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SoliDualSPHysics: An extension of DualSPHysics for solid mechanics with hyperelasticity, plasticity, and fracture

Mohammad Naqib Rahimi, George Moutsanidis

TL;DR

SoliDualSPHysics is a novel open-source and GPU-accelerated software that extends DualSPHysics to enable the numerical simulation of hyperelastic, finite-strain plastic, and brittle fracture behavior in deformable solids within a unified smoothed particle hydrodynamics (SPH) formulation.

Abstract

We introduce SoliDualSPHysics, a novel open-source and GPU-accelerated software that extends DualSPHysics to enable the numerical simulation of hyperelastic, finite-strain plastic, and brittle fracture behavior in deformable solids within a unified smoothed particle hydrodynamics (SPH) formulation. The software implements a total Lagrangian formulation for solid mechanics that allows direct application of external loads and boundary conditions, enabling independent solid mechanics simulations. Brittle fracture is modeled through a phase-field approach coupled with SPH, allowing crack initiation, propagation, and branching under dynamic loading without the need for additional criteria or local refinement. The framework also supports user-defined mathematical expressions to prescribe time- and space-dependent quantities, complementing the solid and fracture extensions and enhancing flexibility across existing and future DualSPHysics applications. Leveraging DualSPHysics' native CPU/GPU parallel architecture, the software achieves substantial computational acceleration for large-scale simulations, and the implementation is verified and validated against benchmark numerical problems and experimental data, demonstrating accuracy, robustness, and favorable scaling performance. Comprehensive implementation details and user documentation are provided to ensure reproducibility and to support further development by the community. The framework and source code are freely available through a public GitHub repository.

SoliDualSPHysics: An extension of DualSPHysics for solid mechanics with hyperelasticity, plasticity, and fracture

TL;DR

SoliDualSPHysics is a novel open-source and GPU-accelerated software that extends DualSPHysics to enable the numerical simulation of hyperelastic, finite-strain plastic, and brittle fracture behavior in deformable solids within a unified smoothed particle hydrodynamics (SPH) formulation.

Abstract

We introduce SoliDualSPHysics, a novel open-source and GPU-accelerated software that extends DualSPHysics to enable the numerical simulation of hyperelastic, finite-strain plastic, and brittle fracture behavior in deformable solids within a unified smoothed particle hydrodynamics (SPH) formulation. The software implements a total Lagrangian formulation for solid mechanics that allows direct application of external loads and boundary conditions, enabling independent solid mechanics simulations. Brittle fracture is modeled through a phase-field approach coupled with SPH, allowing crack initiation, propagation, and branching under dynamic loading without the need for additional criteria or local refinement. The framework also supports user-defined mathematical expressions to prescribe time- and space-dependent quantities, complementing the solid and fracture extensions and enhancing flexibility across existing and future DualSPHysics applications. Leveraging DualSPHysics' native CPU/GPU parallel architecture, the software achieves substantial computational acceleration for large-scale simulations, and the implementation is verified and validated against benchmark numerical problems and experimental data, demonstrating accuracy, robustness, and favorable scaling performance. Comprehensive implementation details and user documentation are provided to ensure reproducibility and to support further development by the community. The framework and source code are freely available through a public GitHub repository.
Paper Structure (46 sections, 75 equations, 40 figures, 3 tables, 2 algorithms)

This paper contains 46 sections, 75 equations, 40 figures, 3 tables, 2 algorithms.

Table of Contents

  1. Introduction
  2. Formulation
  3. Momentum Balance
  4. Phase-Field of Brittle Fracture
  5. Constitutive Modeling
  6. St. Venant--Kirchhoff Model
  7. Neo-Hookean Model
  8. Extension to Finite-Strain $J_2$ Plasticity
  9. Total Lagrangian SPH Discretization
  10. Time Integration
  11. DualSPHysics Architecture and Extension to SoliDualSPHysics
  12. DualSPHysics Framework
  13. Base DualSPHysics XML Input
  14. Extensions for Solid and Fracture Mechanics in SoliDualSPHysics
  15. Modeling Fracture
  16. ...and 31 more sections

Figures (40)

  • Figure 1: DesignPhysics FreeCAD plugin for DualSPHysics. The GUI enables interactive setup of fluid simulation cases; support for deformable solid mechanics is not included in the standard release.
  • Figure 2: Structure of a DualSPHysics XML input file. In the standard framework, solid geometries are treated as rigid boundaries; modeling deformable structures requires the extensions introduced in this work.
  • Figure 3: (a) Geometry and boundary condition definitions in XML input file in SoliDualSPHysics. (b) Visual representation of geometry and boundary conditions in SoliDualSPHysics.
  • Figure 4: Properties of deformable structures along with the pre-existing notch definitions in the XML input file in SoliDualSPHysics.
  • Figure 5: Fracture configuration for deformable solids.
  • ...and 35 more figures

Theorems & Definitions (4)

  • Remark 1
  • Remark 2
  • Remark 3
  • Remark 4