AM Publications

AM Publications:
Modeling and Topology Optimization for Additive Manufacturing
Atomistic/Continuum Theory & Modeling
Finite Elements/Meshfree Methods
Acoustic Emission
Miscellaneous

Mechanics & Physics of Solids:
Metamaterials & Phononic Crystals

Nanoporous Metals
Carbon Nanotube Structures
Nanowires
Piezoelectrics

Modeling and Topology Optimization for Additive Manufacturing

  1. J. Liu and A. C. To, "Porous structure design through Blinn transformation-based level set method," Structural and Multidisciplinary Optimization, 2017.  (accepted)
  2. J. Liu and A. C. To, “Arbitrary void feature control in level set topology optimization,” Computer Methods in Applied Mechanics and Engineering, 324, 595-618, 2017. [link]
  3. J. Liu and A. C. To, “Deposition path planning-assisted structural topology optimization for 3D additive manufacturing subject to self-support constraint,” Computer-Aided Design, 91, 27-45. [link]
  4. J. Liu and A. C. To, "Quantitative texture prediction of epitaxial columnar grains in additive manufacturing using selective laser melting,” Additive Manufacturing, 16, 58-64, 2017. [link]
  5. L. Cheng, P. Zhang, E. Biyikli, J. Bai, J. Robbins, and A. C. To, “Efficient design optimization of variable-density cellular structures for additive manufacturing: Theory and experimental validation,” Rapid Prototyping Journal, 23, 660-677, 2017. [link]
  6. J. Liu, W. Xiong, A. Behera, S. Thompson, and A. C. To, "Mean-field polycrystal plasticity modeling with grain size and shape effects for laser additive manufactured FCC metals," International Journal of Solids and Structures, 112, 35-42, 2017. [link]
  7. P. Zhang, J. Liu and A. C. To, “Role of anisotropic properties on topology optimization of additive manufactured load bearing structures,” Scripta Materialia, 135, 148-152, 2017. (in press)  [link]
  8. J. Liu and A. C. To, "Topology optimization for hybrid additive-subtractive manufacturing," Structural and Multidisciplinary Optimization, 55, 1281-1299, 2017.  [link]
  9. E. L. Stevens, J. Toman, A. C. To, and M. Chmielus, “Variation of hardness, microstructure, and Laves phase distribution in direct laser deposited alloy 718 cuboids,” Journal of Materials and Design, 119, 188-198, 2017.  [link]
  10. Y. Onur Yildiz, H. Zeinalabedini, P. Zhang, M. Kirca, and A. C. To, "Homogenization of additive manufactured polymeric foams with spherical cells," Additive Manufacturing, 12B, 274-281, 2016. [ link]
  11. Q. Yang, P. Zhang, L. Cheng, M. Zheng, M. Chyu, and A. C. To, "Finite element modeling and validation of thermomechanical behavior of Ti-6Al-4V in laser metal deposition additive manufacturing,"  Additive Manufacturing, 12B, 169-177, 2016. [link]
  12. P. Zhang and A. C. To, "Transversely isotropic hyperelastic-viscoplastic model for glassy polymers with application to additive manufactured photopolymers," International Journal of Plasticity, 80, 56-74, 2016. [link]
  13. P. Zhang and A. C. To, “Point group symmetry and deformation induced symmetry breaking of superlattice materials,” Proceedings A of the Royal Society, 471, 0125, 2015. [link].
  14. E. Biyikli and A. C. To, "Proportional Topology Optimization: A new non-sensitivity method for solving stress constrained and minimum compliance problems and its implementation in MATLAB,"PLOS ONE, 10, e0145041, 2015. [link].
  15. P. Zhang, M. Heyne, and, A. C. To, “Biomimetic staggered composites with highly enhanced energy dissipation: modeling, 3D printing, and testing,” Journal of Mechanics and Physics of Solids, 83, 285-300, 2015, 2015. [link].
  16. P. Zhang, J. Toman, Y. Yu, E. Biyikli, M. Kirca, M. Chmielus, and A. C. To, “Efficient design-optimization of variable-density hexagonal cellular structure by additive manufacturing: Theory and validation," ASME Journal of Manufacturing Science and Engineering, 137, 021004, 2015. [link]

