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Freed, Alan David

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Author ID: freed.alan-david Recent zbMATH articles by "Freed, Alan David"
Published as: Freed, Alan D.; Freed, A. D.; Freed, A.; Freed, Alan David
External Links: ORCID
Documents Indexed: 28 Publications since 1989, including 1 Book

Publications by Year

Citations contained in zbMATH Open

20 Publications have been cited 1,170 times in 947 Documents Cited by Year
A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
577
2002
Detailed error analysis for a fractional Adams method. Zbl 1055.65098
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
294
2004
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
196
2005
An implicit elastic theory for lung parenchyma. Zbl 1423.74612
Freed, Alan D.; Einstein, Daniel R.
16
2013
Logarithmic strain and its material derivative for a QR decomposition of the deformation gradient. Zbl 1325.74015
Freed, A. D.; Srinivasa, A. R.
11
2015
Caputo derivatives in viscoelasticity: a non-linear finite-deformation theory for tissue. Zbl 1152.26303
Freed, Alan D.; Diethelm, Kai
10
2007
Soft solids. A primer to the theoretical mechanics of materials. Zbl 1296.74002
Freed, Alan D.
10
2014
A viscoplastic theory with thermodynamic considerations. Zbl 0749.73032
Freed, A. D.; Chaboche, J.-L.; Walker, K. P.
9
1991
An efficient algorithm for the evaluation of convolution integrals. Zbl 1093.65022
Diethelm, K.; Freed, A. D.
9
2006
Viscoplasticity with creep and plasticity bounds. Zbl 0772.73029
Freed, Alan D.; Walker, Kevin P.
8
1993
A promising approach for modeling biological fibers. Zbl 1341.74123
Freed, Alan D.; Rajagopal, K. R.
5
2016
Hencky strain and logarithmic rates in Lagrangian analysis. Zbl 1423.74012
Freed, A. D.
5
2014
On the use of convected coordinate systems in the mechanics of continuous media derived from a \(\mathbf{QR}\) factorization of F. Zbl 1423.74027
Freed, Alan D.; Zamani, Shahla
5
2018
A decomposition of Laplace stretch with applications in inelasticity. Zbl 1459.74005
Freed, Alan D.; le Graverend, Jean-Briac; Rajagopal, K. R.
4
2019
A note on stress/strain conjugate pairs: explicit and implicit theories of thermoelasticity for anisotropic materials. Zbl 1423.74018
Freed, A. D.
3
2017
Accuracy of the generalized self-consistent method in modelling the elastic behaviour of periodic composites. Zbl 0817.73039
Walker, Kevin P.; Freed, Alan D.; Jordan, Eric H.
2
1993
Hypoelastic soft tissues. I: Theory. Zbl 1320.74021
Freed, Alan David
2
2010
A simple and practical representation of compatibility condition derived using a QR decomposition of the deformation gradient. Zbl 1440.74005
Paul, Sandipan; Freed, Alan D.
2
2020
Body tensor formalism in finite deformation elasticity. I: Description and constitutive equation. Zbl 0687.73045
Sachs, A.; Celikkol, B.; Freed, A.
1
1989
Hypoelastic soft tissues. II: In-plane biaxial experiments. Zbl 1320.74020
Freed, Alan D.; Einstein, Daniel R.; Sacks, Michael S.
1
2010
A simple and practical representation of compatibility condition derived using a QR decomposition of the deformation gradient. Zbl 1440.74005
Paul, Sandipan; Freed, Alan D.
2
2020
A decomposition of Laplace stretch with applications in inelasticity. Zbl 1459.74005
Freed, Alan D.; le Graverend, Jean-Briac; Rajagopal, K. R.
4
2019
On the use of convected coordinate systems in the mechanics of continuous media derived from a \(\mathbf{QR}\) factorization of F. Zbl 1423.74027
Freed, Alan D.; Zamani, Shahla
5
2018
A note on stress/strain conjugate pairs: explicit and implicit theories of thermoelasticity for anisotropic materials. Zbl 1423.74018
Freed, A. D.
3
2017
A promising approach for modeling biological fibers. Zbl 1341.74123
Freed, Alan D.; Rajagopal, K. R.
5
2016
Logarithmic strain and its material derivative for a QR decomposition of the deformation gradient. Zbl 1325.74015
Freed, A. D.; Srinivasa, A. R.
11
2015
Soft solids. A primer to the theoretical mechanics of materials. Zbl 1296.74002
Freed, Alan D.
10
2014
Hencky strain and logarithmic rates in Lagrangian analysis. Zbl 1423.74012
Freed, A. D.
5
2014
An implicit elastic theory for lung parenchyma. Zbl 1423.74612
Freed, Alan D.; Einstein, Daniel R.
16
2013
Hypoelastic soft tissues. I: Theory. Zbl 1320.74021
Freed, Alan David
2
2010
Hypoelastic soft tissues. II: In-plane biaxial experiments. Zbl 1320.74020
Freed, Alan D.; Einstein, Daniel R.; Sacks, Michael S.
1
2010
Caputo derivatives in viscoelasticity: a non-linear finite-deformation theory for tissue. Zbl 1152.26303
Freed, Alan D.; Diethelm, Kai
10
2007
An efficient algorithm for the evaluation of convolution integrals. Zbl 1093.65022
Diethelm, K.; Freed, A. D.
9
2006
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
196
2005
Detailed error analysis for a fractional Adams method. Zbl 1055.65098
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
294
2004
A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
577
2002
Viscoplasticity with creep and plasticity bounds. Zbl 0772.73029
Freed, Alan D.; Walker, Kevin P.
8
1993
Accuracy of the generalized self-consistent method in modelling the elastic behaviour of periodic composites. Zbl 0817.73039
Walker, Kevin P.; Freed, Alan D.; Jordan, Eric H.
2
1993
A viscoplastic theory with thermodynamic considerations. Zbl 0749.73032
Freed, A. D.; Chaboche, J.-L.; Walker, K. P.
9
1991
Body tensor formalism in finite deformation elasticity. I: Description and constitutive equation. Zbl 0687.73045
Sachs, A.; Celikkol, B.; Freed, A.
1
1989
all top 5

