In this paper,we discuss tensor functions by dyadic representation of tensor.Two different cases of scalar invariants and two different cases of tensor invari- ants are calculated.It is concluded that there are six in...In this paper,we discuss tensor functions by dyadic representation of tensor.Two different cases of scalar invariants and two different cases of tensor invari- ants are calculated.It is concluded that there are six independent scale invariants for a symmetrical tensor and an antisymmetrical tensor,and there are twelve invariants for two symmetrical tensors and an antisymmetrical tensor.And we present a new list of tensor invariants for the tensor-valued isotropic function.展开更多
基金The project supported by the Special Funds for Major State Basic Research Project "Nonlinear Science"the National Basic Research Project "The Several Key Problems of Fluid and Aerodynamics"
文摘In this paper,we discuss tensor functions by dyadic representation of tensor.Two different cases of scalar invariants and two different cases of tensor invari- ants are calculated.It is concluded that there are six independent scale invariants for a symmetrical tensor and an antisymmetrical tensor,and there are twelve invariants for two symmetrical tensors and an antisymmetrical tensor.And we present a new list of tensor invariants for the tensor-valued isotropic function.