Atomistic/Continuum Theory & Modeling

  1. Q. Yang and A. C. To, "Multiresolution molecular mechanics: surface effects in nanoscale materials," Journal of Computational Physics, 2017.  (in press)  [link]
  2. E. Biyikli and A. C. To, “Multiresolution molecular mechanics: implementation and efficiency,” Journal of Computational Physics, 328, 27-45, 2017.  [link]
  3. E. Biyikli and A. C. To, “Multiresolution molecular mechanics: adaptive analysis,” Computer Methods in Applied Mechanics and Engineering, 305, 682-702, 2016.  [link]
  4. Q. Yang and A. C. To, "Multiresolution molecular mechanics: a unified and consistent framework for general finite element shape functions," Computer Methods in Applied Mechanics and Engineering, 283, 384-418, 2015. [link]
  5. E. Biyikli, Q. Yang, and A. C. To, “Multiresolution molecular mechanics: dynamics,” Computer Methods in Applied Mechanics and Engineering, 274, 42-55, 2014.  [link]
  6. Y. Fu and A. C. To, “A modification to Hardy’s thermomechanical theory that conserves fundamental properties more accurately: Tensile and shear failures in iron,” Modeling and Simulation in Materials Science and Engineering, 22, 015010, 2014.  [link]
  7. Q. Yang, E. Biyikli, and A. C. To, “Multiresolution molecular mechanics: convergence and error structure analysis,” Computer Methods in Applied Mechanics and Engineering, 269, 20-45, 2014. [link]
  8. Y. Fu and A. C. To, "A modification to Hardy's thermomechanical theory that conserves fundamental properties more accurately," Journal of Applied Physics, 113, 233505, 2013.  [link]
  9. Y. Fu and A. C. To, "On the evaluation of Hardy’s thermomechanical quantities using ensemble and time averaging,” Modeling and Simulation in Materials Science and Engineering, 21, 055015, 2013. [link]
  10. Q. Yang, E. Biyikli, and A. C. To, “Multiresolution molecular mechanics: statics,” Computer Methods in Applied Mechanics and Engineering, 258, 26-38, 2013. [link]
  11. Q. Yang, E. Biyikli, P. Zhang, R. Tian, and A. C. To, “Atom collocation method,” Computer Methods in Applied Mechanics and Engineering, 237-240, 67-77, 2012. [link]
  12. Y. Fu, M. Kirca, and A. C. To, "On determining the thermal state of individual atoms in molecular dynamics simulations of nonequilibrium processes in solids," Chemical Physics Letters, 506, 290-297, 2011. [link]
  13. A. C. To, Y. Fu, W. K. Liu, "Denoising methods for thermomechanical decomposition for quasi-equilibrium molecular dynamics simulations," Computer Methods in Applied Mechanics and Engineering, 200, 1979-1992, 2011. [link]
  14. A. C. To, W. K. Liu, G. B. Olson, T. Belytschko, W. Chen, M. Shephard, Y.-W. Chung, R. Ghanem, P. W. Voorhees, D. N. Seidman, C. Wolverton, J. S. Chen, B. Moran, A. J. Freeman, R. Tian, X. Luo, E. Lautenschlager, D. Challoner, “Materials integrity in microsystems: a framework for a petascale predictive-science based multiscale modeling and simulation system,” Computational Mechanics, 42, 485-510, 2008. [link]
  15. A. C. To, W. K. Liu, and A. Kopacz, "A finite temperature continuum theory based on interatomic potential in crystalline solids," Computational Mechanics, 42, 531-541, 2008.  [link]
  16. S. Li, X. Liu, A. Agrawal, and A. C. To, "Perfectly matched multiscale simulations for discrete lattice systems: Extension to multiple dimensions," Physical Review B, 74, 045418, 2006.  [link]
  17. A. C. To and S. Li, "Perfectly matched multiscale simulations," Physical Review B, 72, 035414, 2005. [link]

