30 research outputs found
Numerical evaluation of mean-field homogenisation methods for predicting shale elastic response
Full text linkA SPH framework for dynamic interaction between soil and rigid body system with hybrid contact method
No full textA hybrid materialâpoint spheropolygonâelement method for solid and granular material interaction
No full textNumerical simulation of granular mixing in a rotary drum using a generalized interpolation material point method
No full textTemporal and Null-space filter for the Material Point Method
No full textThis paper presents algorithm improvements that reduce the numerical noise and increase the numerical stability of the material point method formulation. Because of the linear mapping required in each time step of the material point method algorithm, a possible mismatch between the number of material points and grid nodes leads to a loss of information. These nullâspace related errors may accumulate and affect the numerical solution. To remove the nullâspace errors, the presented algorithm utilizes a nullâspace filter. The nullâspace filter shown removes the nullâspace errors, resulting from the rank deficient mapping and the difference between the number of material points and the number of nodes. The presented algorithm enhancements also include the use of the explicit generalizedâα integration method, which helps optimizing the numerical algorithmic dissipation. This paper demonstrates the performance of the improved algorithms in several numerical examples.Peer reviewe
Conservative Taylor least squares reconstruction with application to material point methods
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Fragmentation and debris evolution modeled by a point-wise coupled reproducing kernel/finite element formulation
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Modeling heat flow across material interfaces and cracks using the material point method
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