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Dr. Anh-Vu Phan

Dr. Anh-Vu Phan

Professor
Mechanical Engineering

Education

  • Ph.D. Mechanical Engineering, Ecole Polytechnique, University of Montreal
  • M.S. Solid Mechanics, Grenoble Institute of Technology
  • B.S. Mechanical Engineering, Ho Chi Minh City University of Technology

Research

  • Boundary integral analysis of energy eigenvalues for confined electron states in quantum structures
  • Symmetric-Galerkin boundary element method (SGBEM) with emphasis on dynamic fracture analysis
  • Boundary integral equations for the static and dynamic T-stresses
  • Boundary Element Analysis of Quantum Mechanics
  • Dynamic fracture analysis of auxetic fiber reinforced composites
  • Numerical modeling of cAMP signaling
  • Numerical modeling of the solid-phase epitaxial growth in Si-Ge alloy thin films

Publications

  • J.D. Phan and A.-V. Phan, ‘Accelerated boundary integral analysis of energy eigenvalues for confined electron states in quantum semiconductor heterostructures’, Engineering Analysis with Boundary Elements, 169, 106012, (2024).

Share Link for free downloading of the article until December 24, 2024:

  • J.D. Phan and A.-V. Phan, ‘A generalized energy eigenvalue problem for effectively solving the confined electron states in quantum semiconductor structures via boundary integral analysis’, Computers and Mathematics with Applications, 170, 228-236, (2024).
  • P. Dunn, N.S. Annamdevula, T.C. Rich, S.J. Leavesley and A.-V. Phan, ‘A two-dimensional finite element model of intercellular cAMP signaling through gap junction channels’, Journal of Biomechanics, 152, 111588, (2023).
  • M. Karimaghaei, R. Cloutier, A. Khan, J.D. Richardson, and A.-V. Phan, ‘A Model- Based Systems Engineering Framework for Quantum Dot Solar Cells Development’, Systems Engineering, 26, 279-290, (2023).
  • R. Warren, T.C. Rich, S.J. Leavesley and A.-V. Phan, ‘A three-dimensional finite element model of cAMP signals’, Forces in Mechanics, 4: 100041, (2021).
  • M. Karimaghaei and A.-V. Phan, ‘Boundary integral formulation of the standard eigenvalue problem for the 2-D Helmholtz equation’, Engineering Analysis with Boundary Elements, 132, 281-288, (2021).
  • A.-V. Phan and M. Karimaghaei, ‘A standard energy eigenvalue problem for directly solving the stationary states of quantum billiards via boundary integral analysis’, Forces in Mechanics, 4:100027, (2021).
  • T.-T. Phan, T.-K. Nguyen, D.-H. Phan and A.-V. Phan, ‘SGBEM analysis of diffraction of P- and SV-waves by a plane crack in an infinite domain’, International Journal of Applied and Computational Mathematics, 6:121, (2020).  
  • N. Stone, S. Shettlesworth, T.C. Rich, S.J. Leavesley and A.-V. Phan, ‘A two-dimensional finite element model of cyclic adenosine monophosphate (cAMP) intracellular signaling’, SN Applied Sciences, 1:1713, (2019).
  • D.-H. Phan, T.-T. Phan, T.-K. Nguyen and A.-V. Phan, ‘Dynamic stress intensity factors for multiple parallel cracks in an infinite domain under the passage of a normal incident impact or blast P-wave’, Engineering Analysis with Boundary Elements, 106, 75-85, (2019).
  • T.-K. Nguyen, D.-H. Phan, T.-T. Phan and A.-V. Phan, ‘Symmetric Galerkin boundary element analysis of the interaction between multiple growing cracks in infinite domains’, Archive of Applied Mechanics, 88, 2003-2016, (2018).
  • A.-V. Phan, ‘Dynamic stress intensity factor analysis of the interaction between multiple impact-loaded cracks in infinite domains’, AIMS Materials Science, 3, 1683-1695, (2016).
