Sky, Adam; Muench, Ingo; Rizzi, Gianluca; Neff, Patrizio Higher order Bernstein-Bézier and Nédélec finite elements for the relaxed micromorphic model. (English) Zbl 07756773 J. Comput. Appl. Math. 438, Article ID 115568, 32 p. (2024). MSC: 65Nxx 74Axx 35Qxx PDFBibTeX XMLCite \textit{A. Sky} et al., J. Comput. Appl. Math. 438, Article ID 115568, 32 p. (2024; Zbl 07756773) Full Text: DOI arXiv
Sarhil, Mohammad; Scheunemann, Lisa; Schröder, Jörg; Neff, Patrizio Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model. (English) Zbl 1528.74061 Comput. Mech. 72, No. 5, 1091-1113 (2023). MSC: 74K10 74E30 74Q05 74B05 PDFBibTeX XMLCite \textit{M. Sarhil} et al., Comput. Mech. 72, No. 5, 1091--1113 (2023; Zbl 1528.74061) Full Text: DOI arXiv OA License
Knees, Dorothee; Owczarek, Sebastian; Neff, Patrizio A local regularity result for the relaxed micromorphic model based on inner variations. (English) Zbl 1503.35219 J. Math. Anal. Appl. 519, No. 2, Article ID 126806, 13 p. (2023). MSC: 35Q61 35Q74 78A25 74B05 74F15 74M25 35J86 65N06 74M20 PDFBibTeX XMLCite \textit{D. Knees} et al., J. Math. Anal. Appl. 519, No. 2, Article ID 126806, 13 p. (2023; Zbl 1503.35219) Full Text: DOI arXiv
d’Agostino, Marco Valerio; Rizzi, Gianluca; Khan, Hassam; Lewintan, Peter; Madeo, Angela; Neff, Patrizio The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters. (English) Zbl 1514.74068 Contin. Mech. Thermodyn. 34, No. 6, 1393-1431 (2022). MSC: 74M25 PDFBibTeX XMLCite \textit{M. V. d'Agostino} et al., Contin. Mech. Thermodyn. 34, No. 6, 1393--1431 (2022; Zbl 1514.74068) Full Text: DOI arXiv
Schröder, Jörg; Sarhil, Mohammad; Scheunemann, Lisa; Neff, Patrizio Lagrange and \(H(\mathrm{curl}, \mathcal{B})\) based finite element formulations for the relaxed micromorphic model. (English) Zbl 1509.74048 Comput. Mech. 70, No. 6, 1309-1333 (2022). MSC: 74S05 74E30 74M25 PDFBibTeX XMLCite \textit{J. Schröder} et al., Comput. Mech. 70, No. 6, 1309--1333 (2022; Zbl 1509.74048) Full Text: DOI arXiv
Nguyen, Van Hoi; Casale, Guy; Le Marrec, Loïc On tangent geometry and generalised continuum with defects. (English) Zbl 07601708 Math. Mech. Solids 27, No. 7, 1255-1283 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{V. H. Nguyen} et al., Math. Mech. Solids 27, No. 7, 1255--1283 (2022; Zbl 07601708) Full Text: DOI
Sky, Adam; Muench, Ingo; Neff, Patrizio On \([H^1]^{3\times 3}, [H(\text{curl})]^3\) and \(H(\text{sym Curl})\) finite elements for matrix-valued curl problems. (English) Zbl 1524.65859 J. Eng. Math. 136, Paper No. 5, 21 p. (2022). MSC: 65N30 35A15 35R09 PDFBibTeX XMLCite \textit{A. Sky} et al., J. Eng. Math. 136, Paper No. 5, 21 p. (2022; Zbl 1524.65859) Full Text: DOI arXiv
Rizzi, Gianluca; Hütter, Geralf; Khan, Hassam; Ghiba, Ionel-Dumitrel; Madeo, Angela; Neff, Patrizio Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations). (English) Zbl 07590438 Math. Mech. Solids 27, No. 3, 507-553 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{G. Rizzi} et al., Math. Mech. Solids 27, No. 3, 507--553 (2022; Zbl 07590438) Full Text: DOI arXiv
Sky, Adam; Neunteufel, Michael; Muench, Ingo; Schöberl, Joachim; Neff, Patrizio Primal and mixed finite element formulations for the relaxed micromorphic model. (English) Zbl 1507.74048 Comput. Methods Appl. Mech. Eng. 399, Article ID 115298, 35 p. (2022). MSC: 74A60 74S05 65N30 PDFBibTeX XMLCite \textit{A. Sky} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115298, 35 p. (2022; Zbl 1507.74048) Full Text: DOI arXiv
