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A constitutive model for predicting shear modulus of metals using aluminum as the prototype

Hou Ri-Li Peng Jian-Xiang Jing Fu-Qian

A constitutive model for predicting shear modulus of metals using aluminum as the prototype

Hou Ri-Li, Peng Jian-Xiang, Jing Fu-Qian
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Publishing process
  • Received Date:  27 September 2008
  • Accepted Date:  16 March 2009
  • Published Online:  20 September 2009

A constitutive model for predicting shear modulus of metals using aluminum as the prototype

  • 1. (1)武汉理工大学理学院,武汉 430070;中国工程物理研究院流体物理研究所冲击波物理与爆轰波物理国家重点实验室,绵阳 621900;空军第一航空学院,信阳 464000; (2)中国工程物理研究院流体物理研究所冲击波物理与爆轰波物理国家重点实验室,绵阳 621900

Abstract: With a two-step approach,a pressure,P,and temperature,T,dependent constitutive model of shear modulus,G,applicable to metals was developed in this work. The goal of the first step is to find the relation of G with P along 0 K isotherm,i.e. the functional form of G1=G1(P,0 K),and the second one is to find the relation of G,starting from a given state of (P,0 K) with a value that was already determined in the first step,with T along the isobar of P,i.e. the functional form of G=G(P,T) or the constitutive model proposed by us. In both steps,results of supersonic measurement and first principles calculation were used. Aluminum,as a model material,was utilized to validate the rationality of this model. It is demonstrated that the predicted results of this model are in satisfactory agreement with the measured and numerically simulated G despite whether it evolves along shock compressed,isentropic,isothermal,or isobaric loci,thereby displaying the rationality and the universal nature of this constitutive model.

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