  • K.J. Webb, C.A. Wiles, N. Annamdevula, R. Sweat, A.L. Britain, A.-V. Phan, M.I. Townsley, S.J. Leavesley and T.C. Rich, ‘A Mathematical Model of Calcium and cAMP Signaling in Pulmonary Microvascular Endothelial Cells’, The FASEB Journal, 30(1 Supplement), 969-26, (2016).
  • K. Kwon and A.-V. Phan, ‘Symmetric-Galerkin boundary element analysis of the dynamic T-stress for the interaction of a crack with auxetic inclusions’, Mechanics Research Communications, 69, 91-96, (2015).
  • S. Ebrahimi and A.-V. Phan, ‘Dynamic crack growth modeling technique based upon the SGBEM in the Laplace domain’, Acta Mechanica, 226, 769-781, (2015).
  •  S. Ebrahimi and A.-V. Phan, ‘Dynamic analysis of cracks using the SGBEM for elastodynamics in the Laplace-space frequency domain’, Engineering Analysis with Boundary Elements, 37, 1378-1391, (2013).
  • B. Elmabrouk, J.R. Berger, A.-V. Phan and L.J. Gray, ‘Apparent stiffness tensors for porous solids using symmetric Galerkin boundary elements’, Computational Mechanics, 49, 411-419, (2012).
  • A.-V. Phan, ‘A non-singular boundary integral formula for frequency domain analysis of the dynamic T-stress’, International Journal of Fracture, 173, 37-48, (2012).
  • A.-V. Phan, V. Guduru, A. Salvadori and L.J. Gray, ‘Frequency domain analysis by the exponential window method and SGBEM for elastodynamics’, Computational Mechanics, 48, 615-630, (2011).
  • A.-V. Phan and V. Guduru, ‘Boundary element transient analysis of the dynamic Tstress and biaxiality ratio’, Rivista di Matematica della Universit`a di Parma, 2, 57-76, (2011).
  • A.-V. Phan, ‘A non-singular boundary integral formula for determining the T-stress for cracks of arbitrary geometry’, Engineering Fracture Mechanics, 78, 2273-2285, (2011).
  • A.-V. Phan, L.J. Gray and A. Salvadori, ‘Transient analysis of the dynamic stress intensity factors using SGBEM for frequency-domain elastodynamics’, Computer Methods in Applied Mechanics and Engineering, 199, 3039-3050, (2010).
  • A.-V. Phan, L.J. Gray and A. Salvadori, ‘Symmetric-Galerkin boundary element transient analysis of the DSIFs for the interaction of a crack with a circular inclusion’, Key Engineering Materials, 454, 79-96, (2010).
  • V. Guduru, A.-V. Phan and H.V. Tippur, ‘Transient analysis of the DSIFs and dynamic T-stress for particular composite materials – Numerical vs experimental results’, Engineering Analysis with Boundary Elements, 34, 963-970, (2010). 
  • A.-V. Phan, L.J. Gray and A. Salvadori, ‘Symmetric-Galerkin boundary element analysis of the dynamic stress intensity factors in the frequency domain’, Mechanics Research Communications, 37, 177-183, (2010).
  • D.J. Roberts, A.-V. Phan, H.V. Tippur, L.J. Gray and T. Kaplan, ‘SGBEM analysis of fatigue crack growth in particulate composites’, Archive of Applied Mechanics, 80, 307-322, (2010).
  • A.-V. Phan and H.V. Tippur, ‘Symmetric-Galerkin boundary element analysis of the QFM stress intensity factors in nanoscale fracture’, Journal of Computational and Theoretical Nanoscience, 6, 994-1000, (2009).
  • L.S. Yellapragada , A.-V. Phan and T. Kaplan, ‘Fluid-solid interaction finite element modeling of a kinetically driven growth instability in stressed solids’, Archive of Applied Mechanics, 79, 457-467, (2009).
  • A.-V. Phan and H.V. Tippur, ‘Shape-sensitivity-based evaluation of the stress intensity factors at the nanoscale by means of quantized fracture mechanics’, Mechanics Research Communications, 36, 336-342, (2009).
  • A.-V. Phan and S. Mukherjee, ‘The multi-domain boundary contour method for interface and dissimilar materials problems’, Engineering Analysis with Boundary Elements, 33, 668-677, (2009).
