Edit Profile (opens in new tab) Freed, Alan David Co-Author Distance Author ID: freed.alan-david Published as: Freed, Alan D.; Freed, A. D.; Freed, Alan David more...less 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 all top 5 Co-Authors 6 single-authored 5 Diethelm, Kai 4 Walker, Kevin P. 3 Ford, Neville J. 3 Zamani, Shahla 2 Celikkol, B. 2 Clayton, John D. 2 Einstein, Daniel R. 2 Paul, Sandipan 1 Akleman, Ergun 1 Chaboche, Jean-Louis 1 Jordan, Eric H. 1 le Graverend, Jean-Briac 1 Leonov, Arkady I. 1 Luchko, Yurii F. 1 Sacks, Michael S. 1 Srinivasa, Arun R. 1 Szabó, László Zsolt all top 5 Serials 11 Acta Mechanica 4 International Journal of Engineering Science 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Plasticity 1 Journal of the Mechanics and Physics of Solids 1 European Journal of Mechanics. A. Solids 1 Numerical Algorithms 1 Philosophical Transactions of the Royal Society of London. Series A 1 Mathematics and Mechanics of Solids 1 Nonlinear Dynamics 1 Fractional Calculus & Applied Analysis 1 Modeling and Simulation in Science, Engineering and Technology all top 5 Fields 24 Mechanics of deformable solids (74-XX) 8 Numerical analysis (65-XX) 5 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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