## Journal Publications

Additive Manufacturing / 3D Printing | Metamaterials & Phononic Crystals | Piezoelectrics

Nanoporous Metals | Carbon Nanotube Structures | Nanowires

Atomistic/Continuum Theory & Modeling | Finite Elements/Meshfree Methods | Acoustic Emission | Miscellaneous

**Additive Manufacturing / 3D Printing**

- J. Liu and A. C. To, "Topology optimization for multi-directional additive manufacturing," (under review)
- X. Wang, P. Zhang, E. Biyikli, and A. C. To, "Natural frequency optimization of 3D printed variable-density honeycomb structure via a homogenization-based approach," (under review)
- Y. Onur Yildiz, H. Zeinalabedini, P. Zhang, M. Kirca, A. C. To, "Homogenization of additive manufactured polymeric foams with spherical cells," (under review)
- 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," (under review).
- P. Zhang and A. C. To, "Transversely isotropic hyperelastic-viscoplastic model for glassy polymers with application to additve manufactured photopolymers,"
*International Journal of Plasticity*, 2016, (in press). http://www.sciencedirect.com/science/article/pii/S074964191500217X - 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. http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0145041 - 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. http://www.sciencedirect.com/science/article/pii/S0022509615300053 - 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.. http://manufacturingscience.asmedigitalcollection.asme.org/article.aspx?articleid=1913682 - X. Wang, E. Biyikli, and A. C. To, “Proportional topology optimization method for natural frequency optimization of 3D printed parts,” Proceedings of the American Society of Precision Engineering (ASPE) Spring Topical Meeting -- Achieving Precision Tolerances in Additive Manufacturing, pg 32-35, Rayleigh, NC, April 26-29, 2015. http://aspe.net/publications/Spring_2015/Spring2015.pdf
- L. Cheng, P. Zhang, E. Biyikli, J. Bai, S. Pilz, and A. C. To, "Integration of topology optimization with efficient design of additive manufactured cellular structures," Proceedings of the Solid Freeform Fabrication (SFF) Conference, Austin, TX, August 10-12, 2015. http://sffsymposium.engr.utexas.edu/sites/default/files/2015/2015-110-Cheng.pdf

**Atomistic/Continuum Theory & Modeling**

- 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. http://www.sciencedirect.com/science/article/pii/S0045782514003545 - E. Biyikli, Q. Yang, and A. C. To, “Multiresolution molecular mechanics: dynamics,”
*Computer Methods in Applied Mechanics and Engineering*, 274, 42-55, 2014. http://www.sciencedirect.com/science/article/pii/S0045782514000589 - 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. http://iopscience.iop.org/0965-0393/22/1/015010 - 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. http://www.sciencedirect.com/science/article/pii/S0045782513002648 - 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. http://scitation.aip.org/content/aip/journal/jap/113/23/10.1063/1.4811450 - 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. http://iopscience.iop.org/0965-0393/21/5/055015/ - Q. Yang, E. Biyikli, and A. C. To, “Multiresolution molecular mechanics: statics,”
*Computer Methods in Applied Mechanics and Engineering*, 258, 26-38, 2013. http://www.sciencedirect.com/science/article/pii/S004578251300025X - 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. http://www.sciencedirect.com/science/article/pii/S0045782512001582 - 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. http://www.sciencedirect.com/science/article/pii/S0009261411002636 - 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. http://www.sciencedirect.com/science/article/pii/S0045782511001095 - 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. http://link.springer.com/article/10.1007%2Fs00466-008-0267-1 - 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. http://link.springer.com/article/10.1007%2Fs00466-007-0239-x - 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. http://prb.aps.org/abstract/PRB/v74/i4/e045418 - A. C. To and S. Li, "Perfectly matched multiscale simulations,"
*Physical Review B*, 72, 035414, 2005. http://prb.aps.org/abstract/PRB/v72/i3/e035414