  • A.-V. Phan and S. Mukherjee, ‘Boundary contour method fracture analysis of bimaterial interface cracks’, Communications in Numerical Methods in Engineering, 24, 1685-1697, (2008).
  • A.-V. Phan, L.J. Gray and T. Kaplan, ‘On some benchmark results for the interaction of a crack with a circular inclusion’, ASME Journal of Applied Mechanics, 74, 1282- 1284, (2007).
  • L.S. Yellapragada, A.-V. Phan and T. Kaplan, ‘A sequential fluid-solid weak coupling analysis of the SPE in stressed Si layers’, Mechanics Research Communications, 34, 545-552, (2007).
  • R.C. Williams, A.-V. Phan, H.V. Tippur, T. Kaplan and L.J. Gray, ‘SGBEM analysis of crack growth and particle(s) interactions due to elastic constants mismatch’, Engineering Fracture Mechanics, 74, 314-331, (2007).
  • A.-V. Phan and T.-N. Phan, ‘A numerical implementation using mid-node collocation for the hypersingular boundary contour method’, Mechanics Research Communications, 34, 201-209, (2007).
  • R. Kitey, A.-V. Phan, H.V. Tippur and T. Kaplan, ‘Modeling of crack growth through particulate clusters in brittle matrix by symmetric-Galerkin boundary element method’, International Journal of Fracture, 141, 11-25, (2006).
  • A.-V. Phan, C. Machiraju, A.W. Pearsall and S. Madanagopal, ‘Viscoelastic studies of human subscapularis tendon: Relaxation test and a Wiechert Model’, Computer Methods and Programs in Biomedicine, 83, 29-33, (2006).
  • L.J. Gray, A. Salvadori, A.-V. Phan and V. Mantic, ‘Direct evaluation of hypersingular Galerkin surface integrals. II’, Electronic Journal of Boundary Elements, 4, 105-130, (2006).
  • A.-V. Phan, L.J. Gray and T. Kaplan, ‘Residue approach for evaluating the 3-D anisotropic elastic Green’s function: multiple roots’, Engineering Analysis with Boundary Elements, 29, 570-576, (2005).
  • A.-V. Phan and T.-N. Phan, ‘Boundary contour analysis for surface stress recovery in 2-D elasticity and Stokes flow’, Archive of Applied Mechanics, 74, 427-438, (2005).
  • L.J. Gray, A.-V. Phan and T. Kaplan, ‘Boundary integral evaluation of surface derivatives’, SIAM Journal on Scientific Computing, 26, 294-312, (2004).
  • W. Barvosa-Carter, M.J. Aziz, A.-V. Phan, T. Kaplan and L.J. Gray, ‘Interfacial roughening during solid phase epitaxy: Interaction of dopant, stress, and anisotropy effects’, Journal of Applied Physics, 96, 5462-5468, (2004).
  • A.-V. Phan, L.J. Gray and T. Kaplan, ‘On the residue calculus evaluation of the 3-D anisotropic elastic Green’s function’, Communications in Numerical Methods in Engineering, 20, 335-341, (2004).
  • A.-V. Phan, J.A.L. Napier, L.J. Gray and T. Kaplan, ‘Stress intensity factor analysis of friction sliding at discontinuity interfaces and junctions’, Computational Mechanics, 32, 392-400, (2003).
  • A.-V. Phan, J.A.L. Napier, L.J. Gray and T. Kaplan, ‘Symmetric-Galerkin BEM simulation of fracture with frictional contact’, International Journal for Numerical Methods in Engineering, 57, 835-851, (2003).
  • A.-V. Phan, L. Baron, J.R.R. Mayer and G. Cloutier, ‘Finite element and experimental studies of diametral errors in cantilever bar turning’, Applied Mathematical Modelling, 27, 221-232, (2003).
  • L.J. Gray, A.-V. Phan, G.H. Paulino and T. Kaplan, ‘An improved quarter-point crack tip element’, Engineering Fracture Mechanics, 70, 269-283, (2003).
  • A.-V. Phan, L.J. Gray, T. Kaplan and T.-N. Phan, ‘The boundary contour method for two-dimensional Stokes flow and incompressible elastic materials’, Computational Mechanics, 28, 425-433, (2002).
  • A.-V. Phan, L.J. Gray, T. Kaplan and G.H. Paulino, ‘Highly accurate crack tip analysis’, Electronic Journal of Boundary Elements, BETEQ 2001, 51-58, (2002).
