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linear-elasticity

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LETO is a new hybrid Lagrangian-Eulerian method for topology optimization. It transfers density information from movable Lagrangian carriers to a fixed set of Eulerian quadratures and solves force equilibrium with MPM. With carrier particles as design variables, LETO reparameterizes the Eulerian solution space in a Lagrangian view.

  • Updated Mar 11, 2020
  • MATLAB

Finite Element Analysis of 1D solid mechanics problems implemented from scratch in Python/NumPy. Covers constitutive tensor symmetry, weak-form derivation, linear shape functions, Newton-Cotes quadrature, global stiffness assembly, Dirichlet/Neumann boundary conditions, and element-wise stress recovery across multiple loading cases.

  • Updated Mar 22, 2026
  • Jupyter Notebook

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