65 citations · 171 across the 15 of their papers we have counts for
15 papers
An Explicit Total Lagrangian Fragile Points Method for Finite Deformation of Hyperelastic Materials
Konstantinos A. Mountris, Mingjing Li, Richard Schilling +4
This research explored a novel explicit total Lagrangian Fragile Points Method (FPM) for finite deformation of hyperelastic materials. In contrast to mesh-based methods, where mesh…
Collocation-based harmonic balance framework for highly accurate periodic solution of nonlinear dynamical system
Honghua Dai, Zipu Yan, Xuechuan Wang +2
Periodic dynamical systems ubiquitously exist in science and engineering. The harmonic balance (HB) method and its variants have been the most widely-used approaches for such syste…
Meshfree implementation of the cardiac monodomain model through the Fragile Points Method
Konstantinos A. Mountris, Leiting Dong, Yue Guan +2
Meshfree methods for in silico modelling and simulation of cardiac electrophysiology are gaining more and more popularity. These methods do not require a mesh and are more suitable…
A Fragile Points Method, with an interface debonding model, to simulate damage and fracture of U-notched structures
Kailei Wang, Baoying Shen, Mingjing Li +2
Notched components are commonly used in engineering structures, where stress concentration may easily lead to crack initiation and development. The main goal of this work is to dev…
Real-Time Prediction of Probabilistic Crack Growth with a Helicopter Component Digital Twin
Xuan Zhou, Shuangxin He, Leiting Dong +1
To deploy the airframe digital twin or to conduct probabilistic evaluations of the remaining life of a structural component, a (near) real-time crack-growth simulation method is cr…
Meshless Fragile Points Methods Based on Petrov-Galerkin Weak-Forms for Transient Heat Conduction Problems in Complex Anisotropic Nonhomogeneous Media
Yue Guan, Satya N. Atluri
Three kinds of Fragile Points Methods based on Petrov-Galerkin weak-forms (PG-FPMs) are proposed for analyzing heat conduction problems in nonhomogeneous anisotropic media. This is…
A New Meshless Fragile Points Method (FPM) With Minimum Unknowns at Each Point, For Flexoelectric Analysis Under Two Theories with Crack Propagation. Part II: Validation and discussion
Yue Guan, Leiting Dong, Satya N. Atluri
In the first part of this two-paper series, a new Fragile Points Method (FPM), in both primal and mixed formulations, is presented for analyzing flexoelectric effects in 2D dielect…
A New Meshless Fragile Points Method (FPM) With Minimum Unknowns at Each Point, For Flexoelectric Analysis Under Two Theories with Crack Propagation. Part I: Theory and Implementation
Yue Guan, Leiting Dong, Satya N. Atluri
Flexoelectricity refers to a phenomenon which involves a coupling of the mechanical strain gradient and electric polarization. In this study, a meshless Fragile Points Method (FPM)…
A New Meshless "Fragile Points Method (FPM)" Based on A Galerkin Weak-Form for 2D Flexoelectric Analysis
Yue Guan, Leiting Dong, Satya N. Atluri
A meshless Fragile Points Method (FPM) is presented for analyzing 2D flexoelectric problems. Local, simple, polynomial and discontinuous trial and test functions are generated with…
A New Meshless "Fragile Points Method" and A Local Variational Iteration Method for General Transient Heat Conduction in Anisotropic Nonhomogeneous Media
Yue Guan, Rade Grujicic, Xuechuan Wang +2
A new and effective computational approach is presented for analyzing transient heat conduction problems. The approach consists of a meshless Fragile Points Method (FPM) being util…
A Simple Galerkin Meshless Method, the Fragile Points Method (FPM) Using Point Stiffness Matrices, for 2D Linear Elastic Problems in Complex Domains with Crack and Rupture Propagation
Tian Yang, Leiting Dong, Satya N. Atluri
The Fragile Points Method (FPM) is an elementarily simple Galerkin meshless method, employing Point-based discontinuous trial and test functions only, without using element-based t…
Spherical nano-inhomogeneity with the Steigmann-Ogden interface model under general uniform far-field stress loading
Junbo Wang, Peng Yan, Leiting Dong +1
An explicit solution, considering the interface bending resistance as described by the Steigmann-Ogden interface model, is derived for the problem of a spherical nano-inhomogeneity…
Eshelby tensors and overall properties of nano-composites considering both interface stretching and bending effects
Junbo Wang, Peng Yan, Leiting Dong +1
In this study, the fundamental framework of analytical micromechanics is generalized to consider nano-composites with both interface stretching and bending effects. The interior an…
A new Fragile Points Method (FPM) in computational mechanics, based on the concepts of Point Stiffnesses and Numerical Flux Corrections
Leiting Dong, Tian Yang, Kailei Wang +1
In this paper, a new method, named the Fragile Points Method (FPM), is developed for computer modeling in engineering and sciences. In the FPM, simple, local, polynomial, discontin…
A Simple Local Variational Iteration Method and Related Algorithm for Nonlinear Science and Engineering
Xuechuan Wang, Qiuyi Xu, Satya N. Atluri
A very simple and efficient local variational iteration method for solving problems of nonlinear science is proposed in this paper. The analytical iteration formula of this method…