  • A.-V. Phan, T. Kaplan, L.J. Gray, D. Adalsteinsson, J.A. Sethian, W. Barvosa-Carter and M. J. Aziz, ‘Modelling a growth instability in a stressed solid’, Modelling and Simulation in Materials Science and Engineering, 9, 309-325, (2001).
  • J.R.R. Mayer, A.-V. Phan and G. Cloutier, ‘Prediction of diameter errors in bar turning: A computationally effective model’, Applied Mathematical Modelling, 24, 943-956, (2000).
  • A.-V. Phan, G. Cloutier and J.R.R. Mayer, ‘A finite element model for predicting tapered workpiece deflections in turning’, Computer Modeling and Simulation in Engineering, 4, 138-142, (1999).
  • G. Cloutier, J.R.R. Mayer and A.-V. Phan, ‘Singular function representation in obtaining closed-form solutions to workpiece deflections in turning multi-diameter bars’, Computer Modeling and Simulation in Engineering, 4, 133-137, (1999).
  • A.-V. Phan, G. Cloutier and J.R.R. Mayer, ‘A finite element model with closed-form solutions to workpiece deflections in turning’, International Journal of Production Research, 37, 4039-4051, (1999).
  • A.-V. Phan and T.-N. Phan, ‘A structural shape optimization system using the 2-D boundary contour method’, Archive of Applied Mechanics, 69, 481-489, (1999).
  • A.-V. Phan and S. Mukherjee, ‘On design sensitivity analysis in linear elasticity by the boundary contour method’, Engineering Analysis with Boundary Elements, 23, 195-199, (1999).
  • A.-V. Phan and F. Trochu, ‘Application of dual kriging to structural shape optimization based on the boundary contour method’, Archive of Applied Mechanics, 68, 539-551, 1998.
  • A.-V. Phan, S. Mukherjee and J.R.R. Mayer, ‘Stresses, stress sensitivities and shape optimization for two-dimensional linear elasticity by the boundary contour method’, International Journal for Numerical Methods in Engineering, 42, 1391-1407, (1998).
  • A.-V. Phan, S. Mukherjee and J.R.R. Mayer, ‘The hypersingular boundary contour method for two-dimensional linear elasticity’, Acta Mechanica, 130, 209-225, (1998).
  • A.-V. Phan, S. Mukherjee and J.R.R. Mayer, ‘A boundary contour formulation for design sensitivity analysis in two-dimensional linear elasticity’, International Journal of Solids and Structures, 35, 1981-1999, (1998).
  • A.-V. Phan, S. Mukherjee and J.R.R. Mayer, ‘The boundary contour method for two-dimensional linear elasticity with quadratic boundary elements’, Computational Mechanics, 20, 310-319, (1997).
  • A.-V. Phan and G. Reynaud, ‘Determination of the asynchronous load on a rotor from the measured internal forces’, Journal of Sound and Vibration, 206, 15-22, (1997).
  • A.-V. Phan, ‘Application of rotation tensor analysis to kinematic study of mechanisms’, (in Vietnamese), Ho Chi Minh City University of Technology Journal of Science and Technology, 15, 52-61, (1984).

Courses

  • EG 284: Dynamics
  • EG 315: Mechanics of Materials
  • AE 361: Fundamentals of Aerodynamics
  • AE 470: Aircraft Structural Analysis
  • ME 135: Engineering Graphics and Communications
  • ME 312: Mechanical Engineering Thermodynamics
  • ME 328: Mechanical Engineering Analysis
  • ME 416: Senior Capstone Design Project
  • ME 421: Mechanical Systems Design
  • ME 426: Dynamic Systems and Control
  • ME 438/538: Finite Element Analysis
  • ME 430/530: Mechanism Synthesis
  • ME 472: Vibration Analysis and Synthesis
  • ME 518: Advanced Mechanical Engineering Analysis II
  • ME 583: Applied Elasticity
  • ME 572: Advanced Vibrations
  • ME 590: Special Topics: Micromechanics
  • ME 592: Directed Independent Study