Tensor Derivative (continuum Mechanics)
The derivatives of scalars, vectors, and second-order tensors with respect to second-order tensors are of considerable use in continuum mechanics. These derivatives are used in the theories of nonlinear elasticity and plasticity, particularly in the design of algorithms for numerical simulations.
The directional derivative provides a systematic way of finding these derivatives.
Read more about Tensor Derivative (continuum Mechanics): Derivatives With Respect To Vectors and Second-order Tensors, Gradient of A Tensor Field, Divergence of A Tensor Field, Curl of A Tensor Field, Derivative of The Determinant of A Second-order Tensor, Derivatives of The Invariants of A Second-order Tensor, Derivative of The Second-order Identity Tensor, Derivative of A Second-order Tensor With Respect To Itself, Derivative of The Inverse of A Second-order Tensor, Integration By Parts
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