본 연구에서는 탄.소.점성 구성모델을 비교적 간단한 수학적 합성유도방식에 기초하여 제안하였다. 이를 위하여 비등방성 modified Cam-Clay model을 일반응력공간으로 확장시켰으며generalized viscous theory를 단순화하여 각각 소성 및 점성의 구성관계로 활용하였다. Damage 원리를 구성모델에 추가하였으며, 모든 식의 변형 및 개발은 모델정수의 수를 감소시키는 원칙에 입각하여 수행하였다. 개발된 구성모델을 활용하여 점성토의 크리프거동을 예측하였으며 이를 실험결과와 비교분석하였다. 예측된 결과는 크리프파괴의 경우를 포함한 실험결과와 비교적 양호하게 일치하는 결과를 보여주었다.
An elastic-plastic-viscous constitutive model was proposed based on a simple formulation scheme. The anisotropic modified Cam-Clay model was extended for the general stress space for the plastic simulation. The generalized viscous theory was simplified and used for the viscous constitutive part. A damage law was incoporated into the proposed constitutive model. The mathematical formulation and development of the model were performed from the point of view that fewer parameters be better employed. The creep behaviors with or without creep rupture were predicted using the developed model for cohesive soils. The model predictions were favorably compared with the experimental results including the undrained creep rupture, which is an important observed phenomenon for cohesive soils. Despite the simplicity of the constitutive model, it performs well as long as the time to failure ratio of the creep rupture tests is within the same order of magnitude.
AI-Shannrani, M. A. and Sture, S. (1994), 'Characterization of Time dependent Behavior of Anisotropic Cohesive Soils', Computer Methods and Advances in Geomechanics, Siriwardane and Zaman (eds.) pp.505-511
Vaid, Y. P. and Campanella, R. G. (1977), 'Time-dependent Behavior of Undrained Clay', J. of Geotechnical Engineering, No. GT 7, pp.693-709
Vyalov, S. S. (1986), Rheological Fundamentals of Soil Mechanics, Elsevier Science Publishing Company Inc., New York
Aubry, D., Kodaissi, E. and Meimon, E., A. (1985), 'Viscoplastic Constitutive Equations for Clays including Damage Law', Proc. 5th Int. Conf. Numerical Methods in Geomechanics, Vol.1, pp.421-428
Bonaparte, R. (1981), A Time-dependent Constitutive Model for Cohesive Soils, Ph. D. Dissertation, Univ. of California at Berkeley
Borja, R. I. (1984), Finite Element Analysis of the Time-dependent Behavior of Soft Clays, Ph. D. Dissertation, Stanford Univ
Dafalias, Y. G. (1982), 'Bounding Surface Elastoplasticity-Viscoplasticity for Particulate Cohesive Media', Proc. IUTAM Symposium on Deformation and Failure of Granular Materials, P. A. Vermeer and H. J. Luger (eds.), A. A. Balkema, Publishers, Rotterdam, pp.97-107
Jenson, R. P., Plesha M. E., Edil, T. B., Bosscher P. J., and Kahla, N. B. (2001), 'DEM Simulation of Particle Damage in Granular Media', Int. J. of Geomechanics, pp.21-39
Matsui, T. and Abe, N.(1988), 'Verification of Elasto-viscoplastic Model of Normally Consolidated Clays in Undrained Creep', Pro. 6th Int. Conf. of Numerical Methods in Geomechanics, Vol.1, pp.453-459.
Murayama, S., Kurihara, N. and Sekiguch, H. (1970), On Creep Rupture of Normally Consolidated Clays, Annuals, Disaster Pre-vention Research Institute, Kyoto University, No. 13B, pp. 525-541
Singh, A. and Mitchell, J. K. (1968), 'General Stress-Strain-Time Function for Soils', J. of Soil Mechanics and Foundation, Vol. 94, No.SMI, pp.21-46
de Sciarra F. M. (1997), 'General Theory of Damage Elastoplastic Models', J. of Engineering Mechanics, Vol.123, No.10, pp. 1003-1011
Perzyna, P. (1966), 'Fundamental Problems in Viscoplasticity', Advances in Applied Mechanics, Vol.9, pp.243-377
Chiarelli, A. S., Shao, J. F., and Hoteit, N. (2003), 'Modeling of Elastoplastic Damage Behavior of a Claystone', Int. J. of Plasticity, Month. 1, pp.23-45
Kachanov, L. M. (1967), The Theory of Creep : Part I., National Lending Library for Science and Technology, Boston
Sekiguchi, H. (1984), 'Theory of Undrained Creep Rupture of Normally Consolidated Clay Based on Elasto- Viscoplasticity', Soils and Foundations, Vol.24, No.1, pp.129-147
Dafalias, Y. F. (1987), An Anisotropic Critical State Clay Plasticity Model. Constitutive Laws for Engineering Materials: Theory and Applications, Elsevier Science Publishing Co. Inc., pp. 513-521
Regel, V. R., Slutsker, A. I. and Tomashevsky, E. K. (1974), Kinetics Nature of Strength in Solid Bodies, Nauka, Moscow
이 논문을 인용한 문헌 (1)
Bong, Tae-Ho ; Son, Young-Hwan ; Kim, Seong-Pil ; Heo, Jun ; Chang, Pyoung-Wuck 2009. "Creep Characteristics of Weathered Soils and Application of Singh-Mitchell's Creep Formula" 한국농공학회논문집 = Journal of the Korean Society of Agricultural Engineers, 51(6): 69~76