Open AccessA constitutive model for predicting shear modulus of metals using aluminum as the prototype
Author(s) -
Hou Ri-Li,
Peng Jianxiang,
Jing Fu-Qian
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.6413
Subject(s) - constitutive equation , isobaric process , isobar , bulk modulus , isentropic process , equation of state , shear modulus , thermodynamics , materials science , physics , finite element method , nucleon , atomic physics
With a two-step approacha pressurePand temperatureTdependent constitutive model of shear modulusGapplicable 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 isothermi.e. the functional form of G1=G1P0 Kand the second one is to find the relation of Gstarting from a given state of P0 K with a value that was already determined in the first stepwith T along the isobar of Pi.e. the functional form of G=GPT or the constitutive model proposed by us. In both stepsresults of supersonic measurement and first principles calculation were used. Aluminumas a model materialwas 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 compressedisentropicisothermalor isobaric locithereby displaying the rationality and the universal nature of this constitutive model.