Journal articles on the topic 'Gradient of elasticity'
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Askes, Harm, and Miguel A. Gutiérrez. "Implicit gradient elasticity." International Journal for Numerical Methods in Engineering 67, no. 3 (2006): 400–416. http://dx.doi.org/10.1002/nme.1640.
Full textTarasov, Vasily E., and Elias C. Aifantis. "Toward fractional gradient elasticity." Journal of the Mechanical Behavior of Materials 23, no. 1-2 (May 1, 2014): 41–46. http://dx.doi.org/10.1515/jmbm-2014-0006.
Full textLurie, Sergey A., Alexander L. Kalamkarov, Yury O. Solyaev, and Alexander V. Volkov. "Dilatation gradient elasticity theory." European Journal of Mechanics - A/Solids 88 (July 2021): 104258. http://dx.doi.org/10.1016/j.euromechsol.2021.104258.
Full textLazar, Markus. "On gradient field theories: gradient magnetostatics and gradient elasticity." Philosophical Magazine 94, no. 25 (July 11, 2014): 2840–74. http://dx.doi.org/10.1080/14786435.2014.935512.
Full textGutkin, M. Yu, and E. C. Aifantis. "Edge dislocation in gradient elasticity." Scripta Materialia 36, no. 1 (January 1997): 129–35. http://dx.doi.org/10.1016/s1359-6462(96)00352-1.
Full textLazar, Markus, and Gérard A. Maugin. "Dislocations in gradient elasticity revisited." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462, no. 2075 (June 6, 2006): 3465–80. http://dx.doi.org/10.1098/rspa.2006.1699.
Full textHwang, K. C., T. F. Cuo, Y. Huang, and J. Y. Chen. "Fracture in strain gradient elasticity." Metals and Materials 4, no. 4 (July 1998): 593–600. http://dx.doi.org/10.1007/bf03026364.
Full textGutkin, M. Yu, and E. C. Aifantis. "Screw dislocation in gradient elasticity." Scripta Materialia 35, no. 11 (December 1996): 1353–58. http://dx.doi.org/10.1016/1359-6462(96)00295-3.
Full textGiannakopoulos, Antonios E., Stylianos Petridis, and Dimitrios S. Sophianopoulos. "Dipolar gradient elasticity of cables." International Journal of Solids and Structures 49, no. 10 (May 2012): 1259–65. http://dx.doi.org/10.1016/j.ijsolstr.2012.02.008.
Full textZervos, A. "Finite elements for elasticity with microstructure and gradient elasticity." International Journal for Numerical Methods in Engineering 73, no. 4 (2008): 564–95. http://dx.doi.org/10.1002/nme.2093.
Full textMousavi, S. Mahmoud, Juha Paavola, and Djebar Baroudi. "Distributed non-singular dislocation technique for cracks in strain gradient elasticity." Journal of the Mechanical Behavior of Materials 23, no. 3-4 (August 1, 2014): 47–58. http://dx.doi.org/10.1515/jmbm-2014-0007.
Full textEremeyev, V. A., and F. dell’Isola. "Weak Solutions within the Gradient-Incomplete Strain-Gradient Elasticity." Lobachevskii Journal of Mathematics 41, no. 10 (October 2020): 1992–98. http://dx.doi.org/10.1134/s1995080220100078.
Full textPolizzotto, Castrenze. "Stress gradient versus strain gradient constitutive models within elasticity." International Journal of Solids and Structures 51, no. 9 (May 2014): 1809–18. http://dx.doi.org/10.1016/j.ijsolstr.2014.01.021.
Full textEfremidis,, G. T., and E. C. Aifantis,. "The Coefficient of Geostatic Stress: Gradient Elasticity vs. Classical Elasticity." Journal of the Mechanical Behavior of Materials 18, no. 1 (February 2007): 43–54. http://dx.doi.org/10.1515/jmbm.2007.18.1.43.
Full textTarasov, Vasily E. "Fractional Gradient Elasticity from Spatial Dispersion Law." ISRN Condensed Matter Physics 2014 (April 3, 2014): 1–13. http://dx.doi.org/10.1155/2014/794097.
Full textLazar, Markus. "Incompatible strain gradient elasticity of Mindlin type: screw and edge dislocations." Acta Mechanica 232, no. 9 (June 28, 2021): 3471–94. http://dx.doi.org/10.1007/s00707-021-02999-2.
Full textTarasov, Vasily E. "General lattice model of gradient elasticity." Modern Physics Letters B 28, no. 07 (March 13, 2014): 1450054. http://dx.doi.org/10.1142/s0217984914500547.