Neff, Patrizio; Eidel, Bernhard; d’Agostino, Marco Valerio; Madeo, Angela Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization. (English) Zbl 1433.74014 J. Elasticity 139, No. 2, 269-298 (2020). MSC: 74A30 74Q15 74A35 74A60 74B05 74M25 PDFBibTeX XMLCite \textit{P. Neff} et al., J. Elasticity 139, No. 2, 269--298 (2020; Zbl 1433.74014) Full Text: DOI arXiv
Owczarek, Sebastian; Ghiba, Ionel-Dumitrel; d’Agostino, Marco-Valerio; Neff, Patrizio Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics. (English) Zbl 07273362 Math. Mech. Solids 24, No. 10, 3200-3215 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{S. Owczarek} et al., Math. Mech. Solids 24, No. 10, 3200--3215 (2019; Zbl 07273362) Full Text: DOI arXiv
Cuomo, Massimo Continuum model of microstructure induced softening for strain gradient materials. (English) Zbl 07254359 Math. Mech. Solids 24, No. 8, 2374-2391 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{M. Cuomo}, Math. Mech. Solids 24, No. 8, 2374--2391 (2019; Zbl 07254359) Full Text: DOI
Aivaliotis, Alexios; Daouadji, Ali; Barbagallo, Gabriele; Tallarico, Domenico; Neff, Patrizio; Madeo, Angela Microstructure-related Stoneley waves and their effect on the scattering properties of a 2D Cauchy/relaxed-micromorphic interface. (English) Zbl 1465.74087 Wave Motion 90, 99-120 (2019). MSC: 74J15 74J20 74M25 PDFBibTeX XMLCite \textit{A. Aivaliotis} et al., Wave Motion 90, 99--120 (2019; Zbl 1465.74087) Full Text: DOI
Madeo, Angela; Barbagallo, Gabriele; Collet, Manuel; D’Agostino, Marco Valerio; Miniaci, Marco; Neff, Patrizio Relaxed micromorphic modeling of the interface between a homogeneous solid and a band-gap metamaterial: new perspectives towards metastructural design. (English) Zbl 1430.74028 Math. Mech. Solids 23, No. 12, 1485-1506 (2018). MSC: 74E30 74J20 74M25 74S05 PDFBibTeX XMLCite \textit{A. Madeo} et al., Math. Mech. Solids 23, No. 12, 1485--1506 (2018; Zbl 1430.74028) Full Text: DOI arXiv
Madeo, Angela; Collet, Manuel; Miniaci, Marco; Billon, Kévin; Ouisse, Morvan; Neff, Patrizio Modeling phononic crystals via the weighted relaxed micromorphic model with free and gradient micro-inertia. (English) Zbl 1387.74004 J. Elasticity 130, No. 1, 59-83 (2018). MSC: 74A10 74A30 74A60 74E15 74M25 74Q15 PDFBibTeX XMLCite \textit{A. Madeo} et al., J. Elasticity 130, No. 1, 59--83 (2018; Zbl 1387.74004) Full Text: DOI arXiv HAL
Münch, Ingo; Neff, Patrizio; Madeo, Angela; Ghiba, Ionel-Dumitrel The modified indeterminate couple stress model: why Yang et al.’s arguments motivating a symmetric couple stress tensor contain a gap and why the couple stress tensor may be chosen symmetric nevertheless. (English) Zbl 07776766 ZAMM, Z. Angew. Math. Mech. 97, No. 12, 1524-1554 (2017). MSC: 74A10 74A35 74B05 PDFBibTeX XMLCite \textit{I. Münch} et al., ZAMM, Z. Angew. Math. Mech. 97, No. 12, 1524--1554 (2017; Zbl 07776766) Full Text: DOI arXiv
d’Agostino, Marco Valerio; Barbagallo, Gabriele; Ghiba, Ionel-Dumitrel; Madeo, Angela; Neff, Patrizio A panorama of dispersion curves for the weighted isotropic relaxed micromorphic model. (English) Zbl 07776760 ZAMM, Z. Angew. Math. Mech. 97, No. 11, 1436-1481 (2017). MSC: 74A10 74A30 74A35 74A60 74B05 74M25 74Q15 74J05 PDFBibTeX XMLCite \textit{M. V. d'Agostino} et al., ZAMM, Z. Angew. Math. Mech. 97, No. 11, 1436--1481 (2017; Zbl 07776760) Full Text: DOI arXiv
Madeo, Angela; Neff, Patrizio; Aifantis, Elias C.; Barbagallo, Gabriele; d’Agostino, Marco Valerio On the role of micro-inertia in enriched continuum mechanics. (English) Zbl 1404.82039 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2198, Article ID 20160722, 17 p. (2017). MSC: 82C21 PDFBibTeX XMLCite \textit{A. Madeo} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2198, Article ID 20160722, 17 p. (2017; Zbl 1404.82039) Full Text: DOI arXiv
