A study of fundamental damage mechanic approaches in ductile metals and new biaxial test
Main Article Content
Abstract
This paper deals with the studies of damage behaviours and damage mechanics in ductile metals in recent research areas, including appropriate specimens and suitable experiment systems for the damage mechanics studying. The ductile metals are commonly used in structural components, automobile industries and aerospace industries. Hence, these materials experience some stress-states from external factors in various forms. Therefore, understanding of the material behaviour under the occured stress-state is very important for designing, particularly for the damage behaviours. This study presents following conclusions: 1) the ductile damage depends mainly on a stress triaxiality and a Lode-parameter 2) the frequently used damage approaches for research in the ductile damage are GLD damage model and CDM damage model and 3) the biaxial specimens under the biaxial test system with the DIC-strain-measurement is suitable for studying in a very small damage region.
Article Details
Copyright of all articles published is owned by CRMA Journal.
References
พัฒน์วิชัยโชติ ว. and นุตยะสกุล ณ., “การทดสอบแปเหล็กขึ้นรูปเย็นลักษณะรูปหมวกในโครงหลังคาเพื่อหาความสามารถในการรับน้ำหนัก”, Crma. J., vol. 10, no. 1, pp. 106-112, May 2012.
เอี่ยมละออ พ., นุตยะสกุล ณ., and พัฒน์วิชัยโชติว., “การทดสอบอะเสของหลังคาเหล็กขึ้นรูปเย็นที่ใช้เหล็กรูปตัวซีสองตัวประกอบกันเพื่อใช้ในอาคารที่สามารถก่อสร้างได้รวดเร็วในภารกิจทางการทหาร”, Crma. J., vol. 9, no. 1, pp. 23-31, May 2011.
W. Hiranmarn, P. Chomcheun and N. Nuttayasakul, "Experiments on Cold-Formed Steel Lipped Channel Columns with End-Track in Compression," CRMA Journal, vol. 12, pp. 11 - 19, 2014.
I. Barsoum, J. Faleskog and S. Pingle, "The Influence of the Lode Parameter on Ductile Failure Strian in Steel," Procedia Engineering, pp. 69-75, 2011.
S. Gerke, M. Zistl, M. Schmidt and M. Brünig, "Damage and fracture of ductile sheet metal: New biaxially loaded specimens for material parameter identification," Procedia Structural Integrity 13, pp. 39-44, 2018.
M. Brünig, D. Albrecht and S. Gerke, "Numerical analyses of stress-triaxiality-dependent inelastic deformation behavior of aluminum alloys," International Journal of Damage Mechanic, pp. 299-317, 2003.
K. Danas and P. Ponte Castaneda, "Influence of the lode parameter and the stress triaxility on the failure of elasto-plastic porous materials," International Journal of Solids and Strutures, pp. 1325-1342, 2012.
D. Gross and T. Seelig, Bruchmechanik mit einer Einfuehrung in die Mikromechanik, Berlin Heidelberg: Springer-Verlag, 2007.
P. Kattan and G. Voyiadjis, Damage Mechanics with Finite Elements, Berlin Heidelberg: Springer-Verlag, 2002.
A. Gurson, "Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part i - Yield Criteria and Flow Rules for Porous Ductile Media," ASME Journal of Engineering Materials and Technology, no. 99, pp. 2-15, 1977.
A. Needleman and V. Tvergaard, "An analysis of ductile rupture in notched bars," Journal of the Mechanics and Physics of Solids, pp. 461-490, 1984.
Y. Bao and T. Wiezbicki, “On the cut-off value of the negative triaxiality for fracture,” Engineering Fracture Mechanics, pp. 1049-1069, 2004.
X. Gao and J. Kim, "Modeling of ductile fracture: Significance of void coalescence," International Journal of Solids and Structures, no. 43, pp. 6277-6293, 2006.
K. Zhang, J. Bai and D. Francois, "Numerical analysis of the influence of the Lode parameter on void growth," International Journal of Solids and Structures, no. 38, pp. 5847-5856, 2001.
M. Brünig, S. Gerke and V. Hagenbrock, "Micro-mechanical studies on the effect of the stress triaxiality and the Lode parameter on ductile damage," International Journal of Plasticity, no. 50, pp. 49-65, 2013.
L. Driemeier, M. Brünig, G. Micheli and M. Alves, "Experiments on stress-triaxiality dependence of material behaviour of aluminum alloys," Mechanics of Materials, no. 42, pp. 207-217, 2010.