Full textEremeyev, Victor A., Antonio Cazzani, and Francesco dell’Isola. "On nonlinear dilatational strain gradient elasticity." Continuum Mechanics and Thermodynamics 33, no. 4 (March 8, 2021): 1429–63. http://dx.doi.org/10.1007/s00161-021-00993-6.
Full textGusev, Andrei A., and Sergey A. Lurie. "Symmetry conditions in strain gradient elasticity." Mathematics and Mechanics of Solids 22, no. 4 (September 21, 2015): 683–91. http://dx.doi.org/10.1177/1081286515606960.
Full textVolkov-Bogorodskii, D. B., and S. A. Lurie. "Eshelby integral formulas in gradient elasticity." Mechanics of Solids 45, no. 4 (August 2010): 648–56. http://dx.doi.org/10.3103/s0025654410040138.
Full textTsagrakis, Ioannis, Igor S. Yasnikov, and Elias C. Aifantis. "Gradient elasticity for disclinated micro crystals." Mechanics Research Communications 93 (October 2018): 159–62. http://dx.doi.org/10.1016/j.mechrescom.2017.11.007.
Full textKonstantopoulos, Iason, and Elias Aifantis. "Gradient elasticity applied to a crack." Journal of the Mechanical Behavior of Materials 22, no. 5-6 (December 1, 2013): 193–201. http://dx.doi.org/10.1515/jmbm-2013-0026.
Full textSun, Bohua, and E. C. Aifantis. "Gradient Elasticity Formulations for Micro/Nanoshells." Journal of Nanomaterials 2014 (2014): 1–4. http://dx.doi.org/10.1155/2014/846370.
Full textGutkin, M. Yu, and E. C. Aifantis. "Dislocations and Disclinations in Gradient Elasticity." physica status solidi (b) 214, no. 2 (August 1999): 245–84. http://dx.doi.org/10.1002/(sici)1521-3951(199908)214:2<245::aid-pssb245>3.0.co;2-p.
Full textFischer, Paul, Julia Mergheim, and Paul Steinmann. "𝒞1 continuous discretization of gradient elasticity." PAMM 9, no. 1 (March 5, 2010): 435–36. http://dx.doi.org/10.1002/pamm.200910190.
Full textLazopoulos, K. A., and A. K. Lazopoulos. "Strain gradient elasticity and stress fibers." Archive of Applied Mechanics 83, no. 9 (April 24, 2013): 1371–81. http://dx.doi.org/10.1007/s00419-013-0752-7.
Full textMa, Hansong, Gengkai Hu, Yueguang Wei, and Lihong Liang. "Inclusion problem in second gradient elasticity." International Journal of Engineering Science 132 (November 2018): 60–78. http://dx.doi.org/10.1016/j.ijengsci.2018.07.003.
Full textFischer, Paul, Markus Klassen, Julia Mergheim, Paul Steinmann, and Ralf Müller. "Isogeometric analysis of 2D gradient elasticity." Computational Mechanics 47, no. 3 (October 30, 2010): 325–34. http://dx.doi.org/10.1007/s00466-010-0543-8.
Full textPolizzotto, Castrenze. "Gradient elasticity and nonstandard boundary conditions." International Journal of Solids and Structures 40, no. 26 (December 2003): 7399–423. http://dx.doi.org/10.1016/j.ijsolstr.2003.06.001.
Full textLazar, Markus, Gérard A. Maugin, and Elias C. Aifantis. "Dislocations in second strain gradient elasticity." International Journal of Solids and Structures 43, no. 6 (March 2006): 1787–817. http://dx.doi.org/10.1016/j.ijsolstr.2005.07.005.
Full textPapanicolopulos, S. A. "Chirality in isotropic linear gradient elasticity." International Journal of Solids and Structures 48, no. 5 (March 2011): 745–52. http://dx.doi.org/10.1016/j.ijsolstr.2010.11.007.
Full textLazopoulos, K. A., and A. K. Lazopoulos. "Fractional derivatives and strain gradient elasticity." Acta Mechanica 227, no. 3 (November 14, 2015): 823–35. http://dx.doi.org/10.1007/s00707-015-1489-x.
Full textOwen, David R. "Elasticity with Gradient-Disarrangements: A Multiscale Perspective for Strain-Gradient Theories of Elasticity and of Plasticity." Journal of Elasticity 127, no. 1 (October 6, 2016): 115–50. http://dx.doi.org/10.1007/s10659-016-9599-9.
Full textXU, LIANG, and SHENGPING SHEN. "SIZE-DEPENDENT PIEZOELECTRICITY AND ELASTICITY DUE TO THE ELECTRIC FIELD-STRAIN GRADIENT COUPLING AND STRAIN GRADIENT ELASTICITY." International Journal of Applied Mechanics 05, no. 02 (June 2013): 1350015. http://dx.doi.org/10.1142/s1758825113500154.
