The Experts below are selected from a list of 21 Experts worldwide ranked by ideXlab platform

Ramon Codina - One of the best experts on this subject based on the ideXlab platform.

  • mixed stabilized finite element methods in nonlinear solid mechanics part iii compressible and incompressible plasticity
    Computer Methods in Applied Mechanics and Engineering, 2015
    Co-Authors: Miguel Cervera, Michele Chiumenti, Lorenzo Benedetti, Ramon Codina
    Abstract:

    This paper presents the application of a stabilized mixed strain/displacement finite element Formulation for the solution of nonlinear solid mechanics problems involving compressible and incompressible plasticity. The variational multiscale stabilization introduced allows the use of equal order interpolations in a consistent way. Such Formulation presents two advantages when compared to the standard, displacement based, Irreducible Formulation: (a) it provides enhanced rate of convergence for the strain (and stress) field and (b) it is able to deal with incompressible situations. The first advantage also applies to the comparison with the mixed pressure/displacement Formulation. The paper investigates the effect of the improved strain and stress fields in problems involving strain softening and localization leading to failure, using low order finite elements with continuous strain and displacement fields (P1P1 triangles or tetrahedra and Q1Q1 quadrilaterals, hexahedra, and triangular prisms) in conjunction with an associative frictional Drucker–Prager plastic model. The performance of the strain/displacement Formulation under compressible and nearly incompressible deformation patterns is assessed and compared to a previously proposed pressure/displacement Formulation. Benchmark numerical examples show the capacity of the mixed Formulation to predict correctly failure mechanisms with localized patterns of strain, virtually free from any dependence of the mesh directional bias. No auxiliary crack tracking technique is necessary.

  • mixed stabilized finite element methods in nonlinear solid mechanics part i Formulation
    Computer Methods in Applied Mechanics and Engineering, 2010
    Co-Authors: Miguel Cervera, Michele Chiumenti, Ramon Codina
    Abstract:

    Abstract This paper exploits the concept of stabilized finite element methods to formulate stable mixed stress/displacement and strain/displacement finite elements for the solution of nonlinear solid mechanics problems. The different assumptions and approximations used to derive the methods are exposed. The proposed procedure is very general, applicable to 2D and 3D problems. Implementation and computational aspects are also discussed, showing that a robust application of the proposed Formulation is feasible. Numerical examples show that the results obtained compare favorably with those obtained with the corresponding Irreducible Formulation.

Miguel Cervera - One of the best experts on this subject based on the ideXlab platform.

  • mixed stabilized finite element methods in nonlinear solid mechanics part iii compressible and incompressible plasticity
    Computer Methods in Applied Mechanics and Engineering, 2015
    Co-Authors: Miguel Cervera, Michele Chiumenti, Lorenzo Benedetti, Ramon Codina
    Abstract:

    This paper presents the application of a stabilized mixed strain/displacement finite element Formulation for the solution of nonlinear solid mechanics problems involving compressible and incompressible plasticity. The variational multiscale stabilization introduced allows the use of equal order interpolations in a consistent way. Such Formulation presents two advantages when compared to the standard, displacement based, Irreducible Formulation: (a) it provides enhanced rate of convergence for the strain (and stress) field and (b) it is able to deal with incompressible situations. The first advantage also applies to the comparison with the mixed pressure/displacement Formulation. The paper investigates the effect of the improved strain and stress fields in problems involving strain softening and localization leading to failure, using low order finite elements with continuous strain and displacement fields (P1P1 triangles or tetrahedra and Q1Q1 quadrilaterals, hexahedra, and triangular prisms) in conjunction with an associative frictional Drucker–Prager plastic model. The performance of the strain/displacement Formulation under compressible and nearly incompressible deformation patterns is assessed and compared to a previously proposed pressure/displacement Formulation. Benchmark numerical examples show the capacity of the mixed Formulation to predict correctly failure mechanisms with localized patterns of strain, virtually free from any dependence of the mesh directional bias. No auxiliary crack tracking technique is necessary.