Cited by 1,393 Authors

33 Băleanu, Dumitru I.
21 Li, Changpin
18 Ford, Neville J.
17 Daftardar-Gejji, Varsha
17 Garrappa, Roberto
17 Gómez-Aguilar, José Francisco
17 Liu, Fawang
16 Bhalekar, Sachin
15 Danca, Marius-Florin
14 Freed, Alan David
13 Momani, Shaher M.
12 Atangana, Abdon
12 Deng, Weihua
10 Turner, Ian William
9 Diethelm, Kai
9 Karniadakis, George Em
9 Zeng, Fanhai
8 Haeri, Mohammad
8 Tavazoei, Mohammad Saleh
8 Torres, Delfim Fernando Marado
7 Cafagna, Donato
7 Chen, Yangquan
7 El-Sayed, Ahmed Mohamed Ahmed
7 Grassi, Giuseppe
7 Machado, José António Tenreiro
7 Wu, Xiangjun
7 Yan, Yubin
7 Yang, Lixin
7 Yu, Yongguang
6 Aghababa, Mohammad Pourmahmood
6 Anh, Vo V.
6 Bhrawy, Ali Hassan
6 Bustamante, Roger
6 Dehghan Takht Fooladi, Mehdi
6 El-Saka, Hala A. A.
6 Hong, Ling
6 Liu, Chongxin
6 Luchko, Yurii F.
6 Odibat, Zaid M.
6 Pham, Viet-Thanh
6 Popolizio, Marina
6 Salman, Sanaa Moussa
6 Sousa, Ercília
6 Wang, Zhen
6 Zayernouri, Mohsen
6 Zeng, Caibin
5 Chen, Guanrong
5 Chen, Wen
5 Doungmo Goufo, Emile Franc
5 Escobar-Jiménez, Ricardo Fabricio
5 Hashim, Ishak
5 Jang, Bongsoo
5 Javidi, Mohammad
5 Kingni, Sifeu Takougang
5 Magin, Richard Lloyd
5 Meerschaert, Mark Marvin
5 Rajagopal, Kumbakonam Ramamani
5 Rihan, Fathalla A.
5 Saadatmandi, Abbas
5 Shahbazi Asl, Mohammad
5 Woafo, Paul
5 Zhang, Zhongqiang
4 Ahmadian, Ali
4 Burrage, Kevin
4 Calderón-Ramón, Celia
4 Cao, Jinde
4 Ezz-Eldien, Samer S.
4 Fečkan, Michal
4 Gafiychuk, Vasyl V.
4 Ghanbari, Behzad
4 Ghayesh, Mergen H.
4 Gholipour, Alireza
4 Henry, Bruce I.
4 Huang, Xia
4 Kuntanapreeda, Suwat
4 Moaddy, Khaled
4 Nieto Roig, Juan Jose
4 Olivares-Peregrino, Victor Hugo
4 Owolabi, Kolade Matthew
4 Özdemir, Necati
4 Rakkiyappan, Rajan
4 Rebelo, Magda S.
4 Saha Ray, Santanu
4 Salahshour, Soheil
4 Sweilam, Nasser Hassan
4 Trujillo, Juan J.
4 Vasylyeva, Nataliya V.
4 Wang, Dongling
4 Wang, Junwei
4 Wu, Guocheng
4 Wu, Ranchao
4 Xiao, Aiguo
4 Yang, Qigui
4 Yépez-Martínez, Huitzilin
4 Yüzbaşı, Şuayip
4 Zander, Anthony C.
4 Zeid, Samaneh Soradi
4 Zhao, Lijing
3 Adibi, Hojatollah
3 Agrawal, Om Prakash
...and 1,293 more Authors
all top 5

