TensND.jl

Julia
Tensors
Linear Algebra

Julia package for structured tensor types with built-in symmetries. Isotropic, Walpole, orthotropic, and general tensors with ForwardDiff support.

TensND.jl provides structured tensor types for multi-linear algebra with built-in symmetries and automatic index conventions (base-1), fully compatible with automatic differentiation via ForwardDiff.

Key features

  • Isotropic tensors (TensISO) — fully symmetric with minimal storage
  • Walpole basis (TensWalpole) — standard orthonormal basis for symmetric 4th-order tensors
  • Orthotropic tensors (TensOrtho) — material symmetry classes
  • General tensors — flexible indexed storage
  • ForwardDiff-compatible — all operations support dual numbers for AD
  • Base-1 indexing — natural tensor index convention (e₁, e₂, …)

Installation

using Pkg
Pkg.Registry.add(RegistrySpec(url="https://codeberg.org/MicroPoroChemoMechanics/MPCM-Registry"))
Pkg.add("TensND")