  • explicit mixed Formulation in nonlinear solid mechanics softening localization and stabilization in plasticity
    2015
    Co-Authors: N Lafontaine, Miguel Cervera, Riccardo Rossi, Michele Chiumenti
    Abstract:

    This paper presents a stabilized mixed explicit strain/displacement finite element Formulation (SMEX-FEM) for the solution nonlinear solid mechanics problems involving plasticity. A Central Difference Method is employed for temporal integration of the equation of motion. Only the solution of diagonal systems of equations is required and the algorithm is purely explicit. Comparing to the standard, displacement based, Irreducible Formulation, the mixed Formulation provides an enhanced rate of convergence for the strain and stress field. This papers investigates the effect of improved strain and stress fields in problems involving strain softening and localization leading to failure, using low order finite elements with continuous strain and displacement field in conjunction with frictional Mohr Coulomb and Drucker-Prager plastic models. The variational multiscale stabilization introduced allows the use of equal order interpolations. Numerical experiments show the capacity of the mixed Formulation to predict the ultimate load, failure mechanisms and localized patters of strain which are virtually free from any dependence mesh directional bias without the need of any auxiliary crack tracking technique.

  • mixed stabilized finite element methods in nonlinear solid mechanics part i Formulation
    Computer Methods in Applied Mechanics and Engineering, 2010
    Co-Authors: Miguel Cervera, Michele Chiumenti, Ramon Codina
    Abstract:

    Abstract This paper exploits the concept of stabilized finite element methods to formulate stable mixed stress/displacement and strain/displacement finite elements for the solution of nonlinear solid mechanics problems. The different assumptions and approximations used to derive the methods are exposed. The proposed procedure is very general, applicable to 2D and 3D problems. Implementation and computational aspects are also discussed, showing that a robust application of the proposed Formulation is feasible. Numerical examples show that the results obtained compare favorably with those obtained with the corresponding Irreducible Formulation.

Michele Chiumenti - One of the best experts on this subject based on the ideXlab platform.

  • mixed stabilized finite element methods in nonlinear solid mechanics part iii compressible and incompressible plasticity
    Computer Methods in Applied Mechanics and Engineering, 2015
    Co-Authors: Miguel Cervera, Michele Chiumenti, Lorenzo Benedetti, Ramon Codina
    Abstract:

    This paper presents the application of a stabilized mixed strain/displacement finite element Formulation for the solution of nonlinear solid mechanics problems involving compressible and incompressible plasticity. The variational multiscale stabilization introduced allows the use of equal order interpolations in a consistent way. Such Formulation presents two advantages when compared to the standard, displacement based, Irreducible Formulation: (a) it provides enhanced rate of convergence for the strain (and stress) field and (b) it is able to deal with incompressible situations. The first advantage also applies to the comparison with the mixed pressure/displacement Formulation. The paper investigates the effect of the improved strain and stress fields in problems involving strain softening and localization leading to failure, using low order finite elements with continuous strain and displacement fields (P1P1 triangles or tetrahedra and Q1Q1 quadrilaterals, hexahedra, and triangular prisms) in conjunction with an associative frictional Drucker–Prager plastic model. The performance of the strain/displacement Formulation under compressible and nearly incompressible deformation patterns is assessed and compared to a previously proposed pressure/displacement Formulation. Benchmark numerical examples show the capacity of the mixed Formulation to predict correctly failure mechanisms with localized patterns of strain, virtually free from any dependence of the mesh directional bias. No auxiliary crack tracking technique is necessary.

  • explicit mixed Formulation in nonlinear solid mechanics softening localization and stabilization in plasticity
    2015
    Co-Authors: N Lafontaine, Miguel Cervera, Riccardo Rossi, Michele Chiumenti
    Abstract:

    This paper presents a stabilized mixed explicit strain/displacement finite element Formulation (SMEX-FEM) for the solution nonlinear solid mechanics problems involving plasticity. A Central Difference Method is employed for temporal integration of the equation of motion. Only the solution of diagonal systems of equations is required and the algorithm is purely explicit. Comparing to the standard, displacement based, Irreducible Formulation, the mixed Formulation provides an enhanced rate of convergence for the strain and stress field. This papers investigates the effect of improved strain and stress fields in problems involving strain softening and localization leading to failure, using low order finite elements with continuous strain and displacement field in conjunction with frictional Mohr Coulomb and Drucker-Prager plastic models. The variational multiscale stabilization introduced allows the use of equal order interpolations. Numerical experiments show the capacity of the mixed Formulation to predict the ultimate load, failure mechanisms and localized patters of strain which are virtually free from any dependence mesh directional bias without the need of any auxiliary crack tracking technique.

