HASAN demirkoparan

Hasan DEMIRKOPARAN

Teaching Professor of Mathematics

Carnegie Mellon University in Qatar

Education City, P.O.Box: 24866, Doha, Qatar

Phone +974 5589 4362

email: hasand@qatar.cmu.edu

EDUCATION:

Ph. D. in Mathematics, May 2005,

Michigan State University, East Lansing, MI.

Thesis Advisor: Thomas J. Pence

Thesis Title: Pure azimuthal shearing deformations for an extended class of elastic materials

that are characterized by a microstructurally motivated internal balance principle

M.S in Industrial Mathematics, May 2004,

Michigan State University, East Lansing, MI

M.S. in Statistics, May 2002,

Michigan State University, East Lansing, MI

B.Sc. in Mathematics Education, January 1995,

Middle East Technical University, Ankara, Turkey

B.Sc. in Mathematics, January 1995,

Middle East Technical University, Ankara, Turkey

RESEARCH INTERESTS

Mechanics of deformable solids - Nonlinear elasticity

Boundary value problems in nonlinear elasticity - Coupling of solid mechanics with other effects

Mathematical modeling of highly deformable solids undergoing swelling

Generalization of the isotropic scission and reformation theory of rubberlike materials to fibrous materials

Professional Experience

2021-Current: Teaching Professor of Mathematics, Carnegie Mellon University in Qatar

Instructor for the following courses: 21-124 Calculus II for Biologists and Chemists, 21-127 Concepts of Mathematics

2014-2021: Associate Teaching Professor of Mathematics, Carnegie Mellon University in Qatar

2005-2014: Assistant Teaching Professor of Mathematics, Carnegie Mellon University in Qatar

1998-2005 Teaching Assistant, Department of Mathematics, Michigan State University

Lecturer for the following courses: Multi-variable Calculus, Calculus, Intermediate Algebra, College Algebra, Applied Business Calculus, and Signiﬁcance of Mathematics

Grader for Differential Equations

1995-1996 Teaching Assistant, Department of Mathematics, Middle East Technical University, Ankara, Turkey

Leading recitation hours for Calculus for Engineers and Differential Equations

PUBLICATIONS

· Pure azimuthal shearing deformations for an extended class of elastic materials that are characterized by a microstructurally motivated internal balance principle,

Michigan State University, Ph. D. Thesis, 2005.

· H. Demirkoparan and T.J. Pence, Swelling of an internally pressurized nonlinearly elastic tube with fiber reinforcing,

International Journal of Solids and Structures 44 (2007) 4009-4029.

· H. Demirkoparan and T.J. Pence, The effect of fiber recruitment on the swelling of a pressurized anisotropic nonlinearly elastic tube,

International Journal of Nonlinear Mechanics 42 (2007) 258-270.

· H. Demirkoparan and T.J. Pence, Torsional swelling of a hyperelastic tube with helically wound reinforcement,

Journal of Elasticity 92 (2008) 61-90.

· H. Demirkoparan, T.J. Pence and A. Wineman, On dissolution and reassembly of filamentary reinforcing networks in hyperelastic materials,

Proceedings of the Royal Society A 465 (2009) 867-894.

· H. Demirkoparan, T.J. Pence and A. Wineman, Emergence of fibrous fan morphologies in deformation directed reformation of hyperelastic filamentary networks,

Journal of Engineering Mathematics 68 (2010) 37-56.

· H. Demirkoparan, T.J. Pence and A. Wineman, Torsion of a fiber reinforced hyperelastic cylinder for which the fibers can undergo dissolution and reassembly,

International Journal of Engineering Science 48 (2010) 1179-1201.

· H. Demirkoparan, T.J. Pence and A. Wineman, Fiber remodeling during torsion of a fiber reinforced hyperelastic cylinder - Unloading behavior,

Journal of Elasticity 104 (2011) 163-185.

· H. Demirkoparan, T.J. Pence, and A. Wineman, Chemomechanics and Homeostasis in Active Strain Stabilized Hyperelastic Fibrous Microstructures,

International Journal of Nonlinear Mechanics 56 (2013) 86-93.

· H. Topol, H. Demirkoparan, T.J. Pence, and A. Wineman, A theory for deformation dependent evolution of continuous fibre distribution

applicable to collagen remodelling, IMA Journal of Applied Mathematics 79 (2014) 947-977.

· H. Demirkoparan, T.J. Pence, and H. Tsai, Hyperelastic Internal Balance by Multiplicative Decomposition of the Deformation Gradient,

Archive for Rational Mechanics and Analysis 214 (2014) 923-970.

