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Roose Dirk - One of the best experts on this subject based on the ideXlab platform.

  • Coarse implicit time integration of a cellular scale particle model for plant tissue deformation
    Department of Computer Science K.U.Leuven, 2010
    Co-Authors: Ghysels Pieter, Samaey Giovanni, Van Liedekerke Paul, Tijskens Engelbert, Ramon Herman, Roose Dirk
    Abstract:

    We describe a multiscale method to simulate the deformation of plant tissue. At the cellular scale we use a combination of Smoothed Particle Hydrodynamics (SPH) and discrete elements to model the geometrical structure and basic properties of individual plant cells. At the coarse level, the material is described by the standard continuum approach without explicitly constructing a constitutive equation. Instead, the coarse scale finite element model uses simulations with the fine (cellular) scale model in small subdomains, called Representative Volume Elements (RVEs), to determine the necessary coarse scale variables; such as the stress and the elasticity and viscosity tensors. We present an implicit time integration scheme for the coarse finite element model allowing much larger time steps than possible with explicit methods. Computation of the Cauchy stress from an RVE is straightforward by volume averaging over the RVE. In this work, we use forward finite differencing of the objective Truesdell stress rate to estimate both the fourth order elasticity and viscosity tensors. These tensors are then used to construct the coarse scale stiffness and damping matrices, required for implicit integration.nrpages: 15status: publishe

  • Coarse implicit time integration of a cellular scale particle model for plant tissue deformation
    'Begell House', 2010
    Co-Authors: Ghysels Pieter, Samaey Giovanni, Van Liedekerke Paul, Tijskens Engelbert, Ramon Herman, Roose Dirk
    Abstract:

    We describe a multiscale method to simulate the deformation of plant tissue. At the cellular scale we use a combination of Smoothed Particle Hydrodynamics (SPH) and discrete elements to model the geometrical structure and basic properties of individual plant cells. At the coarse level, the material is described by the standard continuum approach without explicitly constructing a constitutive equation. Instead, the coarse scale finite element model uses simulations with the fine (cellular) scale model in small subdomains, called Representative Volume Elements (RVEs), to determine the necessary coarse scale variables; such as the stress and the elasticity and viscosity tensors. We present an implicit time integration scheme for the coarse finite element model allowing much larger time steps than possible with explicit methods. Computation of the Cauchy stress from an RVE is straightforward by volume averaging over the RVE. In this work, we use forward finite differencing of the objective Truesdell stress rate to estimate both the fourth order elasticity and viscosity tensors. These tensors are then used to construct the coarse scale stiffness and damping matrices, required for implicit integration.status: publishe

  • Multi-scale simulation of plant tissue deformation using a model for individual cell mechanics
    'IOP Publishing', 2009
    Co-Authors: Ghysels Pieter, Samaey Giovanni, Van Liedekerke Paul, Tijskens Engelbert, Ramon Herman, Roose Dirk
    Abstract:

    We present a micro-macro method for the simulation of large elastic deformations of plant tissue. At the microscopic level we use a mass-spring model to describe the geometrical structure and basic properties of individual plant cells. The macroscopic domain is discretized using standard finite elements, in which the macroscopic material properties (the stress-strain relation) are not given in analytical form, but are computed using the microscopic model in small subdomains, called representative volume elements (RVEs), centered around the macroscopic quadrature points. The boundary conditions for these RVEs are derived from the macroscopic deformation gradient. The computation of the macroscopic stress tensor is based on the definition of virial stress, as defined in molecular dynamics. The anisotropic Eulerian elasticity tensor is estimated using a forward finite difference approximation for the Truesdell rate of the Cauchy stress tensor. We investigate the influence of the size of the RVE and the boundary conditions. This multi-scale method converges to the solution of the full microscopic simulation, both for globally and adaptively refined finite element meshes, and achieves a significant speed-up compared to the full microscopic simulation.status: publishe