Cited in 170 Serials

81 Nonlinear Dynamics
46 Chaos, Solitons and Fractals
45 Communications in Nonlinear Science and Numerical Simulation
39 Computers & Mathematics with Applications
39 Fractional Calculus & Applied Analysis
37 Applied Mathematics and Computation
37 Journal of Computational and Applied Mathematics
34 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
32 Advances in Difference Equations
23 Journal of Computational Physics
22 Applied Mathematical Modelling
20 Mathematical Problems in Engineering
20 Abstract and Applied Analysis
17 Chaos
16 Acta Mechanica
16 Applied Numerical Mathematics
14 Computational and Applied Mathematics
11 Computer Methods in Applied Mechanics and Engineering
11 Discrete Dynamics in Nature and Society
10 International Journal of Engineering Science
10 Journal of Vibration and Control
10 International Journal of Biomathematics
9 Mathematical Methods in the Applied Sciences
9 Mathematics and Computers in Simulation
9 International Journal of Computer Mathematics
9 Complexity
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Numerical Algorithms
8 SIAM Journal on Scientific Computing
8 International Journal of Applied and Computational Mathematics
7 Journal of Scientific Computing
7 Mathematical Modelling of Natural Phenomena
7 Advances in Mathematical Physics
6 Signal Processing
6 Mathematics
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 SIAM Journal on Numerical Analysis
5 International Journal of Differential Equations
5 Asian Journal of Control
4 International Journal of Plasticity
4 Advances in Computational Mathematics
4 International Journal of Nonlinear Sciences and Numerical Simulation
4 Discrete and Continuous Dynamical Systems. Series B
4 Computational Methods in Applied Mathematics
4 Mediterranean Journal of Mathematics
4 Journal of Nonlinear Science and Applications
3 International Journal of Modern Physics B
3 Mathematical Biosciences
3 Physica A
3 Journal of Optimization Theory and Applications
3 Physica D
3 Applied Mathematics Letters
3 Mathematical and Computer Modelling
3 Neural Networks
3 Journal of Elasticity
3 Journal of the Egyptian Mathematical Society
3 Differential Equations and Dynamical Systems
3 Journal of Applied Mathematics
3 S\(\vec{\text{e}}\)MA Journal
3 Journal of Applied Analysis and Computation
3 Fractional Differential Calculus
3 Journal of Mathematics
2 International Journal of Control
2 International Journal of Solids and Structures
2 Journal of the Franklin Institute
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Physics
2 Automatica
2 BIT
2 International Journal for Numerical Methods in Engineering
2 Meccanica
2 Numerical Functional Analysis and Optimization
2 SIAM Journal on Control and Optimization
2 Circuits, Systems, and Signal Processing
2 Computational Mechanics
2 Numerical Methods for Partial Differential Equations
2 Journal of Integral Equations and Applications
2 Continuum Mechanics and Thermodynamics
2 Fractals
2 NoDEA. Nonlinear Differential Equations and Applications
2 Engineering Analysis with Boundary Elements
2 Vietnam Journal of Mathematics
2 International Journal of Theoretical and Applied Finance
2 European Journal of Mechanics. A. Solids
2 The ANZIAM Journal
2 Differential Equations
2 Nonlinear Analysis. Real World Applications
2 Nonlinear Analysis. Modelling and Control
2 Matematicheskoe Modelirovanie
2 Iranian Journal of Science and Technology. Transaction A: Science
2 Journal of Applied Mathematics and Computing
2 SIAM Journal on Financial Mathematics
2 Symmetry
2 Journal of Theoretical Biology
2 Mathematical Sciences
2 East Asian Journal on Applied Mathematics
2 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Modern Physics Letters B
1 Archive for Rational Mechanics and Analysis
1 Computers and Fluids
...and 70 more Serials
all top 5

Cited in 36 Fields

539 Ordinary differential equations (34-XX)
377 Numerical analysis (65-XX)
247 Real functions (26-XX)
157 Partial differential equations (35-XX)
128 Dynamical systems and ergodic theory (37-XX)
119 Biology and other natural sciences (92-XX)
109 Systems theory; control (93-XX)
85 Integral equations (45-XX)
78 Mechanics of deformable solids (74-XX)
29 Information and communication theory, circuits (94-XX)
26 Special functions (33-XX)
25 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
23 Probability theory and stochastic processes (60-XX)
23 Fluid mechanics (76-XX)
21 Calculus of variations and optimal control; optimization (49-XX)
20 Approximations and expansions (41-XX)
19 Operator theory (47-XX)
19 Mechanics of particles and systems (70-XX)
15 Integral transforms, operational calculus (44-XX)
12 Statistical mechanics, structure of matter (82-XX)
6 Functions of a complex variable (30-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Computer science (68-XX)
6 Optics, electromagnetic theory (78-XX)
6 Operations research, mathematical programming (90-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Measure and integration (28-XX)
3 Functional analysis (46-XX)
3 Differential geometry (53-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Quantum theory (81-XX)
3 Geophysics (86-XX)
2 Difference and functional equations (39-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 Combinatorics (05-XX)
1 Sequences, series, summability (40-XX)

Citations by Year