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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, Alan David
External Links: ORCID
Documents Indexed: 31 Publications since 1989, including 1 Book and 2 Additional arXiv Preprints
Software Indexed: 1 Package
Co-Authors: 16 Co-Authors with 21 Joint Publications
281 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

24 Publications have been cited 1,812 times in 1,479 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.
940
2002
Detailed error analysis for a fractional Adams method. Zbl 1055.65098
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
440
2004
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
266
2005
An implicit elastic theory for lung parenchyma. Zbl 1423.74612
Freed, Alan D.; Einstein, Daniel R.
17
2013
Logarithmic strain and its material derivative for a QR decomposition of the deformation gradient. Zbl 1325.74015
Freed, A. D.; Srinivasa, A. R.
16
2015
Soft solids. A primer to the theoretical mechanics of materials. Zbl 1296.74002
Freed, Alan D.
16
2014
An efficient algorithm for the evaluation of convolution integrals. Zbl 1093.65022
Diethelm, K.; Freed, A. D.
15
2006
Caputo derivatives in viscoelasticity: a non-linear finite-deformation theory for tissue. Zbl 1152.26303
Freed, Alan D.; Diethelm, Kai
12
2007
A viscoplastic theory with thermodynamic considerations. Zbl 0749.73032
Freed, A. D.; Chaboche, J.-L.; Walker, K. P.
10
1991
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
9
2018
A promising approach for modeling biological fibers. Zbl 1341.74123
Freed, Alan D.; Rajagopal, K. R.
9
2016
Viscoplasticity with creep and plasticity bounds. Zbl 0772.73029
Freed, Alan D.; Walker, Kevin P.
8
1993
A note on stress/strain conjugate pairs: explicit and implicit theories of thermoelasticity for anisotropic materials. Zbl 1423.74018
Freed, A. D.
6
2017
A decomposition of Laplace stretch with applications in inelasticity. Zbl 1459.74005
Freed, Alan D.; le Graverend, Jean-Briac; Rajagopal, K. R.
6
2019
Hencky strain and logarithmic rates in Lagrangian analysis. Zbl 1423.74012
Freed, A. D.
5
2014
Hypoelastic soft tissues. II: In-plane biaxial experiments. Zbl 1320.74020
Freed, Alan D.; Einstein, Daniel R.; Sacks, Michael S.
5
2010
Hypoelastic soft tissues. I: Theory. Zbl 1320.74021
Freed, Alan David
4
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.
4
2020
A constitutive framework for finite viscoelasticity and damage based on the Gram-Schmidt decomposition. Zbl 1440.74003
Clayton, John D.; Freed, A. D.
4
2020
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.
3
1993
Elastic Kelvin-Poisson-Poynting solids described through scalar conjugate stress/strain pairs derived from a QR factorization of \(\mathsf{F}\). Zbl 1467.74006
Freed, A. D.; Zamani, S.
3
2019
Laplace stretch: Eulerian and Lagrangian formulations. Zbl 1462.74012
Freed, Alan D.; Zamani, Shahla; Szabó, László; Clayton, John D.
3
2020
Characterizing geometrically necessary dislocations using an elastic-plastic decomposition of Laplace stretch. Zbl 1478.53013
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
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.
4
2020
A constitutive framework for finite viscoelasticity and damage based on the Gram-Schmidt decomposition. Zbl 1440.74003
Clayton, John D.; Freed, A. D.
4
2020
Laplace stretch: Eulerian and Lagrangian formulations. Zbl 1462.74012
Freed, Alan D.; Zamani, Shahla; Szabó, László; Clayton, John D.
3
2020
Characterizing geometrically necessary dislocations using an elastic-plastic decomposition of Laplace stretch. Zbl 1478.53013
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.
6
2019
Elastic Kelvin-Poisson-Poynting solids described through scalar conjugate stress/strain pairs derived from a QR factorization of \(\mathsf{F}\). Zbl 1467.74006
Freed, A. D.; Zamani, S.
3
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
9
2018
A note on stress/strain conjugate pairs: explicit and implicit theories of thermoelasticity for anisotropic materials. Zbl 1423.74018
Freed, A. D.
6
2017
A promising approach for modeling biological fibers. Zbl 1341.74123
Freed, Alan D.; Rajagopal, K. R.
9
2016
Logarithmic strain and its material derivative for a QR decomposition of the deformation gradient. Zbl 1325.74015
Freed, A. D.; Srinivasa, A. R.
16
2015
Soft solids. A primer to the theoretical mechanics of materials. Zbl 1296.74002
Freed, Alan D.
16
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.
17
2013
Hypoelastic soft tissues. II: In-plane biaxial experiments. Zbl 1320.74020
Freed, Alan D.; Einstein, Daniel R.; Sacks, Michael S.
5
2010
Hypoelastic soft tissues. I: Theory. Zbl 1320.74021
Freed, Alan David
4
2010
Caputo derivatives in viscoelasticity: a non-linear finite-deformation theory for tissue. Zbl 1152.26303
Freed, Alan D.; Diethelm, Kai
12
2007
An efficient algorithm for the evaluation of convolution integrals. Zbl 1093.65022
Diethelm, K.; Freed, A. D.
15
2006
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
266
2005
Detailed error analysis for a fractional Adams method. Zbl 1055.65098
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
440
2004
A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
940
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.
3
1993
A viscoplastic theory with thermodynamic considerations. Zbl 0749.73032
Freed, A. D.; Chaboche, J.-L.; Walker, K. P.
10
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 2,286 Authors

