A mixed variational framework for the design of energy–momentum schemes inspired by the structure of polyconvex stored energy functions
A new approach to the design of energy–momentum (EM) consistent algorithms for
nonlinear elastodynamics is proposed. The underlying mixed variational formulation is …
nonlinear elastodynamics is proposed. The underlying mixed variational formulation is …
Non-isothermal energy–momentum time integrations with drilling degrees of freedom of composites with viscoelastic fiber bundles and curvature–twist stiffness
Abstract 3D fiber-reinforced composites demand for a special simulation technique, because
they consist of fiber bundles. Therefore, in the corresponding representative volume element …
they consist of fiber bundles. Therefore, in the corresponding representative volume element …
An energy momentum consistent integration scheme using a polyconvexity‐based framework for nonlinear thermo‐elastodynamics
M Franke, A Janz, M Schiebl… - International Journal for …, 2018 - Wiley Online Library
The present contribution provides a new approach to the design of energy momentum
consistent integration schemes in the field of nonlinear thermo‐elastodynamics. The method …
consistent integration schemes in the field of nonlinear thermo‐elastodynamics. The method …
An energy–momentum time integration scheme based on a convex multi-variable framework for non-linear electro-elastodynamics
This paper introduces a new one-step second order accurate energy–momentum (EM)
preserving time integrator for reversible electro-elastodynamics. The new scheme is shown …
preserving time integrator for reversible electro-elastodynamics. The new scheme is shown …
A mixed variational framework for the design of energy–momentum integration schemes based on convex multi-variable electro-elastodynamics
Abstract In Ortigosa et al.(2018), the authors presented a new family of time integrators for
large deformation electromechanics. In that paper, definition of appropriate algorithmic …
large deformation electromechanics. In that paper, definition of appropriate algorithmic …
Variational-based higher-order accurate energy–momentum schemes for thermo-viscoelastic fiber-reinforced continua
In this paper, new higher-order accurate energy–momentum schemes are presented, which
rely on a discrete mixed principle of virtual power. The schemes are designed for simulating …
rely on a discrete mixed principle of virtual power. The schemes are designed for simulating …
Variational-based locking-free energy–momentum schemes of higher-order for thermo-viscoelastic fiber-reinforced continua
Locking-free finite elements and energy–momentum time integration schemes are two of the
best-known algorithmic improvements of finite element methods. Both are developed since …
best-known algorithmic improvements of finite element methods. Both are developed since …
Energy-decaying and momentum-conserving schemes for transient simulations with mixed finite elements
M Lavrenčič, B Brank - Computer Methods in Applied Mechanics and …, 2021 - Elsevier
We present the four-field (of displacements, velocities, stresses and strains) and the three-
field (of displacements, velocities and stresses) mixed variational formulations for structural …
field (of displacements, velocities and stresses) mixed variational formulations for structural …
Structure-preserving time integration of non-isothermal finite viscoelastic continua related to variational formulations of continuum dynamics
A structure-preserving time integration scheme is a modified standard time step**
scheme, which fulfills the balance laws of a dynamical problem also in a discrete setting …
scheme, which fulfills the balance laws of a dynamical problem also in a discrete setting …
Structure‐preserving space‐time discretization of a mixed formulation for quasi‐incompressible large strain elasticity in principal stretches
In this paper, we propose an energy and momentum consistent time‐step** scheme for
nonlinear elastodynamics. The algorithm is based on a mixed Hu‐Washizu–type variational …
nonlinear elastodynamics. The algorithm is based on a mixed Hu‐Washizu–type variational …