, A.N. and Orcan, Y., ”Thermoplastic Re- sponse of a Linearly Hardening Cylinder Subjected to Nonuniform Heat Source and Convective Bound- ary Condition”. Mechanics Based Design of Struc- tures and Machines 32, 133-164, 2004.
  11. Eraslan, A.N., Sener, E. and Argeso, H., ”Stress Dis- tributions in Energy Generating Two-layer Tubes Subjected to Free and Radially Constrained Bound- ary Conditions”. International Journal of Mechani- cal Sciences 45, 469-496, 2003.
  12. Hindmarsh, A.C., ”ODEPACK: A Systematized Collection of ODE Solvers”. In: Scientific Comput- ing (Stepleman RS, ed.) North Holland, Amster- dam, 1983.
  13. Johnson, W. and Mellor, P.B., Engineering Plastic- ity, Van Nostrand Reinhold, London, 1973.
  14. Orcan, Y., ”Thermal Stresses in a Heat Generating Elastic-plastic Cylinder with Free Ends”. Interna- tional Journal of Engineering Science 32, 883-898,
  15. Orcan, Y. and Eraslan, A.N., ”Thermal Stresses in Elastic-plastic Tubes with Temperature Depen- dent Mechanical an