Full textLazar, Markus, and Giacomo Po. "On Mindlin’s isotropic strain gradient elasticity: Green tensors, regularization, and operator-split." Journal of Micromechanics and Molecular Physics 03, no. 03n04 (September 2018): 1840008. http://dx.doi.org/10.1142/s2424913018400088.
Full textLazar, Markus. "Irreducible decomposition of strain gradient tensor in isotropic strain gradient elasticity." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 96, no. 11 (May 27, 2016): 1291–305. http://dx.doi.org/10.1002/zamm.201500278.
Full textAifantis, Elias C. "On scale invariance in anisotropic plasticity, gradient plasticity and gradient elasticity." International Journal of Engineering Science 47, no. 11-12 (November 2009): 1089–99. http://dx.doi.org/10.1016/j.ijengsci.2009.07.003.
Full textPeerlings, R. H. J., and N. A. Fleck. "Computational Evaluation of Strain Gradient Elasticity Constants." International Journal for Multiscale Computational Engineering 2, no. 4 (2004): 599–620. http://dx.doi.org/10.1615/intjmultcompeng.v2.i4.60.
Full textSolyaev, Yury, and Sergey A. Lurie. "ESHELBY INTEGRAL FORMULAS IN SECOND GRADIENT ELASTICITY." Nanoscience and Technology: An International Journal 11, no. 2 (2020): 99–107. http://dx.doi.org/10.1615/nanoscitechnolintj.2020031434.
Full textCarta, Giorgio, Terry Bennett, and Harm Askes. "Determination of dynamic gradient elasticity length scales." Proceedings of the Institution of Civil Engineers - Engineering and Computational Mechanics 165, no. 1 (March 2012): 41–47. http://dx.doi.org/10.1680/eacm.2012.165.1.41.
Full textMetrikine, A. V. "On causality of the gradient elasticity models." Journal of Sound and Vibration 297, no. 3-5 (November 2006): 727–42. http://dx.doi.org/10.1016/j.jsv.2006.04.017.
Full textLazar, Markus. "Non-singular dislocation loops in gradient elasticity." Physics Letters A 376, no. 21 (April 2012): 1757–58. http://dx.doi.org/10.1016/j.physleta.2012.04.009.
Full textGutkin, M. Yu, and E. C. Aifantis. "Dislocations in the theory of gradient elasticity." Scripta Materialia 40, no. 5 (February 1999): 559–66. http://dx.doi.org/10.1016/s1359-6462(98)00424-2.
Full textGutkin, M. Yu, K. N. Mikaelyan, and E. C. Aifantis. "Screw dislocation near interface in gradient elasticity." Scripta Materialia 43, no. 6 (August 2000): 477–84. http://dx.doi.org/10.1016/s1359-6462(00)00445-0.
Full textLam, D. C. C., F. Yang, A. C. M. Chong, J. Wang, and P. Tong. "Experiments and theory in strain gradient elasticity." Journal of the Mechanics and Physics of Solids 51, no. 8 (August 2003): 1477–508. http://dx.doi.org/10.1016/s0022-5096(03)00053-x.
Full textAuffray, N., H. Le Quang, and Q. C. He. "Matrix representations for 3D strain-gradient elasticity." Journal of the Mechanics and Physics of Solids 61, no. 5 (May 2013): 1202–23. http://dx.doi.org/10.1016/j.jmps.2013.01.003.
Full textCordero, Nicolas M., Samuel Forest, and Esteban P. Busso. "Second strain gradient elasticity of nano-objects." Journal of the Mechanics and Physics of Solids 97 (December 2016): 92–124. http://dx.doi.org/10.1016/j.jmps.2015.07.012.
Full textPapanicolopulos, S. A., A. Zervos, and I. Vardoulakis. "A three-dimensionalC1finite element for gradient elasticity." International Journal for Numerical Methods in Engineering 77, no. 10 (March 5, 2009): 1396–415. http://dx.doi.org/10.1002/nme.2449.
Full textGeorgiadis, H. G., P. A. Gourgiotis, and D. S. Anagnostou. "The Boussinesq problem in dipolar gradient elasticity." Archive of Applied Mechanics 84, no. 9-11 (May 29, 2014): 1373–91. http://dx.doi.org/10.1007/s00419-014-0854-x.
Full textAnagnostou, DS, PA Gourgiotis, and HG Georgiadis. "The Cerruti problem in dipolar gradient elasticity." Mathematics and Mechanics of Solids 20, no. 9 (December 29, 2013): 1088–106. http://dx.doi.org/10.1177/1081286513514882.
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