Jacob Fish
Columbia University
AlgorithmPhysicsStatistical physicsMathematical optimizationMathematical analysisFinite element methodMultigrid methodNonlinear systemComposite materialBoundary value problemMaterials scienceGeometryContinuum (measurement)Applied mathematicsReduced orderMathematicsHomogenization (chemistry)Computer scienceNumerical analysisMechanicsStructural engineering
239Publications
52H-index
7,357Citations
Publications 237
Newest
#1He Liu (CAS: Chinese Academy of Sciences)
#3Hao Ma (WHU: Wuhan University)H-Index: 5
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#1Jacob Fish (Columbia University)H-Index: 52
#2Gregory J. Wagner (NU: Northwestern University)H-Index: 33
Last. Sinan Keten (NU: Northwestern University)H-Index: 34
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The concept of multiscale modelling has emerged over the last few decades to describe procedures that seek to simulate continuum-scale behaviour using information gleaned from computational models of finer scales in the system, rather than resorting to empirical constitutive models. A large number of such methods have been developed, taking a range of approaches to bridging across multiple length and time scales. Here we introduce some of the key concepts of multiscale modelling and present a sa...
1 CitationsSource
#1He Liu (CAS: Chinese Academy of Sciences)
#2Quansheng Liu (CAS: Chinese Academy of Sciences)H-Index: 24
Last. Jacob Fish (Columbia University)H-Index: 52
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Abstract Accurate load identification is vital for the structural optimization design and the structural health monitoring in different engineering disciplines. However, the external loads usually are difficult to determine with direct measurements. In the present manuscript, an efficient and robust method is proposed to identify the distributed static or quasi-static loads on linear-elastic structures. The superimposed loading mesh approach is proposed to map the unknown loads, and nodal values...
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#1Wei Sun (SYSU: Sun Yat-sen University)
#1Wei Sun (SYSU: Sun Yat-sen University)
Last. Jacob Fish (Columbia University)H-Index: 52
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#1Timothy Artz (Columbia University)H-Index: 2
#2Zifeng Yuan (Columbia University)H-Index: 6
Last. Jacob Fish (Columbia University)H-Index: 52
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Abstract The manuscript presents a novel reduced order homogenization model for oxidation-assisted rupture in SiC/SiC composites at intermediate temperatures. Starting with a one-dimensional model based on the slow crack growth model originally proposed by Iyengar and Curtin, which is subsequently generalized to three dimensions focusing on the woven composite architecture. The proposed oxidation-assisted rupture model is developed within the framework of continuum damage mechanics where the con...
1 CitationsSource
#1Yang Jiao (Columbia University)H-Index: 5
#2Jacob Fish (Columbia University)H-Index: 52
Abstract Silica-based glass may possess paradoxically high resistance to hypervelocity impact due to the experimentally observed phase change emanating from high pressure characteristic to hypervelocity impact combined with irreversible densification of the material, which leads to a highly efficient kinetic energy-absorption mechanism. In order to capture this extraordinary behavior of silica glass in hypervelocity impact, a coupled thermo-mechanical model is developed in the framework of therm...
1 CitationsSource
#1Wentao XuH-Index: 1
#2Yang JiaoH-Index: 5
Last. Jacob FishH-Index: 52
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An atomistically-informed constitutive model based on multiplicative hyper-elasto-plasticity with damage is developed for the study of high-pressure induced densification of silica glass. At the atomistic level, a molecular dynamics (MD) representative volume element of amorphous silica (a-SiO2) is first constructed using the melt-quench approach. Within the MD framework, the deformation response of the RVE at different pressure and strain-rate levels is investigated. Results from the volumetric...
2 CitationsSource
#1Zifeng Yuan (PKU: Peking University)H-Index: 6
#2Venkat Aitharaju (GM: General Motors)H-Index: 6
Last. Jacob Fish (Columbia University)H-Index: 52
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3 CitationsSource
#1Wei Sun (THU: Tsinghua University)H-Index: 3
#2Jacob Fish (Columbia University)H-Index: 52
Last. Ga Zhang (THU: Tsinghua University)H-Index: 1
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Superposition of non-ordinary state-based peridynamics and finite element method for material failure simulations, including crack propagation and strain localization is developed. By this approach, a peridynamic model capable of effectively treating strong and weak discontinuities is superimposed in the critical regions over an underlying finite element mesh placed over the entire problem domain. A rigorous variational framework of coupling local finite element and nonlocal peridynamics approxi...
5 CitationsSource