49 Băleanu, Dumitru I.
31 Gómez-Aguilar, José Francisco
25 Li, Changpin
21 Garrappa, Roberto
20 Danca, Marius-Florin
20 Ford, Neville J.
17 Daftardar-Gejji, Varsha
17 Liu, Fawang
17 Momani, Shaher M.
16 Atangana, Abdon
16 Deng, Weihua
15 Cao, Jinde
15 Freed, Alan David
13 Bhalekar, Sachin
13 Yu, Yongguang
12 Odibat, Zaid M.
11 Diethelm, Kai
11 Karniadakis, George Em
11 Kumar, Sachin
11 Kumar, Sunil
11 Matouk, Ahmed Ezzat
11 Zeng, Fanhai
10 Haeri, Mohammad
10 Lenka, Bichitra Kumar
10 Tavazoei, Mohammad Saleh
10 Turner, Ian William
10 Wu, Guocheng
10 Xu, Wei
9 Chen, Yangquan
9 Doungmo Goufo, Emile Franc
9 Machado, José António Tenreiro
9 Owolabi, Kolade Matthew
9 Rajagopal, Kumbakonam Ramamani
9 Yan, Yubin
9 Yang, Lixin
8 Bustamante, Roger
8 Chen, Guanrong
8 Jin, Ting
8 Liu, Xiao Jun
8 Qureshi, Sania
8 Torres, Delfim Fernando Marado
8 Wu, Xiangjun
8 Zayernouri, Mohsen
8 Zhu, Yuanguo
7 Aghababa, Mohammad Pourmahmood
7 Ahmadian, Ali
7 Al-saedi, Ahmed Eid Salem
7 Baishya, Chandrali
7 Cafagna, Donato
7 Das, Subir
7 El-Saka, Hala A. A.
7 El-Sayed, Ahmed Mohamed Ahmed
7 Escobar-Jiménez, Ricardo Fabricio
7 Grassi, Giuseppe
7 Hashim, Ishak
7 Kheiri, Hossein
7 Pham, Viet-Thanh
7 Popolizio, Marina
7 Salahshour, Soheil
7 Wang, Zhen
7 Yüzbaşı, Şuayip
7 Zeng, Caibin
6 Anh, Vo V.
6 Bhrawy, Ali Hassan
6 Chen, Yanmao
6 Dehghan Takht Fooladi, Mehdi
6 Ghanbari, Behzad
6 Hong, Ling
6 Jang, Bongsoo
6 Javidi, Mohammad
6 Kingni, Sifeu Takougang
6 Liu, Chongxin
6 Liu, Jike
6 Luchko, Yurii F.
6 Magin, Richard Lloyd
6 Meerschaert, Mark Marvin
6 Nieto Roig, Juan Jose
6 Rakkiyappan, Rajan
6 Salman, Sanaa Moussa
6 Singh, Harendra Prasad
6 Sousa, Ercília
6 Veeresha, Pundikala
6 Wang, Junwei
6 Zhang, Zhongqiang
5 Abdullah, Farah Aini
5 Alsaadi, Fuad Eid Salem
5 Bora, Swaroop Nandan
5 Burrage, Kevin
5 Chauhan, Ram P.
5 Chen, Wen
5 Jiang, Jun
5 Kaslik, Eva
5 Lu, Junguo
5 Özdemir, Necati
5 Pandey, Prashant K.
5 Parovik, Roman Ivanovich
5 Rebelo, Magda S.
5 Rihan, Fathalla A.
5 Saadatmandi, Abbas
5 Shahbazi Asl, Mohammad
...and 2,186 more Authors
all top 5

