Reciprocal mass matrices and a feasible time step estimator for finite elements with Allman's rotations
DOI10.1002/NME.6583zbMATH Open1548.74911MaRDI QIDQ6553304
Publication date: 11 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
explicit dynamicsreciprocal mass matrixAllman's rotationsFan's boundGershgorin's boundOstrowski's boundtime step estimator
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- Title not available (Why is that?)
- On drilling degrees of freedom
- Note on circular disks containing the eigenvalues of a matrix
- Selective mass scaling for thin walled structures modeled with tri-linear solid elements
- A triangular membrane element with rotational degrees of freedom
- A method for the automatic evaluation of the dynamic relaxation parameters
- A study of optimal membrane triangles with drilling freedoms.
- A survey of parametrized variational principles and applications to computational mechanics
- Variationally consistent inertia templates for B-spline- and NURBS-based FEM: inertia scaling and customization
- Local and global strategies for optimal selective mass scaling
- Nonlinear finite elements for continua and structures
- Fast sparse matrix multiplication
- Lumped mass finite element implementation of continuum theories with micro-inertia
- Direct and sparse construction of consistent inverse mass matrices: general variational formulation and application to selective mass scaling
- Static and dynamic convergence studies of a four-noded membrane finite element with rotational degrees of freedom based on displacement superposition
- A compatible triangular element including vertex rotations for plane elasticity analysis
- A robust quadrilateral membrane finite element with drilling degrees of freedom
- A compendium of FEM integration formulas for symbolic work
- A quadrilateral finite element including vertex rotations for plane elasticity analysis
- Finite element formulation by nested interpolations: Application to the drilling freedom problem
- An efficient quadrilateral plane element with drilling degrees of freedom using orthogonal stress modes
- Solid elements with rotational degrees of freedom: Part 1—hexahedron elements
- Solid elements with rotational degrees of freedom: Part II—tetrahedron elements
- Two Fast Algorithms for Sparse Matrices: Multiplication and Permuted Transposition
- Implementation of a flat facet shell finite element for applications in structural dynamics
- Hybrid stress tetrahedral elements with Allman's rotational D.O.F.s
- A plane hybrid element with rotational d.o.f. and adjustable stiffness
- Dynamic analysis and drilling degrees of freedom
- A class of mixed assumed strain methods and the method of incompatible modes
- Selective mass scaling for explicit finite element analyses
- Iterative solution technique in selective mass scaling
- Large-step explicit time integration via mass matrix tailoring
- Stability of an explicit high-order spectral element method for acoustics in heterogeneous media based on local element stability criteria
- Inverse mass matrix for isogeometric explicit transient analysis via the method of localized Lagrange multipliers
- Inverse mass matrix via the method of localized Lagrange multipliers
- A mixed tetrahedral element with nodal rotations for large-displacement analysis of inelastic structures
Related Items (2)
This page was built for publication: Reciprocal mass matrices and a feasible time step estimator for finite elements with Allman's rotations
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6553304)