  • Multi-scale computation of plant tissue deformation using models for individual cell behavior
    Department of Computer Science K.U.Leuven, 2008
    Co-Authors: Ghysels Pieter, Samaey Giovanni, Tijskens Engelbert, Ramon Herman, Roose Dirk
    Abstract:

    We present a micro-macro method for the simulation of large elastic deformations of plant tissue. At the microscopic level we use a discrete element model to describe the geometrical structure and basic properties of individual plant cells. The macroscopic domain is discretized using standard finite elements, in which the unknown macroscopic material properties (the stress-strain relation) are computed using the microscopic model in small sub-domains, called representative volume elements (RVEs), centered around the macroscopic quadrature points. The boundary conditions for these RVEs are derived from the macroscopic deformation gradient. The computation of the macroscopic stress tensor is based on the definition of virial stress, as defined in molecular dynamics. The anisotropic Eulerian elasticity tensor is estimated using a forward finite difference approximation for the Truesdell rate of the Cauchy stress tensor. We investigate the influence of the size of the RVE and the boundary conditions via numerical experiments. We show that the multi-scale method converges to the solution of the full microscopic simulation, both for globally and adaptively refined finite element meshes and achieves a significant speed-up compared with the full microscopic simulation.nrpages: 21status: publishe

Ghysels Pieter - One of the best experts on this subject based on the ideXlab platform.

  • Coarse implicit time integration of a cellular scale particle model for plant tissue deformation
    Department of Computer Science K.U.Leuven, 2010
    Co-Authors: Ghysels Pieter, Samaey Giovanni, Van Liedekerke Paul, Tijskens Engelbert, Ramon Herman, Roose Dirk
    Abstract:

    We describe a multiscale method to simulate the deformation of plant tissue. At the cellular scale we use a combination of Smoothed Particle Hydrodynamics (SPH) and discrete elements to model the geometrical structure and basic properties of individual plant cells. At the coarse level, the material is described by the standard continuum approach without explicitly constructing a constitutive equation. Instead, the coarse scale finite element model uses simulations with the fine (cellular) scale model in small subdomains, called Representative Volume Elements (RVEs), to determine the necessary coarse scale variables; such as the stress and the elasticity and viscosity tensors. We present an implicit time integration scheme for the coarse finite element model allowing much larger time steps than possible with explicit methods. Computation of the Cauchy stress from an RVE is straightforward by volume averaging over the RVE. In this work, we use forward finite differencing of the objective Truesdell stress rate to estimate both the fourth order elasticity and viscosity tensors. These tensors are then used to construct the coarse scale stiffness and damping matrices, required for implicit integration.nrpages: 15status: publishe

  • Coarse implicit time integration of a cellular scale particle model for plant tissue deformation
    'Begell House', 2010
    Co-Authors: Ghysels Pieter, Samaey Giovanni, Van Liedekerke Paul, Tijskens Engelbert, Ramon Herman, Roose Dirk
    Abstract:

    We describe a multiscale method to simulate the deformation of plant tissue. At the cellular scale we use a combination of Smoothed Particle Hydrodynamics (SPH) and discrete elements to model the geometrical structure and basic properties of individual plant cells. At the coarse level, the material is described by the standard continuum approach without explicitly constructing a constitutive equation. Instead, the coarse scale finite element model uses simulations with the fine (cellular) scale model in small subdomains, called Representative Volume Elements (RVEs), to determine the necessary coarse scale variables; such as the stress and the elasticity and viscosity tensors. We present an implicit time integration scheme for the coarse finite element model allowing much larger time steps than possible with explicit methods. Computation of the Cauchy stress from an RVE is straightforward by volume averaging over the RVE. In this work, we use forward finite differencing of the objective Truesdell stress rate to estimate both the fourth order elasticity and viscosity tensors. These tensors are then used to construct the coarse scale stiffness and damping matrices, required for implicit integration.status: publishe

