Material design of anisotropic elastic cellular bodies with respect to contact problem

• Autorzy: Jasińska D. , Janus-Michalska M.
• Języki publikacji: PL

Abstrakty

EN

Two-dimensional contact problem formulated for anisotropic, elastic bodies is considered. As an example of anisotropic medium, the cellular material is taken. The idea of two-scale modeling is adopted for formulation of an equivalent continuum, on the basis of which elastic properties can be obtained. Typical cellular microstructures with various types of symmetries are considered. Special attention is paid to cell structures giving negative Poisson's ratio in some directions (reentrant cells). Application of the energy-based criterion for equivalent continuum gives macroscopic yield condition. Condition for the energy coefficient defined as a sum of weighted energies stored in elastic eigenstates ensures that the material works in elastic state. Unilateral frictional contact problem is analyzed using FK.M. Calculations are performed for rough contact of square block subjected to normal load. Numerical solutions show differences in deformation type and contact stress distributions for different types of microstructures of the analyzed medium. The study enables the optimal choice of material structure topology, which ensures the reduction of peak contact pressure and friction stress, and applicability of anisotropic material to the given problem.

Słowa kluczowe

PL

kontakt; tarcie; anizotropia; równanie Poissona

EN

contact; friction; cellular anisotropic materials; negative Poisson's ratio

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2008
• Tom: Vol. 56, iss. 3
• Strony: 201--225
• Opis fizyczny: Bibliogr. 13 poz., wykr.

Twórcy

autor

Jasińska D.

autor

Janus-Michalska M.

• Institute of Structural Mechanics Cracow University of Technology, Krakow, Poland

Bibliografia

• 1. ANSYS 10.0 manual
• 2. M. JANUS-MICHALSKA, Micromechanical model of auxetic cellular materials, submitti for publication in Archives of Metallurgy and Materials.
• 3. M. JANUS-MICHALSKA, Effective models describing elastic behaviour of cellular materti Archives of Metallurgy and Materials, 50, 3, 595-608, 2005.
• 4. N. KIKUCHI, J. T. ODEN, Contact problems in elasticity: a study of variational ineqalitiees and finite element methods, SIAM, Philadelphia 1988.
• 5. P. KORDZIKOWSKI, M. JANUS-MICHALSKA, R. B. P^CHERSKI, Specification of energy - based criterion of elastic limit states for cellular materials, Archives of Metallurgy and Maicnals, 50, 3, 621-634, 2005.(i. U.S. LAKES, Foam structures with, a negative Poisson's ratio, Science, 235, 1038 1040, 1987.
• 7. R. S. LAKES, Design considerations for materials with negative Poisson's ratios, Trans. ASME J. Mech., 115, 696-700, 1993.
• 8. D. W. OVERAKER, A. M. CUITINO, N. A. LANGRANA, Elastoplastic micromechani-cal modeling of two-dimensional im~egular convex and nonconvex (re-entrant) hexagonal foams, Transactions of ASME, 65, 1998.
• 9. A. SCALIA, Contact Problem for porous elastic half-plane, .). Elasticity, 60, 91 102, 2000.
• 10. E. STAVROULAKIS, Auxetic behavior: appearance and engineering applications, Physica Status Solidi, 3, 710-720, 2005.
• 11. G. SZEFER, D. KE.DZIOR, Contact of elastic bodies with negative poisson's ratio, Springer V., 2002.
• 12. Y. WANG, R. LAKES, A7ialytical parametric analysis of the contact problem of human buttocks and negative Poisson's ratio foam cushions, Int. J. Sol. Struc, 39, 4825-38, 2002.
• 13. J. RYCHLEWSKI, Unconventional approach to linear elasticity, Arch. Mech., 47, 119 171, 1995.