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The G-Based Jordan Algebra And Lie Algebra With Application To The Model Of Visco-Elastoplasticity, Chein-Shan Liu
The G-Based Jordan Algebra And Lie Algebra With Application To The Model Of Visco-Elastoplasticity, Chein-Shan Liu
Journal of Marine Science and Technology
By a matrix representation the g-based Jordan algebra [1] is proved to form a g-based Lie algebra under the commutator product. Then we derive a new dynamical system based on the composition of the g-based Jordan and Lie algebras, which possesses internal symmetry group DSOo(n,1), and its projection PDSOo(n,1). Utilizing this concept we obtain a linear representation of a constitutive model of visco-elastoplasticity with large deformation. The irreducible representation in the vector space admits of the projective dilation proper orthochronous Lorentz group PDSOo(5,1) in the visco-elastoplastic phase and the dilation special Euclidean group DSE(5) in the viscoelastic phase. The input …