ABSTRACT
Therefore, the following equation expresses the tensor of effective elastic moduli D∗:
where, Vm and VCNT are representatives of the volume fractions of matrix and CNTs phase, respectively. Also, Em and ECNT are the tensors of elastic moduli for each phase, I is the demonstrator of the fourthorder unit tensor and A is the partial concentration factor (εCNT =Aεm), where εCNT and εm are the strain matrices for each phase and A is calculated as follows:
S is the fourth-order Eshelby tensor (Eshelby and Eshelby, 1957), which is expressed as follows:
ν is Poisson’s ratio of matrix phase.
