Youn-Sha Chan

Graduate Student
Department of Mathematics
University of California 

Davis CA 95616

email: ychan@math.ucdavis.edu

Visiting Student

Department of Civil and Environmental Engineering

University of Illinois

Urbana IL 618012

email: chan@ux3199.ce.uiuc.edu

chan.jpg (3142 bytes)
Thesis
  • Hypersingular Integrodifferential Equations and Applications to Fracture Mechanics of Homogeneous and Functionally Graded Materials with Strain-Gradient Effects
Education
  • Ph.D., Mathematics, University of California, Davis,
    Sep./96 - Dec./01.
  • M.A., Mathematics, University of California, Los Angeles,
    Sep./92 - June/94.
  • M.S., Biomathematics, University of California, Los Angeles,
    Sep./88 - Dec./90
  • M.S., Molecular Biology, National Tsinghua University, Taiwan,
    Sep./84 - June/86.
  • B.S., Pharmacology, Taipei Medical College, Taiwan,
    Oct./80 - June/84
Teaching experience
  • Graduate Associate Instructor, Summer/1997 - Present
    Department of Mathematics, University of California, Davis
    Instructor of
    • Differential Equations
    • Analytical Calculus
    • Linear Algebra


Research Interests
  • Partial differential equations (PDEs)
  • Mathematical compuatation
  • Functionally graded materials (FGMs)
  • Biomathematics
  • Fracture mechanics
  • Biomaterials
Publications
"The Crack Problem for Nonhomogeneous Materials Under Antiplane Shear Loading - A Displacement Based Formulation"  with G.H. Paulino and A.C. Fannjiang.  International Journal of Solids and Structures, Vol. 38, No. 17,  pp. 2989-3005, 2001
"Integral equations with hypersingular kernels -- Theory and applications to fracture mechanics"  with A.C. Fannjiang and G.H. Paulino International Journal of Engineering Science (in press) 2001
"Gradient Elasticity Theory for Mode III Fracture in Functionally Graded Materials- Part I: Crack Perpendicular to the Materail Gradient" with G.H. Paulino and A.C. Fannjiang. ASME Journal of Applied Mechanics (in press) 2001
"Strain Gradient Elasticity for Mode III Cracks: A Hypersingular Integrodifferntial Equation Approach" with G.H. Paulino and A.C. Fannjiang.  SIAM Journal on Applied Mathematics (in press) 2001
"Gradient Elasticity Theory for a Mode I Crack in a Homogeneous and Nonhomogeneous Materials" with G.H. Paulino and A.C. Fannjiang.  J. Amer. Ceram. Soc. (in press) 2001
Presentations
  • "Gradient Elasticity Theory for a Mode I Crack in Functionally Graded Materials" with G.H. Paulino and A.C. Fannjiang.  The 20th Int. Congress of the Int. Union of Theoretical and Applied Mechanics (IUTAM) 2000
Awards
  • Earle C. Anthony Fellowship, Winter/1997
  • SIAM ( Society for Industrial and Applied Mathematics) Student Award, May/2000
  • UC Davis Graduate Student Travel Award, August/2000
  • FGM (Functionally Graded Material) 2000 Student Travel Award, September/2000
  • GAANN (Graduate Assistance in Area of National Need) Fellowship, 2000-2001
 
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