M. Brünig, S. Gerke and M. Schmidt, “Damage and failure at negative stress triaxialities: Experiments, modeling and numerical simulations,” International Journal of Plasticity, pp. 70-82, 2018.
M. Brünig, O. Chyra, D. Albrecht, L. Driemeier and M. Alves, “A ductile damage criterion at various stress triaxialities,” International Journal of Plasticity, pp. 1731-1755, 2008.
M. Brünig, S. Gerke and D. Brenner, “New 2D-Experiments and Numerical Simulations on Stress-State-Dependence of Ductile Damage and Failure,” Procedia Materials Science, pp. 177-182, 2014.
M. Gologanu, J.-B. Leblond, G. Perrin and J. Devaux, "Recent extensions of Gurson's model for porous ductile metals," in Continuum Micromechanics, CISM Courses and Lectures no.377, New York, Springer, 1997, pp. 61-130.
M. Gologanu, J.-B. Leblond, G. Perrin and J. Devaux, “Theoretical models for void coalescence in porous ductile solid. I. Coalescence "in layers",” International Journal of Solids and Structures, pp. 5581-5594, 2001.
T. Pardoen and J. Hutchinson, "An extent model for void growth and coalescence," Journal of the Mechanics and Physics of Solids, no. 48, pp. 2467-2512, 2000.
M. Gologanu, J.-B. Leblond, G. Perrin and J. Devaux, "Theoretical models for void coalescence in porous ductile solids. II. Coalescence “in columns”," International Journal of Solids and Structures, no. 38, pp. 5595-5604, 2001.
X. Gao, T. Zhang, M. Hayden and C. Roe, "Effect of the stress state on the plasticity and ductile failure of an aluminum 5083 alloy," International Journal of Plasticity, no. 25, pp. 2366-2382, 2009.
X. Gao, G. Zhang and C. Roe, "A Study on the Effect of the Stress State on Ductile Fracture," International Journal of Damage Mechanics, no. 19, pp. 75-94, 2010.
S. Keralavarma and A. A. Benzerga, "A constitutive model for plastically anisotropic solids with non-spherical voids," Journal of the Mechanics and Physics of Solids, no. 58, pp. 874-901, 2010.
N. Bonora, D. Gentile and A. N. G. Pirondi, “Ductile damage evolution under triaxial statte of stress theory and experiments,” International Journal of Plasticity, pp. 981-1007, 2005.
M. Brünig, D. Brenner and S. Gerke, "Stress state dependence of ductile damage and fructure behavior: Experiment and numerical simulation," Engineering Fracture Mechanics, pp. 152-169, 2015.
S. Gerke, P. Adulyasak and M. Brünig, "New biaxially loaded specimens for the analysis of damage and fracture in sheet metals," International journal of Solids and Structures, pp. 209-218, 2017.
Q. Yin, C. Soyarslan, K. Isik and A. Tekkaya, " A grooved in-plane torsion test for the investigation of shear fracture in sheet materials," International Journal of Solids and Structures, no. 66, pp. 121-132, 2015.
M. Arcan, Z. Hashin and A. Voloshin, "A method to produce uniform plane-stress states with applications to fiber-reinforced materials," Experimental Mechanics, no. 18, pp. 141-146, 1978.
M. Brünig, S. Gerke and M. Schmidt, "Biaxial Experiments and Numerical Simulations on Damage and Fracture Mechanisms in Ductile Metals at Diffent Loading Conditions," Procedia Structural Integrity, no. 2, pp. 3109-3116, 2016.
A. Kao, H. Kuhn, O. Richmond and W. Spitzig, "Tensile fracture and fractographic analysis of 1045 spheroidized steel under," J Mater Res, no. 5, p. 83–91, 1990.
M. Zistl, S. Gerke and M. Brünig, "Biaxial experiments on the effect of non-proportional loading paths on dagame and fracture behavior of ductile metals," Procedia Structural Integrity, no. 13, pp. 57-62, 2018.
S. Gerke, M. Zistl, A. Bhardwaj and M. Brünig, "Experiments with the X0-specimen on the effect of non-proportional loading paths on damage and fracture mechanisms in alluminum alloys," International Journal of Solids and Structures, no. 163, pp. 157-169, 2019.
M. Brünig, S. Gerke and M. Zistl, "Experiments and numerical simulations with the H-specimen on damage and fracture of ductile metals under non proportional loading paths," Engineering Fracture Mechanics, no. 217, p. 106531, 2019.