Metamaterials & Phononic Crystals

  1. P. Zhang and A. C. To, “Point group symmetry and deformation induced symmetry breaking of superlattice materials,” Proceedings A of the Royal Society, 471, 0125, 2015.  [link].
  2. X. Mu, L. Wang, X. Yang, P. Zhang, A. C. To, and T. Luo, “Ultra-low thermal conductivity in Si/Ge hierarchical superlattice nanowires,” Scientific Reports, 5, 16697, 2015.  [link]
  3. P. Zhang, M. Heyne, and, A. C. To, “Biomimetic staggered composites with highly enhanced energy dissipation: modeling, 3D printing, and testing,” Journal of Mechanics and Physics of Solids, 83, 285-300, 2015, 2015. [link]
  4. P. Zhang and A. C. To, “Highly enhanced damping figure of merit in biomimetic hierarchical staggered composites,” ASME Journal of Applied Mechanics, 81, 051015, 2014. [link]
  5. P. Zhang and A. C. To, "Broadband wave filtering of bioinspired hierarchical phononic crystal,"Applied Physics Letters, 102, 121910, 2013.  [ link]
  6. B. J. Lee and A. C. To. “Enhanced absorption in one-dimensional phononic crystals with interfacial acoustic waves,” Applied Physics Letters, 95, 031911, 2009. [link]
  7. S. Gonella, A. C. To, and W. K. Liu, “Interplay between phononic bandgaps and piezoelectric microstructures for energy harvesting,” Journal of Mechanics and Physics of Solids, 57, 621-633, 2009. [link]

Nanoporous Metals

  1. A. Giri, J. Tao, M. Kirca, and A. C. To, “Compressive behavior and deformation mechanism of nanoporous open-cell foam with ultrathin ligaments,” Journal of Micromechanics and Nanomechanics,4, SPECIAL ISSUE: Mechanics of Nanocomposites and Nanostructure, A4013012, 2014.  [ link]
  2. A. Giri, J. Tao, M. Kirca, and A. C. To, “Mechanics of nanoporous metals,” in Handbook of Micromechanics and Nanomechanics, edited by S. Li and X. L. Gao (Pan Stanford, Singapore), pp. 827-862, 2013.  [link]
  3. A. C. To, J. Tao, M. Kirca, and L. Schalk, "Ligament and joint sizes govern softening in nanoporous aluminum," Applied Physics Letters, 98, 051903, 2011.  [link]
  4. A. Datta, A. Srirangarajan, U. V. Waghmare, U. Ramamurty, and A. C. To, "Surface effects on stacking fault and twin formation in fcc nanofilms: a first-principles study," Computational Materials Science, 50, 3342-3345. 2011. [link]

