Solid Mechanics

14,000,000 Leading Edge Experts on the ideXlab platform

Scan Science and Technology

Contact Leading Edge Experts & Companies

Scan Science and Technology

Contact Leading Edge Experts & Companies

The Experts below are selected from a list of 183507 Experts worldwide ranked by ideXlab platform

J. M. T. Thompson - One of the best experts on this subject based on the ideXlab platform.

Alan R Champneys - One of the best experts on this subject based on the ideXlab platform.

Ismet Demirdžić - One of the best experts on this subject based on the ideXlab platform.

  • Thirty Years of the Finite Volume Method for Solid Mechanics
    Archives of Computational Methods in Engineering, 2021
    Co-Authors: Philip Cardiff, Ismet Demirdžić
    Abstract:

    Since early publications in the late 1980s and early 1990s, the finite volume method has been shown suitable for Solid Mechanics analyses. At present, there are several flavours of the method, which can be classified in a variety of ways, such as grid arrangement (cell-centred vs. staggered vs. vertex-centred), solution algorithm (implicit vs. explicit), and stabilisation strategy (Rhie–Chow vs. Jameson–Schmidt–Turkel vs. Godunov upwinding). This article gives an overview, historical perspective, comparison and critical analysis of the different approaches where a close comparison with the de facto standard for computational Solid Mechanics, the finite element method, is given. The article finishes with a look towards future research directions and steps required for finite volume Solid Mechanics to achieve more widespread acceptance.

  • Thirty years of the finite volume method for Solid Mechanics.
    arXiv: Numerical Analysis, 2018
    Co-Authors: Philip Cardiff, Ismet Demirdžić
    Abstract:

    Since early publications in the late 1980s and early 1990s, the finite volume method has been shown suitable for Solid Mechanics analyses. At present, there are several flavours of the method, including `cell-centred', `staggered', `vertex-centred', `periodic heterogenous microstructural', `Godunov-type', `matrix-free', `meshless', as well as others. This article gives an overview, historical perspective, comparison and critical analysis of the different approaches, including their relative strengths, weaknesses, similarities and dissimilarities, where a close comparison with the de facto standard for computational Solid Mechanics, the finite element method, is given. The article finishes with a look towards future research directions and steps required for finite volume Solid Mechanics to achieve widespread acceptance.

Philip Cardiff - One of the best experts on this subject based on the ideXlab platform.

  • Thirty Years of the Finite Volume Method for Solid Mechanics
    Archives of Computational Methods in Engineering, 2021
    Co-Authors: Philip Cardiff, Ismet Demirdžić
    Abstract:

    Since early publications in the late 1980s and early 1990s, the finite volume method has been shown suitable for Solid Mechanics analyses. At present, there are several flavours of the method, which can be classified in a variety of ways, such as grid arrangement (cell-centred vs. staggered vs. vertex-centred), solution algorithm (implicit vs. explicit), and stabilisation strategy (Rhie–Chow vs. Jameson–Schmidt–Turkel vs. Godunov upwinding). This article gives an overview, historical perspective, comparison and critical analysis of the different approaches where a close comparison with the de facto standard for computational Solid Mechanics, the finite element method, is given. The article finishes with a look towards future research directions and steps required for finite volume Solid Mechanics to achieve more widespread acceptance.

  • Thirty years of the finite volume method for Solid Mechanics.
    arXiv: Numerical Analysis, 2018
    Co-Authors: Philip Cardiff, Ismet Demirdžić
    Abstract:

    Since early publications in the late 1980s and early 1990s, the finite volume method has been shown suitable for Solid Mechanics analyses. At present, there are several flavours of the method, including `cell-centred', `staggered', `vertex-centred', `periodic heterogenous microstructural', `Godunov-type', `matrix-free', `meshless', as well as others. This article gives an overview, historical perspective, comparison and critical analysis of the different approaches, including their relative strengths, weaknesses, similarities and dissimilarities, where a close comparison with the de facto standard for computational Solid Mechanics, the finite element method, is given. The article finishes with a look towards future research directions and steps required for finite volume Solid Mechanics to achieve widespread acceptance.

  • An open-source finite volume toolbox for Solid Mechanics and fluid-Solid interaction simulations
    arXiv: Numerical Analysis, 2018
    Co-Authors: Philip Cardiff, Peter De Jaeger, Aleksandar Karac, Alojz Ivankovic
    Abstract:

    Over the past 30 years, the cell-centred finite volume method has developed to become a viable alternative to the finite element method in the field of computational Solid Mechanics. The current article presents an open-source toolbox for Solid Mechanics and fluid-Solid interaction simulations based on the finite volume library OpenFOAM. The object-oriented toolbox design is outlined, where emphasis has been given to code use, comprehension, maintenance and extension. The toolbox capabilities are demonstrated on a number of representative test problems, where comparisons are given with finite element solutions.

M S Gadala - One of the best experts on this subject based on the ideXlab platform.

  • eulerian volume of Solid vos approach in Solid Mechanics and metal forming
    Computer Methods in Applied Mechanics and Engineering, 2011
    Co-Authors: Khaled S Alathel, M S Gadala
    Abstract:

    Abstract The commonly known volume of fluids (VOF) method in fluid Mechanics applications is extended to applications in Solid Mechanics. For this extension, we propose the name volume of Solid (VOS) method in Solid Mechanics. The derivation of the Eulerian finite element equation is highlighted for quasi-static analysis. The VOF method is adapted to Solid Mechanics to track the free Solid surface in large strain metal forming problems. The theoretical development of the VOS method includes the calculation of the fractional volume value of the Solid in each element and defining a free surface directional vector to find the location and shape of the free surface. The method is presented for uniform and non-uniform Cartesian grids. All issues related to the use of Eulerian finite element (FE) formulation and VOF method such as the connectivity of the free surface, tracking material point properties and updating the values for newly added nodes during the analysis, are discussed in this paper. The implementation of the VOS method in metal forming applications is presented using two processes; compressions between wedge-shaped dies and backward extrusion.

  • Eulerian volume of Solid (VOS) approach in Solid Mechanics and metal forming
    Computer Methods in Applied Mechanics and Engineering, 2010
    Co-Authors: Khaled S. Al-athel, M S Gadala
    Abstract:

    Abstract The commonly known volume of fluids (VOF) method in fluid Mechanics applications is extended to applications in Solid Mechanics. For this extension, we propose the name volume of Solid (VOS) method in Solid Mechanics. The derivation of the Eulerian finite element equation is highlighted for quasi-static analysis. The VOF method is adapted to Solid Mechanics to track the free Solid surface in large strain metal forming problems. The theoretical development of the VOS method includes the calculation of the fractional volume value of the Solid in each element and defining a free surface directional vector to find the location and shape of the free surface. The method is presented for uniform and non-uniform Cartesian grids. All issues related to the use of Eulerian finite element (FE) formulation and VOF method such as the connectivity of the free surface, tracking material point properties and updating the values for newly added nodes during the analysis, are discussed in this paper. The implementation of the VOS method in metal forming applications is presented using two processes; compressions between wedge-shaped dies and backward extrusion.

Solid Mechanics - 15 days free trial to Access Experts & Abstracts