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A simple Galerkin meshless method, the Fragile Points method using point stiffness matrices, for 2D linear elastic problems in complex domains with crack and rupture propagation

International journal for numerical methods in engineering, 2021-01, Vol.122 (2), p.348-385

2021

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Combination of the variational iteration method and numerical algorithms for nonlinear problems

Applied Mathematical Modelling, 2020-03, Vol.79, p.243-259

2020

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Meshless fragile points methods based on Petrov‐Galerkin weak‐forms for transient heat conduction problems in complex anisotropic nonhomogeneous media

International journal for numerical methods in engineering, 2021-08, Vol.122 (16), p.4055-4092

2021

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Real-Time Prediction of Probabilistic Crack Growth with a Helicopter Component Digital Twin

AIAA journal, 2022-04, Vol.60 (4), p.2555-2567

2022

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A novel class of highly efficient and accurate time-integrators in nonlinear computational mechanics

Computational mechanics, 2017-05, Vol.59 (5), p.861-876

2017

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An implicit Updated Lagrangian Fragile Points Method with a support domain refinement scheme for solving large deformation problems

International journal for numerical methods in engineering, 2024-05, Vol.125 (10), p.n/a

2024

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Setting Adaptive Inspection Intervals in Helicopter Components, Based on a Digital Twin

AIAA journal, 2023-06, Vol.61 (6), p.2675-2688

2023

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A Fragile Points Method, with an interface debonding model, to simulate damage and fracture of U‐notched structures

International journal for numerical methods in engineering, 2022-04, Vol.123 (8), p.1736-1759

2022

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B-Spline Surface-Based Reduced-Order Modeling of Nonplanar Crack Growth in Structural Digital Twins

AIAA journal, 2024-01, Vol.62 (1), p.360-373

2024

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Copula-Based Collaborative Multistructure Damage Diagnosis and Prognosis for Fleet Maintenance Digital Twins

AIAA journal, 2023-10, Vol.61 (10), p.4735-4740

2023

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Collocation‐based harmonic balance framework for highly accurate periodic solution of nonlinear dynamical system

International journal for numerical methods in engineering, 2023-01, Vol.124 (2), p.458-481

2023

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Spherical nano-inhomogeneity with the Steigmann–Ogden interface model under general uniform far-field stress loading

International journal of solids and structures, 2020-03, Vol.185-186 (C), p.311-323

2020

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3D viscoelastic computational grains with spherical inclusions with or without interphases/coatings for micromechanical modeling of heterogeneous materials

International journal for numerical methods in engineering, 2021-09, Vol.122 (18), p.4966-4986

2021

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Harmonic Balance Methods: A Review and Recent Developments

Computer modeling in engineering & sciences, 2023, Vol.137 (2), p.1419-1459

2023

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Direct numerical simulation of complex nano‐structured composites, considering interface stretching and bending effects, using nano‐computational grains

International journal for numerical methods in engineering, 2021-03, Vol.122 (6), p.1476-1492

2021

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International journal for numerical methods in engineering, 2022-04, Vol.123 (8), p.i-i

2022

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Bifurcation analysis of stick–slip vibration in a 2-DOF nonlinear dynamical system with dry friction

Communications in nonlinear science & numerical simulation, 2022-08, Vol.111, p.106475, Article 106475

2022

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Bifurcation & chaos in nonlinear structural dynamics: Novel & highly efficient optimal-feedback accelerated Picard iteration algorithms

Communications in nonlinear science & numerical simulation, 2018-12, Vol.65, p.54-69

2018

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Improved non-dimensional dynamic influence function method for vibration analysis of arbitrarily shaped plates with clamped edges

Advances in mechanical engineering, 2016-03, Vol.8 (3), p.1

2016

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A time domain collocation method for studying the aeroelasticity of a two dimensional airfoil with a structural nonlinearity

Journal of computational physics, 2014-08, Vol.270, p.214-237

2014

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A new meshless "fragile points method" and a local variational iteration method for general transient heat conduction in anisotropic nonhomogeneous media. Part II: Validation and discussion

Numerical heat transfer. Part B, Fundamentals, 2020-08, Vol.78 (2), p.86-109

2020

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Simple and efficient analyses of micro-architected cellular elastic-plastic materials with tubular members

International journal of plasticity, 2017-12, Vol.99, p.186-220

2017

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A new meshless "fragile points method" and a local variational iteration method for general transient heat conduction in anisotropic nonhomogeneous media. Part I: Theory and implementation

Numerical heat transfer. Part B, Fundamentals, 2020-08, Vol.78 (2), p.71-85

2020

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The basis of meshless domain discretization: the meshless local Petrov?Galerkin (MLPG) method

Advances in computational mathematics, 2005-07, Vol.23 (1-2), p.73-93

2005

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Feedback-Accelerated Picard Iteration for Orbit Propagation and Lambert’s Problem

Journal of guidance, control, and dynamics, 2017-10, Vol.40 (10), p.2442-2451

2017

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A simple Galerkin meshless method, the Fragile Points method using point stiffness matrices, for 2D linear elastic problems in complex domains with crack and rupture propagation

Combination of the variational iteration method and numerical algorithms for nonlinear problems

Meshless fragile points methods based on Petrov‐Galerkin weak‐forms for transient heat conduction problems in complex anisotropic nonhomogeneous media

Real-Time Prediction of Probabilistic Crack Growth with a Helicopter Component Digital Twin

A novel class of highly efficient and accurate time-integrators in nonlinear computational mechanics

An implicit Updated Lagrangian Fragile Points Method with a support domain refinement scheme for solving large deformation problems

Setting Adaptive Inspection Intervals in Helicopter Components, Based on a Digital Twin

A Fragile Points Method, with an interface debonding model, to simulate damage and fracture of U‐notched structures

B-Spline Surface-Based Reduced-Order Modeling of Nonplanar Crack Growth in Structural Digital Twins

Copula-Based Collaborative Multistructure Damage Diagnosis and Prognosis for Fleet Maintenance Digital Twins

Collocation‐based harmonic balance framework for highly accurate periodic solution of nonlinear dynamical system

Spherical nano-inhomogeneity with the Steigmann–Ogden interface model under general uniform far-field stress loading

3D viscoelastic computational grains with spherical inclusions with or without interphases/coatings for micromechanical modeling of heterogeneous materials

Harmonic Balance Methods: A Review and Recent Developments

Direct numerical simulation of complex nano‐structured composites, considering interface stretching and bending effects, using nano‐computational grains

Featured Cover

Bifurcation analysis of stick–slip vibration in a 2-DOF nonlinear dynamical system with dry friction

Bifurcation & chaos in nonlinear structural dynamics: Novel & highly efficient optimal-feedback accelerated Picard iteration algorithms

Improved non-dimensional dynamic influence function method for vibration analysis of arbitrarily shaped plates with clamped edges

A time domain collocation method for studying the aeroelasticity of a two dimensional airfoil with a structural nonlinearity

A new meshless "fragile points method" and a local variational iteration method for general transient heat conduction in anisotropic nonhomogeneous media. Part II: Validation and discussion

Simple and efficient analyses of micro-architected cellular elastic-plastic materials with tubular members

A new meshless "fragile points method" and a local variational iteration method for general transient heat conduction in anisotropic nonhomogeneous media. Part I: Theory and implementation

The basis of meshless domain discretization: the meshless local Petrov?Galerkin (MLPG) method

Feedback-Accelerated Picard Iteration for Orbit Propagation and Lambert’s Problem

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