** Metamaterials & Phononic Crystal**s

- 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. - 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*, 2015,*accepted*. - 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*, 2015 (in press) http://www.sciencedirect.com/science/article/pii/S0022509615300053 - 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. http://appliedmechanics.asmedigitalcollection.asme.org/article.aspx?articleid=1789878 - P. Zhang and A. C. To, "Broadband wave filtering of bioinspired hierarchical phononic crystal,"
*Applied Physics Letters*, 102, 121910, 2013. http://scitation.aip.org/content/aip/journal/apl/102/12/10.1063/1.4799171 - B. J. Lee and A. C. To. “Enhanced absorption in one-dimensional phononic crystals with interfacial acoustic waves,”
*Applied Physics Letters*, 95, 031911, 2009. http://scitation.aip.org/content/aip/journal/apl/95/3/10.1063/1.3182819 - 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. http://www.sciencedirect.com/science/article/pii/S0022509608001919

- 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. - 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. http://www.crcpress.com/product/isbn/9789814411233 - 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. http://scitation.aip.org/content/aip/journal/apl/98/5/10.1063/1.3549858 - 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. http://www.sciencedirect.com/science/article/pii/S0927025611003685

- 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*, 2015,*accepted*. - 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. http://www.sciencedirect.com/science/article/pii/S0360319914030742
- 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. http://pubs.rsc.org/en/content/articlelanding/2014/cp/c4cp02620a#!divAbstract
- 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. http://pubs.rsc.org/en/content/articlelanding/2014/ra/c4ra08890e#!divAbstract - 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. http://www.sciencedirect.com/science/article/pii/S092702561400144X - 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. http://www.sciencedirect.com/science/article/pii/S0017931013010351 - 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. http://link.springer.com/article/10.1007%2Fs13538-013-0172-8 - 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. http://www.sciencedirect.com/science/article/pii/S0022369713003193 - 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. http://www.sciencedirect.com/science/article/pii/S0045782513000467 - 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. http://www.sciencedirect.com/science/article/pii/S0022369712003411 - 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. http://pubs.rsc.org/en/content/articlelanding/2012/ra/c2ra22598k#!divAbstract - 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. http://www.sciencedirect.com/science/article/pii/S1386947712003219 - 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. http://www.sciencedirect.com/science/article/pii/S0009261412009098 - 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) http://www.tandfonline.com/doi/full/10.1080/19475411.2011.640361#.UozyF8Ssh8E - 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. http://www.sciencedirect.com/science/article/pii/S0009261410016556 - 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. http://iopscience.iop.org/0957-4484/22/6/065706/

- 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. http://www.sciencedirect.com/science/article/pii/S138694771100289X - X. Yang, A. C. To, and R. Tian, “Anomalous heat conduction behavior in thin finite-size silicon nanowires,”
*Nanotechnology*, 21, 155704, 2010. http://iopscience.iop.org/0957-4484/21/15/155704/ - 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. http://iopscience.iop.org/0957-4484/20/28/285605

- 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. http://www.sciencedirect.com/science/article/pii/S0022509608001919 - 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. http://www.sciencedirect.com/science/article/pii/S0165212506000072 - 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. http://appliedmechanics.asmedigitalcollection.asme.org/mobile/article.aspx?articleid=1415492 - 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. http://qjmam.oxfordjournals.org/content/58/2/309.abstract

**Finite Elements/Meshfree Methods**

- 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. http://pubs.rsc.org/en/content/articlelanding/2012/ra/c2ra22598k#!divAbstract - R. Tian, A. C. To, and W. K. Liu, "Conforming local meshfree method,"
*International Journal for Numerical Methods in Engineering*, 86, 335-357, 2011. http://onlinelibrary.wiley.com/doi/10.1002/nme.3067/abstract - 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. http://www.sciencedirect.com/science/article/pii/S0045782508000339 - 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. http://link.springer.com/article/10.1007%2Fs00466-012-0806-7

- 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. http://www.sciencedirect.com/science/article/pii/S0165168408002442 - 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. http://www.sciencedirect.com/science/article/pii/S0022460X04007205 - 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. http://escholarship.org/uc/item/1sf5f3kf#page-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. http://pubs.acs.org/doi/abs/10.1021/jp909423m - 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. http://ascelibrary.org/doi/abs/10.1061/(ASCE)1090-0241(2003)129%3A8(711)

Total Journal Publications: 56

**Book Chapters**

- M. Kirca and A. C. To, "Mechanics of CNT Network Materials,” in
*Advanced Computational Nanomechanics*, edited by N. Silvestre (Wiley, New York), to appear. - 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. http://www.crcpress.com/product/isbn/9789814411233 - 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. http://onlinelibrary.wiley.com/doi/10.1002/9781118402955.ch4/summary