activity
20122024
most citedAn Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications

2.1k citations · 15.7k across the 131 of their papers we have counts for

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Showing 2012Show all

9 papers · 1 filter

math.NA2012★ 335 cited

NURBS-based finite element analysis of functionally graded plates: static bending, vibration, buckling and flutter

Navid Valizadeh, Sundararajan Natarajan, Octavio A Gonzalez-Estrada +3

In this paper, a non-uniform rational B-spline based iso-geometric finite element method is used to study the static and dynamic characteristics of functionally graded material (FG…

cond-mat.mtrl-sci2012★ 30 cited

A Surface Stacking Fault Energy Approach to Predicting Defect Nucleation in Surface-Dominated Nanostructures

Jin-Wu Jiang, Austin M. Leach, Ken Gall +2

We present a surface stacking fault (SSF) energy approach to predicting defect nucleation from the surfaces of surface-dominated nanostructure such as FCC metal nanowires. The appr…

cond-mat.mtrl-sci2012★ 31 cited

A comparative study of two molecular mechanics models based on harmonic potentials

Junhua Zhao, Lifeng Wang, Jin-Wu Jiang +3

We show that the two molecular mechanics models, the stick-spiral and the beam models, predict considerably different mechanical properties of materials based on energy equivalence…

cond-mat.mes-hall2012★ 46 cited

Enhancing the Mass Sensitivity of Graphene Nanoresonators Via Nonlinear Oscillations: The Effective Strain Mechanism

Jin-Wu Jiang, Harold S. Park, Timon Rabczuk

We perform classical molecular dynamics simulations to investigate the enhancement of the mass sensitivity and resonant frequency of graphene nanomechanical resonators that is achi…

physics.class-ph2012★ 150 cited

A partitioned model order reduction approach to rationalise computational expenses in multiscale fracture mechanics

Pierre Kerfriden, Olivier Goury, Timon Rabczuk +1

We propose in this paper an adaptive reduced order modelling technique based on domain partitioning for parametric problems of fracture. We show that coupling domain decomposition…

math.NA2012★ 721 cited

Isogeometric analysis: an overview and computer implementation aspects

Vinh Phu Nguyen, Stéphane P. A. Bordas, Timon Rabczuk

Isogeometric analysis (IGA) represents a recently developed technology in computational mechanics that offers the possibility of integrating methods for analysis and Computer Aided…