A5018177628- Numerical methods in engineering
- Fluid Dynamics Simulations and Interactions
- Advanced Numerical Methods in Computational Mathematics
- Electromagnetic Simulation and Numerical Methods
- Geotechnical Engineering and Underground Structures
- Rock Mechanics and Modeling
- Advanced Numerical Analysis Techniques
- Landslides and related hazards
- Seismic Imaging and Inversion Techniques
- Geotechnical Engineering and Soil Mechanics
- Image Processing Techniques and Applications
- Dam Engineering and Safety
- Innovations in Concrete and Construction Materials
- Fatigue and fracture mechanics
- Additive Manufacturing and 3D Printing Technologies
- High-Velocity Impact and Material Behavior
- Mechanical Behavior of Composites
- Force Microscopy Techniques and Applications
- Engineering Applied Research
- Optimization and Packing Problems
- Geotechnical Engineering and Soil Stabilization
- Grouting, Rheology, and Soil Mechanics
- Fractional Differential Equations Solutions
- Thermoelastic and Magnetoelastic Phenomena
- Elasticity and Wave Propagation
Pennsylvania State University
2017-2024
Karagozian & Case (United States)
2023-2024
University of California, San Diego
2014-2016
University of California System
2012-2014
University of California, Los Angeles
2013
In the past two decades, meshfree methods have emerged into a new class of computational with considerable success. addition, significant amount progress has been made in addressing major shortcomings that were present these at early stages their development. For instance, essential boundary conditions are almost trivial to enforce by employing techniques now available, and need for high order quadrature circumvented development advanced techniques, essentially eliminating previously...
SUMMARY Because most approximation functions employed in meshfree methods are rational with overlapping supports, sufficiently accurate domain integration becomes costly, whereas insufficient accuracy the leads to suboptimal convergence. In this paper, we show that it is possible achieve optimal convergence by enforcing variational consistency between and test functions, can be achieved much less computational cost than using higher‐order quadrature rules. fact, stabilized conforming nodal...
Convergent and stable domain integration that is also computationally efficient remains a challenge for Galerkin meshfree methods. High order quadrature can achieve stability optimal convergence, but it prohibitively expensive practical use. On the other hand, low consumes much less CPU yield non-convergent, unstable solutions. In this work, an accelerated, convergent, nodal developed reproducing kernel particle method. A stabilization scheme proposed based on implicit gradients of strains...
State-based peridynamics is a non-local reformulation of solid mechanics that replaces the force density divergence stress with an integral action states on bonds local to given position, which precludes differentiation aim model strong discontinuities effortlessly. A popular implementation meshfree formulation where discretized by quadrature points, results in series unknowns at points under strong-form collocation framework. In this work, discretization state-based correspondence principle...
Abstract We present a novel formulation for the immersed coupling of isogeometric analysis and peridynamics simulation fluid–structure interaction (FSI). focus on air-blast FSI address computational challenges methods in fracture fragmentation by developing weakly volume-coupled means simple penalty approach. show mathematical several numerical examples inelastic ductile brittle solids under blast loading that clearly demonstrate power robustness proposed methodology.
Abstract The explosive welding process is an extreme-deformation problem that involves shock waves, large plastic deformation, and fragmentation around the collision point, which are extremely challenging features to model for traditional mesh-based methods. In this work, a particle-based Godunov algorithm under semi-Lagrangian reproducing kernel particle method (SL-RKPM) introduced into volumetric strain energy accurately embed key physics in absence of mesh or grid, shown also ensure...