Berezovski, Arkadi; Giorgio, Ivan; Della Corte, Alessandro Interfaces in micromorphic materials: wave transmission and reflection with numerical simulations. (English) Zbl 1338.74060 Math. Mech. Solids 21, No. 1, 37-51 (2016). Summary: Reflection and transmission of elastic waves at the interface between two distinct micromorphic media are considered in the one-dimensional setting. A dual internal variable approach is used for the description of the microstructure influence on the global motion. It is shown that reflection and transition coefficients for plane waves depend on the coupling between macro- and micro-motions as well as on the choice of the microstructural interaction at the interface. Numerical simulations exhibiting results with promising technological implications are shown. Cited in 20 Documents MSC: 74J20 Wave scattering in solid mechanics 74M25 Micromechanics of solids Keywords:micromorphic media; elastic wave; reflection and transmission; internal variables PDFBibTeX XMLCite \textit{A. Berezovski} et al., Math. Mech. Solids 21, No. 1, 37--51 (2016; Zbl 1338.74060) Full Text: DOI HAL References: [1] Hirschberger CB, Recent developments and innovative applications in computational mechanics pp 191– (2011) [2] Grillo A, Int J Non-Lin Mech 47 (2) pp 388– (2012) [3] DOI: 10.1007/978-3-7091-1371-4_5 · Zbl 1279.74006 [4] Altenbach H, Arch Appl Mech 78 (10) pp 775– (2008) · Zbl 1161.74426 [5] Neff P, Continuum Mech Therm 26 (5) pp 639– (2014) · Zbl 1341.74135 [6] Dingreville R, Int J Solid Struct 51 (11) pp 2226– (2014) [7] Achenbach J, Wave propagation in elastic solids (1984) [8] Graff KF, Wave motion in elastic solids (1975) [9] Keller HB, SIAM Rev 6 pp 356– (1964) · Zbl 0135.44003 [10] Cooper HF, SIAM Rev 9 pp 671– (1967) · Zbl 0153.56403 [11] DOI: 10.1007/PL00012616 · Zbl 1031.74031 [12] Wang Y, Appl Mech Mater 553 pp 687– (2014) [13] Hill R, Prog Solid Mech 2 (72) pp 245– (1961) [14] Morland L, Int J Non-Lin Mech 36 (1) pp 131– (2001) · Zbl 1342.76127 [15] Maugin GA, ARI – Int J Phys Eng Sci 50 (3) pp 141– (1998) [16] Steinmann P, Arch Appl Mech 75 (1) pp 31– (2005) · Zbl 1097.74006 [17] Irschik H, Acta Mech 194 (1) pp 11– (2007) · Zbl 1140.74407 [18] Maugin GA, J Theor Appl Mech 50 pp 797– (2012) [19] Dell’Isola F, ZAMM 92 (1) pp 52– (2012) · Zbl 1247.74031 [20] Placidi L, Math Mech Solid 19 (5) pp 555– (2013) · Zbl 1305.74047 [21] Eringen AC, Microcontinuum field theories. Volume I (1999) · Zbl 0953.74002 [22] DOI: 10.1007/BF00248490 · Zbl 0119.40302 [23] Eringen AC, Int J Eng Sci 2 (2) pp 189– (1964) · Zbl 0138.21202 [24] Cowin SC, J Elast 13 (2) pp 125– (1983) · Zbl 0523.73008 [25] Chen Y, Int J Solid Struct 41 (8) pp 2085– (2004) · Zbl 1081.74004 [26] Maranganti R, J Mech Phys Solid 55 (9) pp 1823– (2007) · Zbl 1173.74003 [27] Fish J, Int J Comput Meth Eng Sci Mech 13 (2) pp 77– (2012) [28] Wang X, Int J Smart Nano Mater 1 (2) pp 115– (2010) [29] DOI: 10.1007/BF01170371 · Zbl 0897.73003 [30] Ieşan D, Int J Eng Sci 88 pp 118– (2015) · Zbl 1423.74096 [31] Madeo A, J Mech Phys Solid 61 (11) pp 2196– (2013) · Zbl 06484590 [32] Maugin GA, Mech Res Commun 33 (5) pp 705– (2006) · Zbl 1192.74006 [33] Maugin GA, J Non-Equil Thermodyn 19 (3) pp 217– (1994) [34] DOI: 10.1007/978-1-4899-4481-8 [35] Maugin GA, Arch Appl Mech 75 pp 723– (2006) · Zbl 1168.74305 [36] Maugin GA, Configurational forces: Thermomechanics, physics, mathematics, and numerics (2010) · Zbl 1234.74002 [37] Maugin GA, J Non-Equil Thermodyn 15 pp 173– (1990) [38] Ván P, J Non-Equil Thermodyn 33 pp 235– (2008) [39] Berezovski A, Arch Appl Mech 81 pp 229– (2011) · Zbl 1271.74014 [40] Engelbrecht J, J Mech Mater Struct 7 pp 983– (2013) [41] Berezovski A, Mechanics of microstructured solids pp 21– (2009) · Zbl 1189.74012 [42] Berezovski A, Acta Mech 220 pp 349– (2011) · Zbl 1284.74054 [43] Engelbrecht J, Phil Mag 85 pp 4127– (2005) [44] DOI: 10.1007/s00033-012-0197-9 · Zbl 1330.76016 [45] DOI: 10.1002/zamm.201200285 [46] DOI: 10.1177/1081286514531265 · Zbl 1370.74084 [47] DOI: 10.1016/j.cma.2013.09.018 · Zbl 1296.74049 [48] DOI: 10.2140/jomms.2007.2.675 [49] DOI: 10.1177/1077546307079404 · Zbl 1229.74067 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.