  • Multi-scale simulation of plant tissue deformation using a model for individual cell mechanics
    'IOP Publishing', 2009
    Co-Authors: Ghysels Pieter, Samaey Giovanni, Van Liedekerke Paul, Tijskens Engelbert, Ramon Herman, Roose Dirk
    Abstract:

    We present a micro-macro method for the simulation of large elastic deformations of plant tissue. At the microscopic level we use a mass-spring model to describe the geometrical structure and basic properties of individual plant cells. The macroscopic domain is discretized using standard finite elements, in which the macroscopic material properties (the stress-strain relation) are not given in analytical form, but are computed using the microscopic model in small subdomains, called representative volume elements (RVEs), centered around the macroscopic quadrature points. The boundary conditions for these RVEs are derived from the macroscopic deformation gradient. The computation of the macroscopic stress tensor is based on the definition of virial stress, as defined in molecular dynamics. The anisotropic Eulerian elasticity tensor is estimated using a forward finite difference approximation for the Truesdell rate of the Cauchy stress tensor. We investigate the influence of the size of the RVE and the boundary conditions. This multi-scale method converges to the solution of the full microscopic simulation, both for globally and adaptively refined finite element meshes, and achieves a significant speed-up compared to the full microscopic simulation.status: publishe

  • Multi-scale computation of plant tissue deformation using models for individual cell behavior
    Department of Computer Science K.U.Leuven, 2008
    Co-Authors: Ghysels Pieter, Samaey Giovanni, Tijskens Engelbert, Ramon Herman, Roose Dirk
    Abstract:

    We present a micro-macro method for the simulation of large elastic deformations of plant tissue. At the microscopic level we use a discrete element model to describe the geometrical structure and basic properties of individual plant cells. The macroscopic domain is discretized using standard finite elements, in which the unknown macroscopic material properties (the stress-strain relation) are computed using the microscopic model in small sub-domains, called representative volume elements (RVEs), centered around the macroscopic quadrature points. The boundary conditions for these RVEs are derived from the macroscopic deformation gradient. The computation of the macroscopic stress tensor is based on the definition of virial stress, as defined in molecular dynamics. The anisotropic Eulerian elasticity tensor is estimated using a forward finite difference approximation for the Truesdell rate of the Cauchy stress tensor. We investigate the influence of the size of the RVE and the boundary conditions via numerical experiments. We show that the multi-scale method converges to the solution of the full microscopic simulation, both for globally and adaptively refined finite element meshes and achieves a significant speed-up compared with the full microscopic simulation.nrpages: 21status: publishe

Ormières Jean-louis - One of the best experts on this subject based on the ideXlab platform.

Matthew Truesdell - One of the best experts on this subject based on the ideXlab platform.

Samaey Giovanni - One of the best experts on this subject based on the ideXlab platform.

  • Coarse implicit time integration of a cellular scale particle model for plant tissue deformation
    Department of Computer Science K.U.Leuven, 2010
    Co-Authors: Ghysels Pieter, Samaey Giovanni, Van Liedekerke Paul, Tijskens Engelbert, Ramon Herman, Roose Dirk
    Abstract:

    We describe a multiscale method to simulate the deformation of plant tissue. At the cellular scale we use a combination of Smoothed Particle Hydrodynamics (SPH) and discrete elements to model the geometrical structure and basic properties of individual plant cells. At the coarse level, the material is described by the standard continuum approach without explicitly constructing a constitutive equation. Instead, the coarse scale finite element model uses simulations with the fine (cellular) scale model in small subdomains, called Representative Volume Elements (RVEs), to determine the necessary coarse scale variables; such as the stress and the elasticity and viscosity tensors. We present an implicit time integration scheme for the coarse finite element model allowing much larger time steps than possible with explicit methods. Computation of the Cauchy stress from an RVE is straightforward by volume averaging over the RVE. In this work, we use forward finite differencing of the objective Truesdell stress rate to estimate both the fourth order elasticity and viscosity tensors. These tensors are then used to construct the coarse scale stiffness and damping matrices, required for implicit integration.nrpages: 15status: publishe

