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## Freed, Alan David

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 Author ID: 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
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#### Co-Authors

 5 single-authored 5 Diethelm, Kai 4 Walker, Kevin P. 3 Ford, Neville J. 2 Celikkol, B. 2 Clayton, John D. 2 Einstein, Daniel R. 2 Paul, Sandipan 2 Zamani, Shahla 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.
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#### 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 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
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#### Fields

 23 Mechanics of deformable solids (74-XX) 7 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)

#### 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.
2002
Detailed error analysis for a fractional Adams method. Zbl 1055.65098
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
2004
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
2005
An implicit elastic theory for lung parenchyma. Zbl 1423.74612
Freed, Alan D.; Einstein, Daniel R.
2013
Logarithmic strain and its material derivative for a QR decomposition of the deformation gradient. Zbl 1325.74015
Freed, A. D.; Srinivasa, A. R.
2015
Caputo derivatives in viscoelasticity: a non-linear finite-deformation theory for tissue. Zbl 1152.26303
Freed, Alan D.; Diethelm, Kai
2007
Soft solids. A primer to the theoretical mechanics of materials. Zbl 1296.74002
Freed, Alan D.
2014
A viscoplastic theory with thermodynamic considerations. Zbl 0749.73032
Freed, A. D.; Chaboche, J.-L.; Walker, K. P.
1991
An efficient algorithm for the evaluation of convolution integrals. Zbl 1093.65022
Diethelm, K.; Freed, A. D.
2006
Viscoplasticity with creep and plasticity bounds. Zbl 0772.73029
Freed, Alan D.; Walker, Kevin P.
1993
A promising approach for modeling biological fibers. Zbl 1341.74123
Freed, Alan D.; Rajagopal, K. R.
2016
Hencky strain and logarithmic rates in Lagrangian analysis. Zbl 1423.74012
Freed, A. D.
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
2018
A decomposition of Laplace stretch with applications in inelasticity. Zbl 1459.74005
Freed, Alan D.; le Graverend, Jean-Briac; Rajagopal, K. R.
2019
A note on stress/strain conjugate pairs: explicit and implicit theories of thermoelasticity for anisotropic materials. Zbl 1423.74018
Freed, A. D.
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.
1993
Hypoelastic soft tissues. I: Theory. Zbl 1320.74021
Freed, Alan David
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.
2020
Body tensor formalism in finite deformation elasticity. I: Description and constitutive equation. Zbl 0687.73045
Sachs, A.; Celikkol, B.; Freed, A.
1989
Hypoelastic soft tissues. II: In-plane biaxial experiments. Zbl 1320.74020
Freed, Alan D.; Einstein, Daniel R.; Sacks, Michael S.
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.
2020
A decomposition of Laplace stretch with applications in inelasticity. Zbl 1459.74005
Freed, Alan D.; le Graverend, Jean-Briac; Rajagopal, K. R.
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
2018
A note on stress/strain conjugate pairs: explicit and implicit theories of thermoelasticity for anisotropic materials. Zbl 1423.74018
Freed, A. D.
2017
A promising approach for modeling biological fibers. Zbl 1341.74123
Freed, Alan D.; Rajagopal, K. R.
2016
Logarithmic strain and its material derivative for a QR decomposition of the deformation gradient. Zbl 1325.74015
Freed, A. D.; Srinivasa, A. R.
2015
Soft solids. A primer to the theoretical mechanics of materials. Zbl 1296.74002
Freed, Alan D.
2014
Hencky strain and logarithmic rates in Lagrangian analysis. Zbl 1423.74012
Freed, A. D.
2014
An implicit elastic theory for lung parenchyma. Zbl 1423.74612
Freed, Alan D.; Einstein, Daniel R.
2013
Hypoelastic soft tissues. I: Theory. Zbl 1320.74021
Freed, Alan David
2010
Hypoelastic soft tissues. II: In-plane biaxial experiments. Zbl 1320.74020
Freed, Alan D.; Einstein, Daniel R.; Sacks, Michael S.
2010
Caputo derivatives in viscoelasticity: a non-linear finite-deformation theory for tissue. Zbl 1152.26303
Freed, Alan D.; Diethelm, Kai
2007
An efficient algorithm for the evaluation of convolution integrals. Zbl 1093.65022
Diethelm, K.; Freed, A. D.
2006
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
2005
Detailed error analysis for a fractional Adams method. Zbl 1055.65098
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
2004
A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
2002
Viscoplasticity with creep and plasticity bounds. Zbl 0772.73029
Freed, Alan D.; Walker, Kevin P.
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.
1993
A viscoplastic theory with thermodynamic considerations. Zbl 0749.73032
Freed, A. D.; Chaboche, J.-L.; Walker, K. P.
1991
Body tensor formalism in finite deformation elasticity. I: Description and constitutive equation. Zbl 0687.73045
Sachs, A.; Celikkol, B.; Freed, A.
1989
all top 5

#### Cited by 1,393 Authors

 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