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Recent progress in adaptive multiscale molecular dynamics simulations of soft matter
Understanding mesoscopic phenomena in terms of the fundamental motions of atoms and
electrons poses a severe challenge for molecular simulation. This challenge is being met by …
electrons poses a severe challenge for molecular simulation. This challenge is being met by …
A multiscale multi-permeability poroplasticity model linked by recursive homogenizations and deep learning
Many geological materials, such as shale, mudstone, carbonate rock, limestone and rock
salt are multi-porosity porous media in which pores of different scales may co-exist in the …
salt are multi-porosity porous media in which pores of different scales may co-exist in the …
[PDF][PDF] Advances in discrete element method applied to soil, rock and concrete mechanics
ABSTRACT The use of Discrete Element Methods (DEM) to investigate mechanical
properties of geomaterials is growing fast and their applications in geotechnics have …
properties of geomaterials is growing fast and their applications in geotechnics have …
Ghosts and machines: regularized variational methods for interactive simulations of multibodies with dry frictional contacts
C Lacoursiere - 2007 - diva-portal.org
A time-discrete formulation of the variational principle of mechanics is used to provide a
consistent theoretical framework for the construction and analysis of low order integration …
consistent theoretical framework for the construction and analysis of low order integration …
Discrete geometric optimal control on Lie groups
We consider the optimal control of mechanical systems on Lie groups and develop
numerical methods that exploit the structure of the state space and preserve the system …
numerical methods that exploit the structure of the state space and preserve the system …
Review of the exponential and Cayley map on SE (3) as relevant for Lie group integration of the generalized Poisson equation and flexible multibody systems
The exponential and Cayley maps on SE (3) are the prevailing coordinate maps used in Lie
group integration schemes for rigid body and flexible body systems. Such geometric …
group integration schemes for rigid body and flexible body systems. Such geometric …
Screw and Lie group theory in multibody dynamics: recursive algorithms and equations of motion of tree-topology systems
Screw and Lie group theory allows for user-friendly modeling of multibody systems (MBS),
and at the same they give rise to computationally efficient recursive algorithms. The inherent …
and at the same they give rise to computationally efficient recursive algorithms. The inherent …
Integrating rotations using nonunit quaternions
In this letter, we propose and demonstrate a method for integration of rotations using nonunit
quaternions. Unit quaternions are commonly used to represent rotation, in which case the …
quaternions. Unit quaternions are commonly used to represent rotation, in which case the …
Geometric methods and formulations in computational multibody system dynamics
Multibody systems are dynamical systems characterized by intrinsic symmetries and
invariants. Geometric mechanics deals with the mathematical modeling of such systems and …
invariants. Geometric mechanics deals with the mathematical modeling of such systems and …
A comparative study of finite element and spectral element methods in seismic wavefield modeling
The computational accuracy and efficiency of finite element method and spectral element
method (SEM) are investigated thoroughly in time-domain elastic wavefield modeling. The …
method (SEM) are investigated thoroughly in time-domain elastic wavefield modeling. The …