· H. Demirkoparan and T.J. Pence, Magic Angles for Fiber Reinforcement in Rubber-Elastic Tubes subject to Pressure and Swelling,

International Journal of Nonlinear Mechanics 68 (2015) 87-95.

· H. Demirkoparan and T.J. Pence, Finite stretching and shearing of an internally balanced elastic solid, Journal of Elasticity 121 (2015) 1-23.

· H. Topol, H. Demirkoparan, T. J. Pence and A. Wineman, Uniaxial load analysis under stretch dependent fiber remodeling applicable to collageneous tissue,

Journal of Engineering Mathematics 95 (2015) 325-345.

· A. Hadoush, H. Demirkoparan and T. J. Pence, Simple shearing and azimuthal shearing of an internally balanced compressible elastic material,

International Journal of Nonlinear Mechanics 79 (2016) 99-114.

· A. Hadoush, H. Demirkoparan and T. J. Pence, A Constitutive Model for an Internally Balanced Compressible Elastic Material,

Mathematics and Mechanics of Solids 22 (2017) 372-400.

· H. Demirkoparan and J. Merodio, Bulging Bifurcation of Inflated Circular Cylinders of Doubly Fiber-Reinforced Hyperelastic Material

under Axial Loading and Swelling, Mathematics and Mechanics of Solids 22 (2017) 581-635.

· H. Topol, H. Demirkoparan, T. J. Pence and A. Wineman, Time-Evolving Collagen-Like Structural Fibers in Soft Tissues: Biaxial Loading and Spherical Inflation,

Mechanics of Time-Dependent Materials 21 (2017) 1-29.

· A. Hadoush, H. Demirkoparan and T. J. Pence, Finite Element Analysis of Internally Balanced Elastic Materials,

Computer Methods in Applied Mechanics and Engineering 322 (2017) 373-395.

· H. Demirkoparan and T.J. Pence, Swelling-Twist Interaction in Fiber Reinforced Hyperelastic Materials: The Example of Azimuthal Shear,

Journal of Engineering Mathematics 109 (2018) 63-84.

· H. Topol, K. Gou, H. Demirkoparan and T. J. Pence, Hyperelastic modeling of the combined effects of tissue swelling and deformation-related

collagen renewal in fibrous soft tissue, Biomechanics and Modeling in Mechanobiology 17 (2018) 1543-1567.

· V. Zamani, T. J. Pence, H. Demirkoparan and H. Topol, Hyperelastic Models for the Swelling of Soft Material Plugs in Confined Spaces,

International Journal of Nonlinear Mechanics 106 (2018) 297-309.

· H. Topol, H. Demirkoparan and T. J. Pence, Morphoelastic fiber remodeling in pressurized thick-walled cylinders with application to soft tissue collagenous tubes,

European Journal of Mechanics A/Solids 77 (2019) 103800.

· H. Demirkoparan and J. Merodio, Swelling and Axial Propagation of Bulging with Application to Aneurysm Propagation in Arteries.

Mathematics and Mechanics of Solids 25 (2020) 1459-1471.

· H. Demirkoparan and T.J. Pence, Swelling induced twisting and shearing in fiber composites: the effect of the base matrix mechanical response,

Emergent Materials 3 (2020) 87-101.

· H. Topol, K. Gou, H. Demirkoparan and T. J. Pence, Stress-swelling finite element modeling of cervical response with homeostatic collagen fiber distribution

ASME Journal of Biomechanical Engineering 142 (2020) 081002.

· H. Topol, H. Demirkoparan and T. J. Pence, On Collagen Fiber Morphoelasticity and Homeostatic Remodeling Tone

Journal of the Mechanical Behavior of Biomedical Materials 113 (2021) 104154.

· H. Topol, M. J. Al-Chlaihawi, H. Demirkoparan and T. J. Merodio, Bulging initiation and propagation in fiber reinforced swellable Mooney-Rivlin membranes

Journal of Engineering Mathematics 128 / 8 (2021).

· H. Topol, H. Demirkoparan and T. J. Pence, Modeling Stretch-Dependent Collagen Fiber Density Remodeling

Mechanics Research Communications 116 (2021) 103740.