Carbon Nanotube Structures

  1. C. Baykasoglu, Z. Ozturk, M. Kirca, A. T. Celebi, A. Mugan, and A. C. To, “Effect of lithium doping on hydrogen storage capacity of heat welded random CNT network structure,” International Journal of Hydrogen Energy, 41, 8246–8255, 2016. [link]
  2. Z. Ozturk, C. Baykasoglu, A. T. Celebi, M. Kirca, A. Mugan, A. C. To, "Hydrogen storage in heat welded random CNT network structures," International Journal of Hydrogen Energy, 40, 403-411, 2015. [link]
  3. X. Yang, Y. Huang, L. Wang, Z. Han, and A. C. To, "Carbon nanotube-fullerene hybrid nanostructures by C60 bombardment: formation and mechanical behavior," Physical Chemistry Chemical Physics, 16, 21615, 2014. [link]
  4. X. Yang, Y. Huang, L. Wang, Z. Han, and A. C. To, "Nanobuds promote heat welding of carbon nanotubes at experimentally-relevant temperatures," RSC Advances, 4, 56313-56317, 2014. [link]
  5. A. T. Celebi, M. Kirca, C. Baykasoglu, A. Mugan, and A. C. To, “Tensile behavior of heat welded CNT network structures,” Computational Materials Science, 88, 14-12, 2014. [link]
  6. X. Yang, D. Chen, Z. Han, and A. C. To, “Effects of welding on thermal conductivity of randomly oriented carbon nanotube networks,” International Journal of Heat and Mass Transfer, 70, 803-810, 2014. [link]
  7. D. Mohammadyani, H. Modarress, A. C. To, A. Amani, ”Interactions of fullerenes (C60) and its hydroxyl derivatives with lipid bilayer: a coarse-grained molecular dynamic simulation,” Brazilian Journal of Physics, 44, 1-7, 2014. [link]
  8. X. Yang, D. Chen, Y. Du, and A. C. To, “Heat conduction in extended X-junctions of single-walled carbon nanotubes,” Journal of Physics and Chemistry of Solids, 2013, 75, 123-129, 2014. [link]
  9. M. Kirca, X. Yang, and A. C. To, “A stochastic algorithm for modeling heat welded random carbon nanotube network,” Computer Methods in Applied Mechanics and Engineering, 259, 1-9, 2013. [link]
  10. X. Yang, F. Qiao, P. Zhang, X. Zhu, D. Chen, and A. C. To, “Coalescence of parallel finite length single-walled carbon nanotubes by heat treatment,” Journal of Physics and Chemistry of Solids, 74, 436-440, 2013. [link]
  11. E. Biyikli, J. Liu, X. Yang, and A. C. To, "A fast method for generating atomistic models of arbitrary-shaped carbon graphitic nanostructures," RSC Advances, 3, 1359-1362, 2013. [link]
  12. X. Yang, Z. Han, Y. Li, D. Chen, P. Zhang, and A. C. To, "Heat welding of non-orthogonal X-junction of single-walled carbon nanotubes," Physica E, 46, 30-32, 2012. [link]
  13. X. Yang, P. Zhang, Z. Han, D. Chen, and A. C. To, “Transformation of non-orthogonal X-junction of single-walled carbon nanotubes into parallel junction by heating,” Chemical Physics Letters, 547, 42-46, 2012. [link]
  14. B. A. Stormer, N. M. Piper, X. Yang, J. Tao, Y. Fu, M. Kirca, and A. C. To, "Mechanical properties of SWNT X-junctions through molecular dynamics simulation," International Journal of Smart and Nano Materials, 3, 33-46, 2012. (invited paper) [link]
  15. N. M. Piper, Y. Fu, J. Tao, X. Yang, and A. C. To, "Vibration promotes heat welding of single-walled carbon nanotubes," Chemical Physics Letters, 502, 231-234, 2011. [link]
  16. A. Datta, M. Kirca, Y. Fu, and A. C. To, "Surface structure and properties of functionalized nanodiamonds: a first-principles study," Nanotechnology, 22, 065706, 2011. link]

Nanowires

  1. X. Yang, A. C. To, and M. Kirca, "Thermal conductivity of periodic array of intermolecular junctions of silicon nanowires," Physica E, 44, 141-145, 2011. [link]
  2. X. Yang, A. C. To, and R. Tian, “Anomalous heat conduction behavior in thin finite-size silicon nanowires,” Nanotechnology, 21, 155704, 2010. [link]
  3. Y. Hu, A. C. To, and M. Yun, “Controlled growth of single metallic and conducting polymer nanowire via gate-assisted electrodeposition,” Nanotechnology, 20, 285605, 2009. [link]

Piezoelectrics

  1. S. Gonella, A. C. To, and W. K. Liu, “Interplay between phononic bandgaps and piezoelectric microstructures for energy harvesting,” Journal of Mechanics and Physics of Solids, 57, 621-633, 2009. [link]
  2. A. C. To, S. Li, and S. D. Glaser, "Propagation of a mode-III interfacial conductive crack along a conductive interface between two piezoelectric materials," Wave Motion, 43, 368–386, 2006. [link]
  3. S. Li, A. C. To, and S. D. Glaser, "On scattering in a piezoelectric medium by a conducting crack,"ASME Journal of Applied Mechanics, 72, 943–954, 2005. [link]
  4. A. C. To, S. Li, and S. D. Glaser, "On scattering in dissimilar piezoelectric materials by an interfacial crack," Quarterly Journal of Mechanics and Applied Mathematics, 58, 309–331, 2005. [link]

