Abstract
Most materials exhibit different tensile and compressive strains given the same stress applied in tension or compression. These materials are known as bimodular materials. An important model of bimodular materials is the criterion of positive-negative signs of principal stress proposed by Ambartsumyan. This model is mainly applicable to isotropic materials and deals with the principal stress state in a point. However, due to the inherent complexity of the constitutive relation, FEM based on iterative strategy and analytical methods based on a simplified mechanical model are required. In this paper, we review the basic assumptions of this model and its development, several innovative computational methods, and some important engineering applications. We also discuss the sequent key problems in this field.
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This paper was recommended for publication in revised form by Associate Editor Chongdu Cho
Jun-yi Sun received his M.E. degree in Chongqing University, China, in 1990. He is currently a teacher at College of Civil Engineering, Chongqing University. His teaching and research areas include civil engineering, bimodular problems in structural engineering, technique of bridge health monitoring and mechanical problems in solid films.
Hai-qiao Zhu is currently a postgraduate student at College of Civil Engineering, Chongqing University, China. He majors in structural engineering.
Xiao-ting He received her Ph.D. degree in Chongqing University, China, in 2007. She is currently a teacher at College of Civil Engineering, Chongqing University. Her teaching and research areas include elasticity, bimodular problems and structural large deformation.
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Sun, Jy., Zhu, Hq., Qin, Sh. et al. A review on the research of mechanical problems with different moduli in tension and compression. J Mech Sci Technol 24, 1845–1854 (2010). https://doi.org/10.1007/s12206-010-0601-3
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DOI: https://doi.org/10.1007/s12206-010-0601-3