· H. Topol, H. Demirkoparan and T. J. Pence, Fibrillar collagen: a review of the mechanical modeling of strain mediated enzymatic turnover

(submitted) (2021)

MEMBERSHIP:

American Mathematical Society, The Society for Natural Philosophy, European Mechanics Society

Journal Reviewer for:

· Journal of Elasticity

· International Journal of Nonlinear Mechanics

· The Journal of Strain Analysis for Engineering Design

· IMA Journal of Applied Mathematics

· Journal of Mechanics of Materials and Structures

· Acta Mechanica

· Mathematical Reviews

· Journal of Biomechanical Engineering

· Mechanics of Materials

· Jordan Journal of Mechanical and Industrial Engineering

· Frontiers in Bioengineering and Biotechnology

· Mathematics and Mechanics of Complex Systems

GRANTS:

2008-2020: QF 930106 (Research Seed) Continuation of Boundary Value Problems in Nonlinear Elasticity When Solid Mechanics is Coupled With Other Effects, $113,371 (PI)

2016-2020: QNRF NPRP 8-2424-1-477 New mathematical models for the large strain swelling response of biological tissues: Applications to Edema, Inflammation, and Pregnancy, $803,829 (Co-PI)

2012-15: QNRF NPRP 4-1333-1-214 Complex material response described by continuum mechanics with a deformation gradient product that has novel hyperelastic implications, $819,068 (Co-PI)

2012-15: QNRF NPRP 4-1138-1-178 New mathematical models for the large strain swelling response of biological tissues, $864,669 (Co-PI)

2006-2008: QF 930106 Boundary Value Problems in Nonlinear Elasticity When Solid Mechanics is Coupled With Other Effects, $55,029 (PI)

HONORS AWARDS:

Senior Teaching Assistant Award for Excellence in Teaching by the Department of Mathematics, Michigan State University

Fellowship award for graduate study abroad by Turkish Ministry of Education

Conference Proceeding

· H. Demirkoparan and T. J. Pence, "Finite deformation of fiber reinforced hyperelastic tubes under swelling",

Proceedings of CanCNSM 2008, June 25-29, 2008, Toronto, pp. 109-116.

· H. Demirkoparan, T. J. Pence and A. Wineman, "Modeling dissolution and reassembly of fibers in a fiber reinforced hyperelastic matrix",

Proceedings of the 16th US National Congress of Theoretical and Applied Mechanics USNCTAM 2010 June 27- July 2, 2010, State College, Pennsylvania, USA.

· H. Demirkoparan, Y. Fang, T. J. Pence and X. Tan, "Controlled torsional deformation by swelling a hyperelastic cylinder with helically wound fibers",

Proceedings of CanCNSM 2013,July 23-26, 2013, Montreal, Quebec, Canada.

· H. Topol and H. Demirkoparan, "Evolution of the Fiber Density in Biological Tissues",

Proc. Appl. Math. Mech., 14 (2014) 103-104.

· H. Topol and H. Demirkoparan, "Evolution of Mechanical Properties in Tissues ndergoing Deformation-Related Fiber Remodeling Processes",

Proc. Appl. Math. Mech., 15 (2015) 113-114.

Conference Presentations (presenter listed first)

· T. J. Pence and H. Demirkoparan, Shearing deformations for a class of elastic materials with an internal balance based on a decomposition of the deformation gradient,

6th International Congress on Industrial and Applied Mathematics, July 16-20, 2007, Zurich, Switzerland.

· H. Demirkoparan and T. J. Pence, Torsional swelling of a hyperelastic tube with helically wound reinforcement,

2nd Doha Conference on Applied Mathematics and Computational Sciences, March 30-April 1, 2008, Doha, Qatar.

· H. Demirkoparan and T. J. Pence, Finite deformation of fiber reinforced hyperelastic tubes under swelling,

3rd Canadian Conference on Nonlinear Solid Mechanics, June 25-29 2008, Toronto, Ontario, Canada.

· H. Demirkoparan, T. J. Pence, A. Wineman, Modeling dissolution and reasesembly of fibers in a fiber reinforced hyperelastic matrix,

16th US National Congress on Theoretical and Applied Mechanics, June 27 - July 2, 2010, State College, PA.

· T.J. Pence, H. Demirkoparan, X. Tan, Y. Fang, Swelling induced deformation: the example of torsion,

16th US National Congress on Theoretical and Applied Mechanics, June 27 - July 2, 2010, State College, PA.

· A. Wineman, H. Demirkoparan, T. J. Pence, Influence of fiber dissolution and rassembly on axial stretch and torsion of a fiber reinforced hyperelastic cylinder,

Society for Engineering Science 47th Annual Technical Meeting, Oct. 3-6, 2010, Ames, Iowa.

