Analysis and design of thermo-mechanical interfaces

• Autorzy: Dems K. , Mroz Z.
• Języki publikacji: EN

Abstrakty

EN

An elastic structure subjected to thermal and mechanical loading with prescribed external boundary and varying internal interface is considered. The different thermal and mechanical nature of this interface is discussed, since the interface form and its properties affect strongly the structural response. The first-order sensitivities of an arbitrary thermal and mechanical behavioral functional with respect to shape and material properties of the interface are derived using the direct or adjoint approaches. Next the relevant optimality conditions are formulated. Some examples illustrate the applicability of proposed approach to control the structural response due to applied thermal and mechanical loads.

Słowa kluczowe

EN

multiphase structures; sensitivity analysis; optimization; heat transfer; thermo-elasticity

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2012
• Tom: Vol. 60, nr 2
• Strony: 205--213
• Opis fizyczny: Bibliogr. 14 poz., rys., tab.

Twórcy

autor

Dems K.

autor

Mroz Z.

• Department of Technical Mechanics and Computer Engineering, Łódź Technical University, 116 Żeromskiego St., 90-924 Łódź, Poland,

Bibliografia

• [1] K. Dems, “Sensitivity analysis in thermal problems – II: structure shape variation”, J. Thermal Stresses 10, 1–16 (1987).
• [2] K. Dems and Z. Mróz, “Variational approach to sensitivity analysis in thermoelasticity”, J. Thermal Stresses 10, 283–306 (1987).
• [3] K. Dems and Z. Mróz, “Optimal design of rib-stiffeners in disks and plates”, Int. J. Solids Struct. 25, 973–998 (1989).
• [4] K. Dems and Z. Mróz, “Shape sensitivity analysis and optimal design of disks and plates with strong discontinuities of kinematic fields”, Int. J. Solids Struct. 29, 437–463 (1992).
• [5] Z. Mróz and K. Dems, “Discrete and continuous reinforcement of materials”, in: Optimal Design with Advanced Materials, ed. P. Pedersen, Elsevier, Amsterdam, 1993.
• [6] K. Dems, R. Korycki, and B. Rousselet, “Application of first- and second-order sensitivities in domain optimization for steady conduction problem”, J. Thermal Stresses 20, 697–728 (1997).
• [7] K. Dems and Z. Mróz, “Sensitivity analysis and optimal design of external boundaries and interfaces for heat conduction systems”, J. Thermal Stresses 21, 461–488 (1998).
• [8] K. Dems and B. Rousselet , “Sensitivity analysis for transient heat conduction in a solid body – Part I: external boundary modification”, Structural Optimization 17, 36–45 (1999), Part II: interface modification, Structural Optimization 17, 46–54 (1999).
• [9] K. Dems and Z. Mróz, “Optimization of thermo-mechanical interfaces”, Proc. 3rd ISSMO/UBCAD/UB/AIAA World Congress on Structural and Multidisciplinary Optimization 1, CD-ROM (1999).
• [10] M.E. Gurtin, “Multiphase thermomechanics with interfacial structure. 1. Heat conduction and the capillary balance law”, Arch. Rational Mech. Anal. 104, 195–221 (1988).
• [11] M.E. Gurtin, “Multiphase mechanics with interfacial structure. Toward a non-equilibrium thermomechanics of two phase materials”, Arch. Rational Mech. Anal. 100, 275–312 (1988).
• [12] S. Angenent and M. E. Gurtin, “Multiphase thermomechanics with interfacial structure. 2. Evolution of an isothermal interface”, Arch. Rational Mech. Anal. 108, 323–391 (1989).
• [13] T. Furukawa, M. Nakanishi, and M. Miyamoto, “Transient thermoelastic analysis for two-dimensional dissimilar materials by the BEM”, J. Thermal Stresses 23, 143–168 (2000).
• [14] J. Ivanova, V. Valeva, and Z. Mróz, “Interphase model for a multilayer structure applied in heat conduction problems”, J. Theoret. Appl. Mechanics 34, 15–30 (2005).