Added 3rd- 2nd-order tensor contraction

[miguelmaso]

No description provided.

[github-actions]

Benchmark Results (Julia v1)

Time benchmarks

	main	03fd681...	main / 03fd681...
Constitutive models/Visco-elastic Ψ	28.2 ± 19 μs	28.4 ± 19 μs	0.994 ± 0.94
Constitutive models/Visco-elastic ∂Ψ∂F	0.0338 ± 0.016 ms	0.0339 ± 0.017 ms	0.996 ± 0.69
Constitutive models/Visco-elastic ∂∂Ψ∂FF	0.0681 ± 0.037 ms	0.0674 ± 0.035 ms	1.01 ± 0.76
Constitutive models/Visco-polyconvex Ψ	0.18 ± 0.001 μs	0.18 ± 0.001 μs	1 ± 0.0079
Constitutive models/Visco-polyconvex ∂Ψ∂F	0.19 ± 0.001 μs	0.19 ± 0.001 μs	1 ± 0.0074
Constitutive models/Visco-polyconvex ∂∂Ψ∂FF	8.21 ± 6.8 μs	8.25 ± 6.8 μs	0.995 ± 1.2
Simulations/StaticMechanicalDirichlet	0.136 ± 0.01 s	0.136 ± 0.0089 s	1 ± 0.099
Simulations/StaticMechanicalNeumann	0.118 ± 0.016 s	0.118 ± 0.017 s	1.01 ± 0.2
Simulations/ViscoElastic	12.9 s	12.8 s	1.01
Tensor algebra/Cofactor	0.08 ± 0.001 μs	0.08 ± 0.001 μs	1 ± 0.018
Tensor algebra/Det(A)Inv(A')	0.111 ± 0.011 μs	0.12 ± 0.011 μs	0.925 ± 0.12
Tensor algebra/IIsym	0.07 ± 0.001 μs	0.07 ± 0 μs	1 ± 0.014
Tensor algebra/push_forward_C_to_F	0.32 ± 0.079 μs	0.241 ± 0.01 μs	1.33 ± 0.33
Tensor algebra/×ᵢ⁴	0.07 ± 0 μs	0.07 ± 0.01 μs	1 ± 0.14
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	2.68 ± 0.036 s	2.65 ± 0.025 s	1.01 ± 0.017

Memory benchmarks

	main	03fd681...	main / 03fd681...
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