· H. Demirkoparan, Y. Fang, T. J. Pence and X. Tan, Controlled torsional deformation by swelling a hyperelastic cylinder with helically wound fibers,

4th Canadian Conference on Nonlinear Solid Mechanics, July 23-26, 2013, Montreal, Quebec, Canada.

· T. J. Pence, A. Wineman and H. Demirkoparan, Active strain stabilized fibrous microstructures in hyperelasticity,

4th Canadian Conference on Nonlinear Solid Mechanics, July 23-26, 2013, Montreal, Quebec, Canada.

· H. Demirkoparan and T. J. Pence, Deformations of fiber reinforced hyperelastic tubes under uniform swelling,

EuroMech Colloquium 551 (Mechanics of Fibre-Reinforced Materials: Theory and Applications), September 2-5, 2013, Nottingham, United Kingdom.

· H. Topol, H. Demirkoparan, T. J. Pence and A. Wineman, Modelling of fibril-ligament creation and dissolution in biological tissues,

EuroMech Colloquium 551 (Mechanics of Fibre-Reinforced Materials: Theory and Applications), September 2-5, 2013, Nottingham, United Kingdom.

· A. Hadoush, H. Demirkoparan and T. J. Pence, Internally balanced solid response in compressible hyperelasticity described by a deformation gradient product decomposition,

3rd International Conference on Material Modeling, September 8-11, 2013, Warsaw, Poland.

· H. Topol, H. Demirkoparan, T. J. Pence and A. Wineman, Evolution of the Fiber Density in Biological Tissues,

GAMM 85th Annual Scientific Conference, March 10-14, 2014, Erlangen, Germany.

· H. Demirkoparan and T. J. Pence, Fiber winding angles for maintaining a constant tube channel radius under hyperelastic swelling,

17th US National Congress of Theoretical and Applied Mechanics (USNCTAM2014), June 15-20, 2014, East Lansing, Michigan, USA.

· H. Topol, H. Demirkoparan, T. J. Pence and A. Wineman, Finite deformation continuum mechanics of stretch dependent fiber turnover with application to collagen tissue remodeling,

17th US National Congress of Theoretical and Applied Mechanics (USNCTAM2014), June 15-20, 2014, East Lansing, Michigan, USA.

· A. Hadoush, T. J. Pence, and H. Demirkoparan, Modeling of soft materials via multiplicative decomposition of the deformation gradient,

17th US National Congress of Theoretical and Applied Mechanics (USNCTAM2014), June 15-20, 2014, East Lansing, Michigan, USA.

· A. Hadoush, T. J. Pence, and H. Demirkoparan, FE Formulation of Internal Mechanical Balance based on Multiplicative Decomposition of the Deformation Gradient,

Asian Conference on Mechanics of Functional Materials and Structures (ACMFMS 2014), October 10-13, 2014, Nara, Japan.

· H. Topol, H. Demirkoparan, T. J. Pence and A. Wineman, Evolution of Mechanical Properties in Tissues Undergoing Deformation-Related Fiber Remodeling Processes,

GAMM 86th Annual Scientific Conference, March 23-27, 2015, Lecce, Italy.

· H. Demirkoparan, A. Hadoush and T. J. Pence, Straightening an annular cylindrical sector that is composed of an internally balanced compressible elastic material,

9th European Solid Mechanics Conference (ESMC 2015), July 6-10, 2015, Leganes-Madrid, Spain.

· H. Demirkoparan and T. J. Pence, Hyperelastic Swelling Modelling of Multilayer Tubes with Fibrous Structure,

Modelling across the Biology - Mechanics Interface, September 1 - 4, 2015, Castro Urdiales, Cantabria, Spain.

· T. J. Pence and H. Demirkoparan, Aspects of the multiplicative decomposition of the deformation gradient as it relates to soft tissue continuum mechanics,

Modelling across the Biology - Mechanics Interface, September 1 - 4, 2015, Castro Urdiales, Cantabria, Spain.

· H. Demirkoparan and J. Merodio, Effect of Fiber Winding Angle on Initiation and Axial Propagation of Bulging in doubly fiber-reinforced Swellable Hyperelastic Tubes,

Modelling of Nonlinear Continua, June 26-30, 2017, Castro Urdiales, Cantabria, Spain.

· H. Demirkoparan and T. J. Pence, Swelling Twist Interaction in a Fiber Reinforced Hyperelastic Tube,

18th US National Congress of Theoretical and Applied Mechanics (USNCTAM2018), June 4-9, 2018, Chicago, Illinois, USA.

