미소 개재물과 기공을 갖는 고체의 유효탄성계수에 대한 수치적 접근
A Numerical Approach to Effective Elastic Moduli of Solids with Microinclusions and Microvoids
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
For the analysis of solids containing a number of microinclusions or microvoids, in which the mechanical effect of each inclusion or void, a numerical approach is need to be developed to understand the mechanical behavior of damaged solids containing these defects. In this study, the simulation method using the natural element method is proposed for the analysis of effective elastic moduli. The mechanical effect of each inclusion or void is considered by controlling the material constants for Gaussian points. The relationship between area fraction of microinclusions or microvoids and effective elastic moduli is studied to verify the validity of the proposed method. The obtained results are in good agreement with the theoretical results such as differential method, self-consistent method, Mori-Tanaka method, as well as the numerical results by rigid body spring model.
Abstract
For the analysis of solids containing a number of microinclusions or microvoids, in which the mechanical effect of each inclusion or void, a numerical approach is need to be developed to understand the mechanical behavior of damaged solids containing these defects. In this study, the simulation method using the natural element method is proposed for the analysis of effective elastic moduli. The mechanical effect of each inclusion or void is considered by controlling the material constants for Gaussian points. The relationship between area fraction of microinclusions or microvoids and effective elastic moduli is studied to verify the validity of the proposed method. The obtained results are in good agreement with the theoretical results such as differential method, self-consistent method, Mori-Tanaka method, as well as the numerical results by rigid body spring model.
참고문헌 (13)
- K. Ishizaki, "Mechanically enhanced open porous materials by a HIP process", Journal of the Ceramic Society of Japan, 98(8), pp.533~540 (1990)
- E. Takegoshi, "A study on effective thermal conductivity of porous metals", Transactions of Japan Society of Mechanical Engineers(B), 58(547), pp.879~884 (1992)
- Y. Yajun, "A constitutive theory for the damage of materials with dynamic micro void evolution processes", JSME International Journal(A), 41(1), pp.61~78 (1998)
- Y. Yajun, "Deformation and damage characteristics of porous materials under different triaxialities", JSME International Journal(A), 41(1), pp.79~95 (1998)
- Y. Toi, "Threedimensional mesomechanical analysis of brittle solids containing microinclusions", Transactions of Japan Society of Mechanical Engineers(A), 61(582), pp.447~453 (1995)
- S. Nemat-Nasser, "Micromechanics and inhomogeneity", pp.297~320 (1990), Springer-Verlag
- F. C. S. Carvalho, "Experiments on effective elastic modulus of two-dimensional solids with cracks and holes", International Journal of Solids and Structures, 33(28), pp.4119~4130 (1996)
- S. Jun, "Elastic moduli of two-dimensional composites with sliding inclusions - A comparison of effective medium theories", International Journal of Solids and Structures, 30(18), pp.2501~2523 (1993)
- A. R. Day, "The elastic moduli of a sheet containing circular holes", Journal of the Mechanics and Physics of Solids, 40(5), pp.1031~1051 (1992)
- M. Kachanov, "Effective moduli of solids with cavities of various shapes", Applied Mechanics Reviews, 47(1), pp.S151~S174 (1994)
- R. Christensen, "On the range of validity of the Mori-Tanaka method", Journal of the Mechanics and Physics of Solids, 40(1), pp.69~73 (1992)
- N. Sukumar, "The natural element method in solid mechanics", International Journal for Numerical Methods in Engineering, 43(5), pp.839~887 (1998)
- J. Braun, "A numerical method for solving partial differential equations on highly irregular evolving grids", Nature, 376, pp.655~660 (1995)