HASAN demirkoparan

Hasan DEMIRKOPARAN

Associate 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

2014-Current: Associate 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, 21-373 Algebraic Structures, 21-441 Number Theory and 21-484 Graph Theory

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

Instructor for the following courses: 21-122 Integration, Differential Equations and Approximation, 21-127 Concepts of Mathematics, 21-241 Matrix Algebra, 21-256 Multivariate Analysis, 21-257 Optimization, 21-301 Combinatorics, and 21-355 Principles of Real Analysis I

 

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 Mechanics56 (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 Mathematics79 (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 Analysis214 (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 Mechanics68 (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. Demirkoparan and J. Merodio,  Swelling and Axial Propagation of Bulging with Application to Aneurysm Propagation in Arteries (to appear). https://doi.org/10.1177/1081286517717127, Mathematics and Mechanics of Solids ?? (2018) ??-??.

 

  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 (submitted), Biomechanics and Modeling in Mechanobiology ?? (2018) ??-??.

 

  V. Zamani, T. J. Pence, H. Demirkoparan and H. Topol,  Hyperelastic Models for the Swelling of Soft Material Plugs in Confined Spaces (to appear), International Journal of Nonlinear Mechanics ?? (2018) ??-??.

 

 

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

 

 

GRANTS:

Current Grants

2008-2018: QF 930106 (Research Seed) Continuation of Boundary Value Problems in Nonlinear Elasticity When Solid Mechanics is Coupled With Other Effects, $113,371 (PI)

2016-2019: 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)

Older Grants

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  USNCTAM2010,

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

Undergoing 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.

 

Other Conference Activities

 3rd International Conference on Modeling of Complex Systems 
May 5-7 2009 in Doha, Qatar, General Chair. 
 16th 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 - ...

 

Courses taught at CMU-Qatar

21120 Differential and Integral Calculus (3 times)

21122 Integration, Differential Equations & Approximation (2 times)

21127 Concepts of Mathematics (6 times)

21241 Matrix Algebra (11 times)

21256 Multivariate Analysis (3 times)

21257 Models and Methods for Optimization (7 times)

21301 Combinatorics (3 times)

21355 Real Analysis (6 times)

21373 Algebraic Structures (2 times)

21441 Number Theory (Spring 2014)

21484 Graph Theory (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

 

 

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