Third order contraction

[miguelmaso]

Added third- and first-order contraction

[github-actions]

Benchmark Results (Julia v1)

Time benchmarks

	main	7edf5a4...	main / 7edf5a4...
Constitutive models/Visco-elastic Ψ	26.6 ± 17 μs	0.0401 ± 0.018 ms	0.664 ± 0.52
Constitutive models/Visco-elastic ∂Ψ∂F	0.0336 ± 0.017 ms	0.0332 ± 0.016 ms	1.01 ± 0.7
Constitutive models/Visco-elastic ∂∂Ψ∂FF	0.0692 ± 0.033 ms	0.0692 ± 0.032 ms	1 ± 0.67
Constitutive models/Visco-polyconvex Ψ	0.16 ± 0.01 μs	0.161 ± 0.01 μs	0.994 ± 0.088
Constitutive models/Visco-polyconvex ∂Ψ∂F	0.181 ± 0.001 μs	0.18 ± 0.001 μs	1.01 ± 0.0079
Constitutive models/Visco-polyconvex ∂∂Ψ∂FF	7.53 ± 5.9 μs	7.72 ± 5.9 μs	0.975 ± 1.1
Simulations/StaticMechanicalDirichlet	0.155 ± 0.021 s	0.145 ± 0.015 s	1.07 ± 0.19
Simulations/StaticMechanicalNeumann	0.131 ± 0.014 s	0.137 ± 0.015 s	0.96 ± 0.15
Simulations/ViscoElastic	13.2 s	13.2 s	1
Tensor algebra/Cofactor	0.08 ± 0.009 μs	0.11 ± 0.04 μs	0.727 ± 0.28
Tensor algebra/Det(A)Inv(A')	0.12 ± 0.011 μs	0.13 ± 0.09 μs	0.923 ± 0.64
Tensor algebra/IIsym	0.08 ± 0.02 μs	0.071 ± 0.01 μs	1.13 ± 0.32
Tensor algebra/push_forward_C_to_F	0.301 ± 0.01 μs	0.301 ± 0.011 μs	1 ± 0.049
Tensor algebra/×ᵢ⁴	0.07 ± 0.001 μs	0.07 ± 0.001 μs	1 ± 0.02
Tensor algebra/δδ_λ_2d	30 ± 0 ns	30 ± 0 ns	1 ± 0
Tensor algebra/δδ_μ_2d	30 ± 0 ns	30 ± 0 ns	1 ± 0
time_to_load	2.87 ± 0.077 s	2.77 ± 0.023 s	1.04 ± 0.029

Memory benchmarks

	main	7edf5a4...	main / 7edf5a4...
Constitutive models/Visco-elastic Ψ	0.542 k allocs: 0.0443 MB	0.542 k allocs: 0.0443 MB	1
Constitutive models/Visco-elastic ∂Ψ∂F	0.593 k allocs: 0.0492 MB	0.593 k allocs: 0.0492 MB	1
Constitutive models/Visco-elastic ∂∂Ψ∂FF	1.05 k allocs: 0.0853 MB	1.05 k allocs: 0.0853 MB	1
Constitutive models/Visco-polyconvex Ψ	0 allocs: 0 B	0 allocs: 0 B
Constitutive models/Visco-polyconvex ∂Ψ∂F	0 allocs: 0 B	0 allocs: 0 B
Constitutive models/Visco-polyconvex ∂∂Ψ∂FF	0.187 k allocs: 15.2 kB	0.187 k allocs: 15.2 kB	1
Simulations/StaticMechanicalDirichlet	1.51 M allocs: 0.108 GB	1.51 M allocs: 0.108 GB	1
Simulations/StaticMechanicalNeumann	1.48 M allocs: 0.0927 GB	1.48 M allocs: 0.0927 GB	1
Simulations/ViscoElastic	0.162 G allocs: 12.8 GB	0.162 G allocs: 12.8 GB	1
Tensor algebra/Cofactor	2 allocs: 0.156 kB	2 allocs: 0.156 kB	1
Tensor algebra/Det(A)Inv(A')	4 allocs: 0.25 kB	4 allocs: 0.25 kB	1
Tensor algebra/IIsym	1 allocs: 0.656 kB	1 allocs: 0.656 kB	1
Tensor algebra/push_forward_C_to_F	1 allocs: 0.656 kB	1 allocs: 0.656 kB	1
Tensor algebra/×ᵢ⁴	1 allocs: 0.656 kB	1 allocs: 0.656 kB	1
Tensor algebra/δδ_λ_2d	0 allocs: 0 B	0 allocs: 0 B
Tensor algebra/δδ_μ_2d	0 allocs: 0 B	0 allocs: 0 B
time_to_load	0.149 k allocs: 11.1 kB	0.149 k allocs: 11.1 kB	1