Cited in 228 Serials

90 Chaos, Solitons and Fractals
86 Nonlinear Dynamics
72 Communications in Nonlinear Science and Numerical Simulation
61 Mathematical Methods in the Applied Sciences
50 Fractional Calculus & Applied Analysis
47 Advances in Difference Equations
46 Applied Mathematics and Computation
45 Journal of Computational and Applied Mathematics
42 Computers & Mathematics with Applications
38 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
31 Applied Mathematical Modelling
25 Journal of Computational Physics
23 Acta Mechanica
22 Chaos
21 Mathematics and Computers in Simulation
21 Computational and Applied Mathematics
21 Mathematical Problems in Engineering
20 Physica A
20 Applied Numerical Mathematics
20 Abstract and Applied Analysis
19 International Journal of Computer Mathematics
16 Fractals
15 Computer Methods in Applied Mechanics and Engineering
15 Journal of Scientific Computing
15 Discrete Dynamics in Nature and Society
14 International Journal of Engineering Science
14 Physics Letters. A
13 International Journal of Biomathematics
12 Numerical Algorithms
12 International Journal of Applied and Computational Mathematics
11 Numerical Methods for Partial Differential Equations
11 Journal of Applied Mathematics and Computing
10 Journal of Vibration and Control
10 Chinese Journal of Physics (Taipei)
10 Advances in Mathematical Physics
10 Asian Journal of Control
9 Complexity
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 SIAM Journal on Scientific Computing
8 International Journal of Nonlinear Sciences and Numerical Simulation
8 Mathematical Modelling of Natural Phenomena
8 International Journal of Differential Equations
7 Discrete and Continuous Dynamical Systems. Series S
6 Journal of the Franklin Institute
6 Neural Networks
6 Signal Processing
6 Quantitative Finance
6 S\(\vec{\text{e}}\)MA Journal
6 Journal of Applied Analysis and Computation
6 Mathematics
6 AIMS Mathematics
5 International Journal of Modern Physics B
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 SIAM Journal on Numerical Analysis
5 Circuits, Systems, and Signal Processing
5 Applied Mathematics Letters
5 Nonlinear Analysis. Modelling and Control
5 Discrete and Continuous Dynamical Systems. Series B
5 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki
4 International Journal of Plasticity
4 BIT
4 Physica D
4 Journal of Elasticity
4 Journal of the Egyptian Mathematical Society
4 Advances in Computational Mathematics
4 Soft Computing
4 Computational Methods in Applied Mathematics
4 Mediterranean Journal of Mathematics
4 Journal of Nonlinear Science and Applications
4 Mathematical Sciences
4 Fractional Differential Calculus
4 International Journal of Systems Science. Principles and Applications of Systems and Integration
3 Journal of the Mechanics and Physics of Solids
3 Mathematical Biosciences
3 International Journal for Numerical Methods in Engineering
3 Journal of Optimization Theory and Applications
3 Meccanica
3 Computational Mechanics
3 Mathematical and Computer Modelling
3 Journal of Mathematical Sciences (New York)
3 Mathematics and Mechanics of Solids
3 Differential Equations and Dynamical Systems
3 International Journal of Theoretical and Applied Finance
3 European Journal of Mechanics. A. Solids
3 Journal of Applied Mathematics
3 Nonlinear Dynamics and Systems Theory
3 Journal of Industrial and Management Optimization
3 SIAM Journal on Financial Mathematics
3 Advances in Applied Mathematics and Mechanics
3 Journal of Mathematics
3 Journal of Applied Nonlinear Dynamics
3 East Asian Journal on Applied Mathematics
3 Journal of Function Spaces
3 Computational Methods for Differential Equations
3 Results in Applied Mathematics
2 Computer Physics Communications
2 International Journal of Control
2 International Journal of Solids and Structures
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Physics
...and 128 more Serials
all top 5

Cited in 39 Fields

866 Ordinary differential equations (34-XX)
567 Numerical analysis (65-XX)
401 Real functions (26-XX)
262 Biology and other natural sciences (92-XX)
244 Partial differential equations (35-XX)
183 Dynamical systems and ergodic theory (37-XX)
180 Systems theory; control (93-XX)
109 Mechanics of deformable solids (74-XX)
103 Integral equations (45-XX)
52 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
42 Probability theory and stochastic processes (60-XX)
40 Special functions (33-XX)
38 Information and communication theory, circuits (94-XX)
37 Fluid mechanics (76-XX)
31 Calculus of variations and optimal control; optimization (49-XX)
29 Operator theory (47-XX)
29 Statistical mechanics, structure of matter (82-XX)
28 Approximations and expansions (41-XX)
22 Mechanics of particles and systems (70-XX)
19 Integral transforms, operational calculus (44-XX)
15 Computer science (68-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
14 Operations research, mathematical programming (90-XX)
11 Difference and functional equations (39-XX)
7 Measure and integration (28-XX)
7 Optics, electromagnetic theory (78-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Classical thermodynamics, heat transfer (80-XX)
5 Geophysics (86-XX)
4 Combinatorics (05-XX)
4 Functions of a complex variable (30-XX)
4 Functional analysis (46-XX)
4 Quantum theory (81-XX)
3 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 General topology (54-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Statistics (62-XX)

Citations by Year