2017
Hillman, M., Chen, J. S., Performance Comparison of Nodally Integrated Galerkin Meshfree Methods and Nodally Collocated Strong Form Meshfree Methods, Advances in Computational Plasticity, Vol. 46, pp.145-164, 2017, doi:10.1007/978-3-319-60885-3_7.
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Chen, J. S., Liu, W. K., Hillman, M., Chi, S. W., Lian, Y., Bessa, M. A., Encyclopedia of Computational Mechanics, 2nd Edition, 2017, Editors: Erwin Stein, Renè de Borst and Tom Hughes, John Wiley & Sons, Ltd.
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Liang, S., Chen, J. S., Li, J. , Lin, S. P., Roth, M. J., Heard, W., Hillman, M., Numerical investigation of statistical variation of concrete damage between scales, International Journal of Fracture, 2017,doi:10.1061/(ASCE)EM.1943-7889.0001176.
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Bazilevs, Y., Moutsanidis, G., Bueno, J., Kamran, K., Kamensky, D., Hillman, M., Gomezc, H., Chen, J.S., A New Formulation for Air-Blast Fluid Structure Interaction Using an Immersed Approach. Part II: Coupling of IGA and Meshfree Discretizations, Computational Mechanics, 2017, doi:10.1007/s00466-017-1395-2.
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Chen, J. S., Hillman, M., Chi, S. W., Meshfree methods: progress made after 20 years, 2017, Journal of Engineering Mechanics, doi:10.1061/(ASCE)EM.1943-7889.0001176.
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2016
Hillman, M., Chen, J. S., An accelerated, convergent and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics, 2016, International Journal for Numerical Methods in Engineering, doi:10.1002/nme.5183.
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Hillman, M., Chen, J. S., Nodally integrated implicit gradient reproducing kernel particle method for convection dominated problems, Computer Methods in Applied Mechanics and Engineering, Vol. 299, pp. 381-400, 2016, doi:10.1016/j.cma.2015.11.004.
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Hillman, M., Chen, J. S., An implicit gradient meshfree formulation for convection-dominated problems, Advances in Computational Fluid-Structure Interaction and Flow Simulation, Engineering and Technology Book Series, pp. 25-37, 2016, https://doi.org/10.1007/978-3-319-40827-9_3.
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2015
Wei, H., Chen, J. S., Hillman, M., A stabilized nodally integrated meshfree formulation for fully coupled hydro-mechanical analysis of fuid-saturated porous media, Computers and Fluids, 2015, doi:10.1016 /j.compfluid.2015.11.002.
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Sherburn, J., Roth, M. J., Chen, J. S., Hillman, M., Meshfree modeling of concrete slab perforation using a reproducing kernel particle impact and penetration formulation, International Journal of Impact Engineering, Vol. 86, pp. 96-110, 2015, doi:doi:10.1016/j.ijimpeng.2015.07.009.
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Hillman, M., Chen, J. S., Bazilevs, Y., Variationally consistent domain integration for isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, Vol. 284, pp. 521-540, 2015, doi:doi:10.1016/j.cma.2014.10.004.
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Littlewood, D., Hillman, M., Yreux, E., Bishop, J., Chen, J.S., Implementation and verification of RKPM in the Sierra/SolidMechanics analysis code, Proceedings of ASME 2015 International Mechanical Engineering Congress & Exposition, doi:10.1115/IMECE2015-51939.
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2014
Hillman, M., Chen, J. S., Stabilized and variationally consistent nodal integration for meshfree modeling of impact problems, Computational Particle Mechanics, Vol. 1, pp. 245-256, 2014, doi:10.1007/s40571-014-0024-5.
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2013
Ruter, M., Hillman, M., Chen, J. S., Corrected stabilized non-conforming nodal integration in meshfree methods, Lecture Notes in Computational Science and Engineering, Vol. 89, pp. 75-93, 2013, doi:10.1007/978-3-642-32979-1_5.
[Download PDF of self archived version]
Chen, J. S., Hillman, M., Ruter, M., An arbitrary order variationally consistent method for Galerkin meshfree methods, International Journal for Numerical Methods in Engineering, Vol. 95, pp. 387-418, 2013, doi:10.1002/nme.4512.
[Download PDF of self archived version]
Hillman, M., Chen, J. S., Performance Comparison of Nodally Integrated Galerkin Meshfree Methods and Nodally Collocated Strong Form Meshfree Methods, Advances in Computational Plasticity, Vol. 46, pp.145-164, 2017, doi:10.1007/978-3-319-60885-3_7.