Finite Elements/Meshfree Methods

  1. E. Biyikli, J. Liu, X. Yang, and A. C. To, "A fast method for generating atomistic models of arbitrary-shaped carbon graphitic nanostructures," RSC Advances, 3, 1359-1362, 2013. [link]
  2. R. Tian, A. C. To, and W. K. Liu, "Conforming local meshfree method," International Journal for Numerical Methods in Engineering, 86, 335-357, 2011. [link]
  3. X. Yin, W. Chen, A. C. To, C. McVeigh, W. K. Liu, “Statistical volume element method for predicting microstructure constitutive property relations,” Computer Methods in Applied Mechanics and Engineering, 197, 3516-3529, 2008. [link]
  4. Y. Liu, W. K. Liu, T. Belytschko, N. A. Patankar, A. C. To, A. Kopacz, and J.-H. Chung, "Immersed electrokinetic finite element method," International Journal for Numerical Methods in Engineering, 71, 379–405, 2007. [link]

Acoustic Emission

  1. A. C. To, J. R. Moore, and S. D. Glaser, “Wavelet denoising techniques with applications to experimental geophysical data,” Signal Processing, 89, 144-160, 2009. [link]
  2. A. C. To, and S. D. Glaser, "Full waveform inversion of a 3-D source inside an artificial rock," Journal of Sound and Vibration, 285, 835–857, 2005. [link]
  3. J. Ching, A. C. To, and S. D. Glaser, "Microseismic source deconvolution: Bayes vs. Wiener, Fourier vs. wavelets, and linear vs. nonlinear," Journal of Acoustical Society of America, 115, 3048–3058, 2004. [link]

Miscellaneous

  1. S. D. Chambreau, G. L. Vaghjiani, A. C. To, C. Koh, D. Strasser, O. Kostko, and S. R. Leone. “Heats of vaporization of room temperature ionic liquids by tunable vacuum ultraviolet photoionization,” Journal of Physical Chemistry B, 114, 1361-1367, 2010. [link]
  2. A. C. To, H. Ernst, and H. H. Einstein, "Lateral load capacity of drilled shafts in jointed rock," ASCE Journal of Geotechnical and Geoenvironmental Engineering, 129, 711–726, 2003. [link]

Total Number of Journal Publications: 72

Book Chapters

  1. M. Kirca and A. C. To, "Mechanics of CNT network materials,” in Advanced Computational Nanomechanics, edited by N. Silvestre (Wiley, New York), 29-70,2016. [link]
  2. A. Giri, J. Tao, M. Kirca, and A. C. To, “Mechanics of nanoporous metals,” in Handbook of Micromechanics and Nanomechanics, edited by S. Li and X. L. Gao (Pan Stanford, Singapore), 827-862, 2013. [link]
  3. Y. Fu and A. C. To, "Application of many-realization molecular dynamics method to understand the physics of nonequilibrium processes in solids," in Multiscale Simulations and Mechanics of Biological Materials, edited by S. Li and D. Qian, (Wiley, New York), 59-76, 2013. [link]

PhD Dissertations

  1. Qingcheng Yang, "Multiresolution molecular mechanics:  Theory and applications," Ph.D. Dissertation, University of Pittsburgh, 2016. [pdf]
  2. Pu Zhang, "Bioinspired hierarchical materials and cellular structures: Design, modeling, and 3D printing," Ph.D. Dissertation, University of Pittsburgh, 2015. [pdf]
  3. Emre Biyikli, "Multiresolution molecular mechanics: Dynamics, adaptivity, and implementation," Ph.D. Dissertation, University of Pittsburgh, 2015. [pdf]
  4. Mesut Kirca, "Mechanics of nanomaterials consisted of random networks," Ph.D. Dissertation, Istanbul Technical University, 2013. [pdf]
  5. Yao Fu, "On determining continuum quantities of non-equilibrium processes via molecular dynamics simulations," Ph.D. Dissertation, University of Pittsburgh, 2013. [pdf]