Evolution equation of Lie-type for finite deformations, time-discrete integration, and incremental methods
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Publication:490093
DOI10.1007/s00707-014-1162-9zbMath1326.74005OpenAlexW2036045495MaRDI QIDQ490093
Publication date: 21 January 2015
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-014-1162-9
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Cites Work
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- Geometrical setting of solid mechanics
- Basic concepts of thermomechanics
- An introduction to Lie group integrators - basics, new developments and applications
- Lie groups and algebras with applications to physics, geometry, and mechanics
- Computational inelasticity
- High order Runge-Kutta methods on manifolds
- Mechanics of finite deformations
- On the construction of geometric integrators in the RKMK class
- Runge-Kutta methods in elastoplasticity
- Lie group methods for rigid body dynamics and time integration on manifolds
- Positive definite matrices
- Convergence of linearized backward Euler–Galerkin finite element methods for the time-dependent Ginzburg–Landau equations with temporal gauge
- Solving Ordinary Differential Equations I
- Explicit Magnus expansions for nonlinear equations
- Geometric Numerical Integration
- Riemannian geometry and geometric analysis
- Critical study of Newmark scheme on manifold of finite rotations
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