  • mixed stabilized finite element methods in nonlinear solid mechanics part i Formulation
    Computer Methods in Applied Mechanics and Engineering, 2010
    Co-Authors: Miguel Cervera, Michele Chiumenti, Ramon Codina
    Abstract:

    Abstract This paper exploits the concept of stabilized finite element methods to formulate stable mixed stress/displacement and strain/displacement finite elements for the solution of nonlinear solid mechanics problems. The different assumptions and approximations used to derive the methods are exposed. The proposed procedure is very general, applicable to 2D and 3D problems. Implementation and computational aspects are also discussed, showing that a robust application of the proposed Formulation is feasible. Numerical examples show that the results obtained compare favorably with those obtained with the corresponding Irreducible Formulation.

Lorenzo Benedetti - One of the best experts on this subject based on the ideXlab platform.

  • mixed stabilized finite element methods in nonlinear solid mechanics part iii compressible and incompressible plasticity
    Computer Methods in Applied Mechanics and Engineering, 2015
    Co-Authors: Miguel Cervera, Michele Chiumenti, Lorenzo Benedetti, Ramon Codina
    Abstract:

    This paper presents the application of a stabilized mixed strain/displacement finite element Formulation for the solution of nonlinear solid mechanics problems involving compressible and incompressible plasticity. The variational multiscale stabilization introduced allows the use of equal order interpolations in a consistent way. Such Formulation presents two advantages when compared to the standard, displacement based, Irreducible Formulation: (a) it provides enhanced rate of convergence for the strain (and stress) field and (b) it is able to deal with incompressible situations. The first advantage also applies to the comparison with the mixed pressure/displacement Formulation. The paper investigates the effect of the improved strain and stress fields in problems involving strain softening and localization leading to failure, using low order finite elements with continuous strain and displacement fields (P1P1 triangles or tetrahedra and Q1Q1 quadrilaterals, hexahedra, and triangular prisms) in conjunction with an associative frictional Drucker–Prager plastic model. The performance of the strain/displacement Formulation under compressible and nearly incompressible deformation patterns is assessed and compared to a previously proposed pressure/displacement Formulation. Benchmark numerical examples show the capacity of the mixed Formulation to predict correctly failure mechanisms with localized patterns of strain, virtually free from any dependence of the mesh directional bias. No auxiliary crack tracking technique is necessary.

N Lafontaine - One of the best experts on this subject based on the ideXlab platform.

  • explicit mixed Formulation in nonlinear solid mechanics softening localization and stabilization in plasticity
    2015
    Co-Authors: N Lafontaine, Miguel Cervera, Riccardo Rossi, Michele Chiumenti
    Abstract:

    This paper presents a stabilized mixed explicit strain/displacement finite element Formulation (SMEX-FEM) for the solution nonlinear solid mechanics problems involving plasticity. A Central Difference Method is employed for temporal integration of the equation of motion. Only the solution of diagonal systems of equations is required and the algorithm is purely explicit. Comparing to the standard, displacement based, Irreducible Formulation, the mixed Formulation provides an enhanced rate of convergence for the strain and stress field. This papers investigates the effect of improved strain and stress fields in problems involving strain softening and localization leading to failure, using low order finite elements with continuous strain and displacement field in conjunction with frictional Mohr Coulomb and Drucker-Prager plastic models. The variational multiscale stabilization introduced allows the use of equal order interpolations. Numerical experiments show the capacity of the mixed Formulation to predict the ultimate load, failure mechanisms and localized patters of strain which are virtually free from any dependence mesh directional bias without the need of any auxiliary crack tracking technique.