723 citations · 841 across the 9 of their papers we have counts for
10 papers
Ductile fracture modeling by phase field, Hencky strain elasticity and finite J2 plasticity using nonlocal operator method
Huilong Ren, Xiaoying Zhuang, Timon Rabczuk
A phase field model for ductile fracture considering Hencky strain and finite J2 plasticity is presented using the nonlocal operator method. A variational derivation of J2 plastici…
Bond-based nonlocal models by nonlocal operator method in symmetric support domain
Huilong Ren, Timon Rabczuk, Xiaoying Zhuang +1
This paper is concerned with the energy decomposition of various nonlocal models, including elasticity, thin plates, and gradient elasticity, to arrive at bond-based nonlocal model…
Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase field fracture by nonlocal operator method
Huilong Ren, Xiaoying Zhuang, Erkan Oterkus +2
The derivation of nonlocal strong forms for many physical problems remains cumbersome in traditional methods. In this paper, we apply the variational principle/weighted residual me…
Higher order nonlocal operator method
Huilong Ren, Xiaoying Zhuang, Timon Rabczuk
We extend the nonlocal operator method to higher order scheme by using a higher order Taylor series expansion of the unknown field. Such a higher order scheme improves the original…
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…