A smoothed naturally stabilized conforming nodal integration (S-NSNI) for the reproducing
kernel particle method (RKPM) is proposed for non-linear explicit dynamics. The Taylor …

Because of the best approximation property, traditional Bubnov–Galerkin numerical
methods have proven immensely successful in modeling self-adjoint problems, such as heat …

Understanding and predicting mechanical properties in large-scale structures such as dams
poses a significant challenge, largely due to the inherent size effect in concrete materials …

In this work, the fast-convolving reproducing kernel particle method (FC-RKPM) is
introduced. This method is hundreds to millions of times faster than the traditional RKPM for …

A thin shell formulation is developed for the approximation by a meshfree Reproducing
Kernel Particle Method (RKPM). The formulation is derived from a degenerated shell …

As the temperature surpasses the threshold for the completion of austenitic transformation,
shape memory alloys (SMAs) necessitate a substantial external force to trigger internal …

Discontinuities in rock mass are usually considered to be important influencing factors for
shear failure. As a type of granular material, the macroscopic mechanical behavior of rock …

This thesis proposes a computational framework for establishing a virtual laboratory
enabling integration of experimental data into the finite element simulations, such as …