Acronyms
Operators
_
W
first-order time derivative, or velocity
€
W
second-order time derivative, or acceleration
W ;a
spatial derivative with respect to H
a
W ja
covariant derivative with respect to H
a
dW
variational operator
DW incremental operator
exp
exponential operator
rank rank
W
T
transposition
W
À1
inverse
k k
Euclidean norm
j j
absolute value
Á
scalar product, or dot product
Â
vector product
tensor product
½
matrix
fg
vector
W
quantities in the deformed configuration
W
^
quantities in the material coordinate system
c W
normalized quantities
Symbols
X
i
Cartesian coordinate system
H
i
curvilinear coordinate system
xiii
Operators
_
W
first-order time derivative, or velocity
€
W
second-order time derivative, or acceleration
W ;a
spatial derivative with respect to H
a
W ja
covariant derivative with respect to H
a
dW
variational operator
DW incremental operator
exp
exponential operator
rank rank
W
T
transposition
W
À1
inverse
k k
Euclidean norm
j j
absolute value
Á
scalar product, or dot product
Â
vector product
tensor product
½
matrix
fg
vector
W
quantities in the deformed configuration
W
^
quantities in the material coordinate system
c W
normalized quantities
Symbols
X
i
Cartesian coordinate system
H
i
curvilinear coordinate system
xiii