  • Coarse implicit time integration of a cellular scale particle model for plant tissue deformation
    'Begell House', 2010
    Co-Authors: Ghysels Pieter, Samaey Giovanni, Van Liedekerke Paul, Tijskens Engelbert, Ramon Herman, Roose Dirk
    Abstract:

    We describe a multiscale method to simulate the deformation of plant tissue. At the cellular scale we use a combination of Smoothed Particle Hydrodynamics (SPH) and discrete elements to model the geometrical structure and basic properties of individual plant cells. At the coarse level, the material is described by the standard continuum approach without explicitly constructing a constitutive equation. Instead, the coarse scale finite element model uses simulations with the fine (cellular) scale model in small subdomains, called Representative Volume Elements (RVEs), to determine the necessary coarse scale variables; such as the stress and the elasticity and viscosity tensors. We present an implicit time integration scheme for the coarse finite element model allowing much larger time steps than possible with explicit methods. Computation of the Cauchy stress from an RVE is straightforward by volume averaging over the RVE. In this work, we use forward finite differencing of the objective Truesdell stress rate to estimate both the fourth order elasticity and viscosity tensors. These tensors are then used to construct the coarse scale stiffness and damping matrices, required for implicit integration.status: publishe

  • Multi-scale simulation of plant tissue deformation using a model for individual cell mechanics
    'IOP Publishing', 2009
    Co-Authors: Ghysels Pieter, Samaey Giovanni, Van Liedekerke Paul, Tijskens Engelbert, Ramon Herman, Roose Dirk
    Abstract:

    We present a micro-macro method for the simulation of large elastic deformations of plant tissue. At the microscopic level we use a mass-spring model to describe the geometrical structure and basic properties of individual plant cells. The macroscopic domain is discretized using standard finite elements, in which the macroscopic material properties (the stress-strain relation) are not given in analytical form, but are computed using the microscopic model in small subdomains, called representative volume elements (RVEs), centered around the macroscopic quadrature points. The boundary conditions for these RVEs are derived from the macroscopic deformation gradient. The computation of the macroscopic stress tensor is based on the definition of virial stress, as defined in molecular dynamics. The anisotropic Eulerian elasticity tensor is estimated using a forward finite difference approximation for the Truesdell rate of the Cauchy stress tensor. We investigate the influence of the size of the RVE and the boundary conditions. This multi-scale method converges to the solution of the full microscopic simulation, both for globally and adaptively refined finite element meshes, and achieves a significant speed-up compared to the full microscopic simulation.status: publishe

  • Multi-scale computation of plant tissue deformation using models for individual cell behavior
    Department of Computer Science K.U.Leuven, 2008
    Co-Authors: Ghysels Pieter, Samaey Giovanni, Tijskens Engelbert, Ramon Herman, Roose Dirk
    Abstract:

    We present a micro-macro method for the simulation of large elastic deformations of plant tissue. At the microscopic level we use a discrete element model to describe the geometrical structure and basic properties of individual plant cells. The macroscopic domain is discretized using standard finite elements, in which the unknown macroscopic material properties (the stress-strain relation) are computed using the microscopic model in small sub-domains, called representative volume elements (RVEs), centered around the macroscopic quadrature points. The boundary conditions for these RVEs are derived from the macroscopic deformation gradient. The computation of the macroscopic stress tensor is based on the definition of virial stress, as defined in molecular dynamics. The anisotropic Eulerian elasticity tensor is estimated using a forward finite difference approximation for the Truesdell rate of the Cauchy stress tensor. We investigate the influence of the size of the RVE and the boundary conditions via numerical experiments. We show that the multi-scale method converges to the solution of the full microscopic simulation, both for globally and adaptively refined finite element meshes and achieves a significant speed-up compared with the full microscopic simulation.nrpages: 21status: publishe

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