· H. Topol, H. Demirkoparan and T. J. Pence, Fiber-stretch related remodeling-processes applicable to dispersed collagen fiber-networks,

18th US National Congress of Theoretical and Applied Mechanics (USNCTAM2018), June 4-9, 2018, Chicago, Illinois, USA.

· T. J. Pence, V. Zamani and H. Demirkoparan, Hyperelastic Swelling of Confined Channel Plugs - a Paradigm for a Simple Valve,

18th US National Congress of Theoretical and Applied Mechanics (USNCTAM2018), June 4-9, 2018, Chicago, Illinois, USA.

· H. Topol, H. Demirkoparan and T. J. Pence, Stretch-dependent remodeling of collagen-like dispersed fibers,

10th European Solid Mechanics Conference (ESMC 2018), July 2-6, 2018, Bologna, Italy.

· T. J. Pence and H. Demirkoparan, Swelling twist interaction in a fiber reinforced hyperelastic tube,

10th European Solid Mechanics Conference (ESMC 2018), July 2-6, 2018, Bologna, Italy.

· T. J. Pence and H. Demirkoparan, Swelling induced shearing and twisting in fiber reinforced hyperelastic cylinders,

PACAM XVI, May 20-23, 2019, Ann Arbor, Michigan, USA.

· H. Topol, H. Demirkoparan and T. J. Pence, Morphoelastic remodeling of collagenous fibers under cyclic loading,

International Conference on Multiscale Modeling, July 1-6, 2019, Castro Urdiales, Cantabria, Spain.

Other Conference Activities

· 3^rd International Conference on Modeling of Complex Systems

May 5-7 2009 in Doha, Qatar, General Chair.

· 16^th US National Congress of Theoretical and Applied Mechanics,

June 27- July 2 2010, State College, Pennsylvania, USA, Session Chair.

·  Modelling across the Biology - Mechanics Interface,

September 1 - 4, 2015, Castro Urdiales, Cantabria, Spain, Session Chair.

·  Industry Academia Interactions Workshop / Conference,

May 21-22 2016, Doha, Qatar, Participant.

·  Technology for Mathematics Education T4M2017 Workshop,MATLAB for Computer Graphics and MS Excel's Solver for Optimization Problems, as presenter.

March 25-26 2017, Doha, Qatar,

University Committees:

·  CMU-Q Institutional Review Board,

Since September 2010, Member

·  Steering Committee for CMU-Q Qatar Statistics Authority,

Since October 2012, Member

Ph.D. Dissertation Committee:

·  Vahid Zamani, 2014- 2018; Mechanical Engineering, Advisor: T. J. Pence.,

Michigan State University (as external member)

Post-Doctoral Research Associates Hosted at Carnegie Mellon University in Qatar:

·  Ashraf Hadoush, October 2012- July 2015.

·  Heiko Topol, January 2013- September 2015.

·  Heiko Topol, April 2017 - August 2020

Courses taught at CMU-Qatar

21120 Differential and Integral Calculus (4 times)

21122 Integration, Differential Equations & Approximation (3 times)

21124 Calculus II for Biologists and Chemists (3 times)

21127 Concepts of Mathematics (9 times)

21241 Matrix Algebra (11 times)

21256 Multivariate Analysis (3 times)

21257 Models and Methods for Optimization (8 times)

21301 Combinatorics (3 times)

21355 Real Analysis (11 times)

21373 Algebraic Structures (3 times)

21441 Number Theory (Spring 2014)

21484 Graph Theory (2 times)

70257 Introduction to Business Optimization (2 times)

Seminars

· Pure azimuthal shear problem for a multilastic material, Second Annual MSU Student Mathematics Conference, Department of Mathematics, Michigan State University - East Lansing, March 2004

· Pure azimuthal shearing deformations for an extended class of materials, Applied Math. Seminar, Department of Mathematics, Michigan State University - East Lansing, March 2005

· Boundary Value Problems in Nonlinear Elasticity, Brownbag Seminar,

Carnegie Mellon University in Qatar - Doha, March 2008

· Mathematical Modeling of Fiber Reinforced Hyperelastic Tubes Under Swelling, Brownbag Seminar, Carnegie Mellon University in Qatar - Doha, October 2008

· Consideration of the multiplicative decomposition of the deformation gradient F = F2 F1 in a purely elastic constitutive theory: Computational Aspects,QNRF Research Outcome Seminar (ROS) on Computational Methods, Doha, April 2018 (Invited)

· Mathematical Modeling of Fiber Reinforced Tubes under Uniform Swelling, Joint lecture of TAMUQ's Math Club and CMUQ's Exploring Math, Doha, April 2018