pub struct MandelNotation;Expand description
Mandel notation for symmetric second-order tensors.
Like Kelvin notation, off-diagonal components are scaled by √2 so that the Euclidean inner product of the 6-vectors equals the double contraction A:B of the original tensors. Index ordering: [11, 22, 33, 12, 23, 13].
Implementations§
Source§impl MandelNotation
impl MandelNotation
Sourcepub fn from_tensor2(t: &Tensor2) -> [f64; 6]
pub fn from_tensor2(t: &Tensor2) -> [f64; 6]
Convert a symmetric Tensor2 to its 6-component Mandel vector.
Normal components (indices 0..3) are unchanged. Shear components (indices 3..6) are multiplied by √2.
Sourcepub fn to_tensor2(v: &[f64; 6]) -> Tensor2
pub fn to_tensor2(v: &[f64; 6]) -> Tensor2
Convert a 6-component Mandel vector back to a Tensor2.
Shear components are divided by √2 and symmetrised.
Sourcepub fn double_contract(va: &[f64; 6], vb: &[f64; 6]) -> f64
pub fn double_contract(va: &[f64; 6], vb: &[f64; 6]) -> f64
Compute the double contraction A:B using Mandel vectors.
A:B = v_A · v_B (Euclidean dot product of the Mandel representations).
Auto Trait Implementations§
impl Freeze for MandelNotation
impl RefUnwindSafe for MandelNotation
impl Send for MandelNotation
impl Sync for MandelNotation
impl Unpin for MandelNotation
impl UnsafeUnpin for MandelNotation
impl UnwindSafe for MandelNotation
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Source§impl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere
T: ?Sized,
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Source§impl<SS, SP> SupersetOf<SS> for SPwhere
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impl<SS, SP> SupersetOf<SS> for SPwhere
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fn to_subset(&self) -> Option<SS>
The inverse inclusion map: attempts to construct
self from the equivalent element of its
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Checks if
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Use with care! Same as
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fn from_subset(element: &SS) -> SP
The inclusion map: converts
self to the equivalent element of its superset.