[Download PDF of self archived version]
Chen, J. S., Liu, W. K., Hillman, M., Chi, S. W., Lian, Y., Bessa, M. A., Encyclopedia of Computational Mechanics, 2nd Edition, 2017, Editors: Erwin Stein, Renè de Borst and Tom Hughes, John Wiley & Sons, Ltd.
[Download PDF of self archived version]
Liang, S., Chen, J. S., Li, J. , Lin, S. P., Roth, M. J., Heard, W., Hillman, M., Numerical investigation of statistical variation of concrete damage between scales, International Journal of Fracture, 2017,doi:10.1061/(ASCE)EM.1943-7889.0001176.
[Download PDF of self archived version]
Bazilevs, Y., Moutsanidis, G., Bueno, J., Kamran, K., Kamensky, D., Hillman, M., Gomezc, H., Chen, J.S., A New Formulation for Air-Blast Fluid Structure Interaction Using an Immersed Approach. Part II: Coupling of IGA and Meshfree Discretizations, Computational Mechanics, 2017, doi:10.1007/s00466-017-1395-2.
[Download PDF of self archived version]
Chen, J. S., Hillman, M., Chi, S. W., Meshfree methods: progress made after 20 years, 2017, Journal of Engineering Mechanics, doi:10.1061/(ASCE)EM.1943-7889.0001176.
[Download PDF of self archived version]
2016
Hillman, M., Chen, J. S., An accelerated, convergent and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics, 2016, International Journal for Numerical Methods in Engineering, doi:10.1002/nme.5183.
[Download PDF of self archived version]
Hillman, M., Chen, J. S., Nodally integrated implicit gradient reproducing kernel particle method for convection dominated problems, Computer Methods in Applied Mechanics and Engineering, Vol. 299, pp. 381-400, 2016, doi:10.1016/j.cma.2015.11.004.
[Download PDF of self archived version]
Hillman, M., Chen, J. S., An implicit gradient meshfree formulation for convection-dominated problems, Advances in Computational Fluid-Structure Interaction and Flow Simulation, Engineering and Technology Book Series, pp. 25-37, 2016, https://doi.org/10.1007/978-3-319-40827-9_3.
[Download PDF of self archived version]
2015
Wei, H., Chen, J. S., Hillman, M., A stabilized nodally integrated meshfree formulation for fully coupled hydro-mechanical analysis of fuid-saturated porous media, Computers and Fluids, 2015, doi:10.1016 /j.compfluid.2015.11.002.
[Download PDF of self archived version]
Sherburn, J., Roth, M. J., Chen, J. S., Hillman, M., Meshfree modeling of concrete slab perforation using a reproducing kernel particle impact and penetration formulation, International Journal of Impact Engineering, Vol. 86, pp. 96-110, 2015, doi:doi:10.1016/j.ijimpeng.2015.07.009.
[Download PDF of self archived version]
Hillman, M., Chen, J. S., Bazilevs, Y., Variationally consistent domain integration for isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, Vol. 284, pp. 521-540, 2015, doi:doi:10.1016/j.cma.2014.10.004.
[Download PDF of self archived version]
Littlewood, D., Hillman, M., Yreux, E., Bishop, J., Chen, J.S., Implementation and verification of RKPM in the Sierra/SolidMechanics analysis code, Proceedings of ASME 2015 International Mechanical Engineering Congress & Exposition, doi:10.1115/IMECE2015-51939.
[Download PDF of self archived version]
2014
Hillman, M., Chen, J. S., Stabilized and variationally consistent nodal integration for meshfree modeling of impact problems, Computational Particle Mechanics, Vol. 1, pp. 245-256, 2014, doi:10.1007/s40571-014-0024-5.
[Download PDF of self archived version]
2013
Ruter, M., Hillman, M., Chen, J. S., Corrected stabilized non-conforming nodal integration in meshfree methods, Lecture Notes in Computational Science and Engineering, Vol. 89, pp. 75-93, 2013, doi:10.1007/978-3-642-32979-1_5.
[Download PDF of self archived version]
Chen, J. S., Hillman, M., Ruter, M., An arbitrary order variationally consistent method for Galerkin meshfree methods, International Journal for Numerical Methods in Engineering, Vol. 95, pp. 387-418, 2013, doi:10.1002/nme.4512.
[Download PDF of self archived version]