723 citations · 841 across the 9 of their papers we have counts for
5 papers · 1 filter
Dual-support smoothed particle hydrodynamics in solid: variational principle and implicit formulation
Huilong Ren, Xiaoying Zhuang, Timon Rabczuk +1
In this paper, we derive the dual-support smoothed particle hydrodynamics (DS-SPH) in solid in the framework of variational principle. The tangent stiffness matrix of SPH is obtain…
A nonlocal operator method for solving partial differential equations
Huilong Ren, Xiaoying Zhuang, Timon Rabczuk
We propose a nonlocal operator method for solving partial differential equations (PDEs). The nonlocal operator is derived from the Taylor series expansion of the unknown field, and…
Dual-support smoothed particle hydrodynamics for elastic mechanics
Zili Dai, Huilong Ren, Xiaoying Zhuang +1
In the standard SPH method, the interaction between two particles might be not pairwise when the support domain varies, which can result in a reduction of accuracy. To deal with th…
Dual-support Smoothed Particle Hydrodynamics
Huilong Ren, Zili Dai, Xiaoying Zhuang +1
In this paper we develop a dual-support smoothed particle hydrodynamics (DS-SPH) that naturally satisfies the conservation of momentum, angular momentum and energy when the varying…
Dual-horizon Peridynamics
Huilong Ren, Xiaoying Zhuang, Yongchang Cai +1
In this paper we develop a new Peridynamic approach that naturally includes varying horizon sizes and completely solves the "ghost force" issue. Therefore, the concept of dual-hori…