exponential.md

Exponential Map and Derivative

Description: Exponential Map and Derivative of a rank 2 Tensor according to Miehe(2002): Homogenization of inelastic solid materials at (nite strains based on incremental minimization principles. Application to the texture analysis of polycrystals.

Exponential Map

Property	Value
Result	Tensor-valued function
Data Types	Tensor2, Tensor2s

Derivative of Exponential Map

Property	Value
Result	Tensor-valued function
Data Types	---
Input	Tensor2, Tensor2s
Output	Tensor4, Tensor4s

Example

type(Tensor2) :: C, expC
type(Tensor4) :: d_expC
! type(Tensor2s) :: C, expC
! type(Tensor4s) :: d_expC

expC = exp(C)
d_expC = derivative_exp(C)