Abstract
A mixed u–p edge-based smoothed particle finite element formulation is proposed for computational simulations of viscous flow. In order to improve the accuracy of the standard particle finite element method, edge-based and face-based smoothing operations on the displacement gradient are proposed for 2D and 3D analyses, respectively. Consequently, spatial integration involving the smoothing operator is performed on smoothing domains. The constitutive model is based on an elasto-viscoplastic formulation allowing for simulations of viscous fluid or fluid-like solid materials. The viscous response is modeled using an overstress function. The performance of the proposed edge-based smoothed particle finite element method (ES-PFEM) is demonstrated by several numerical benchmark studies, showing an excellent agreement with analytical and reference solutions and an improved accuracy and computational efficiency in comparison with results from the standard PFEM model. Finally, a numerical application of the ES-PFEM to the computational simulation of the extrusion process during 3D-concrete-printing is discussed.
Highlights
Large deformations of solids need to be considered in numerous engineering applications, including geotechnics, fluid–structure interaction or manufacturing processes
The smoothed particle finite element method (SPFEM) approach by Zhang et al [22] for geomechanical problems is based on the node-based smoothing technique, which leads to nodal integration of terms involved in the smoothing operation and stress points located on element nodes
To circumvent issues related to temporal instabilities, an edge-based approach is adopted to improve the standard particle finite element method (PFEM) formulation with low order finite elements
Summary
Large deformations of solids need to be considered in numerous engineering applications, including geotechnics, fluid–structure interaction or manufacturing processes. The SPFEM approach by Zhang et al [22] for geomechanical problems is based on the node-based smoothing technique, which leads to nodal integration of terms involved in the smoothing operation and stress points located on element nodes This model was improved in [27] by a GPU-accelerated formulation. To circumvent issues related to temporal instabilities (as they would appear in node-based smoothing approaches), an edge-based approach is adopted to improve the standard PFEM formulation with low order finite elements. This edge-based smoothed PFEM formulation (ES-PFEM) results in stress points located on element edges.
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