Neff, Patrizio; Madeo, Angela; Barbagallo, Gabriele; D’Agostino, Marco Valerio; Abreu, Rafael; Ghiba, Ionel-Dumitrel Real wave propagation in the isotropic-relaxed micromorphic model. (English) Zbl 1404.82028 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2197, Article ID 20160790, 24 p. (2017). MSC: 82B41 PDFBibTeX XMLCite \textit{P. Neff} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2197, Article ID 20160790, 24 p. (2017; Zbl 1404.82028) Full Text: DOI arXiv
Madeo, Angela; Neff, Patrizio; Barbagallo, Gabriele; d’Agostino, Marco Valerio; Ghiba, Ionel-Dumitrel A review on wave propagation modeling in band-gap metamaterials via enriched continuum models. (English) Zbl 1387.74058 dell’Isola, Francesco (ed.) et al., Mathematical modelling in solid mechanics. Contributions mainly based on the presentations at the international conference ‘Emerging trends in applied mathematics and mechanics’, ETAMM 2016, Perpignan, France, May 30 – June 3, 2016. Singapore: Springer (ISBN 978-981-10-3763-4/hbk; 978-981-10-3764-1/ebook). Advanced Structured Materials 69, 89-105 (2017). MSC: 74J10 74A30 74-02 PDFBibTeX XMLCite \textit{A. Madeo} et al., Adv. Struct. Mater. 69, 89--105 (2017; Zbl 1387.74058) Full Text: DOI arXiv
Madeo, Angela; Neff, Patrizio; Ghiba, Ionel-Dumitrel; Rosi, Giuseppe Reflection and transmission of elastic waves in non-local band-gap metamaterials: a comprehensive study via the relaxed micromorphic model. (English) Zbl 1482.74103 J. Mech. Phys. Solids 95, 441-479 (2016). MSC: 74J99 PDFBibTeX XMLCite \textit{A. Madeo} et al., J. Mech. Phys. Solids 95, 441--479 (2016; Zbl 1482.74103) Full Text: DOI arXiv
Rosi, Giuseppe; Auffray, N. Anisotropic and dispersive wave propagation within strain-gradient framework. (English) Zbl 1469.74030 Wave Motion 63, 120-134 (2016). MSC: 74E10 74A60 PDFBibTeX XMLCite \textit{G. Rosi} and \textit{N. Auffray}, Wave Motion 63, 120--134 (2016; Zbl 1469.74030) Full Text: DOI arXiv
Andreaus, Ugo; dell’Isola, Francesco; Giorgio, Ivan; Placidi, Luca; Lekszycki, Tomasz; Rizzi, Nicola Luigi Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity. (English) Zbl 1423.74089 Int. J. Eng. Sci. 108, 34-50 (2016). MSC: 74B05 74S05 PDFBibTeX XMLCite \textit{U. Andreaus} et al., Int. J. Eng. Sci. 108, 34--50 (2016; Zbl 1423.74089) Full Text: DOI HAL
Romano, Giovanni; Barretta, Raffaele; Diaco, Marina Micromorphic continua: non-redundant formulations. (English) Zbl 1365.74135 Contin. Mech. Thermodyn. 28, No. 6, 1659-1670 (2016). MSC: 74M25 74A05 PDFBibTeX XMLCite \textit{G. Romano} et al., Contin. Mech. Thermodyn. 28, No. 6, 1659--1670 (2016; Zbl 1365.74135) Full Text: DOI
Misra, Anil; Poorsolhjouy, Payam Granular micromechanics based micromorphic model predicts frequency band gaps. (English) Zbl 1348.74271 Contin. Mech. Thermodyn. 28, No. 1-2, 215-234 (2016). MSC: 74M25 74E20 PDFBibTeX XMLCite \textit{A. Misra} and \textit{P. Poorsolhjouy}, Contin. Mech. Thermodyn. 28, No. 1--2, 215--234 (2016; Zbl 1348.74271) Full Text: DOI
Sander, Oliver; Neff, Patrizio; Bîrsan, Mircea Numerical treatment of a geometrically nonlinear planar Cosserat shell model. (English) Zbl 1382.74021 Comput. Mech. 57, No. 5, 817-841 (2016). MSC: 74B20 74K25 74S05 65N30 PDFBibTeX XMLCite \textit{O. Sander} et al., Comput. Mech. 57, No. 5, 817--841 (2016; Zbl 1382.74021) Full Text: DOI arXiv
Misra, Anil; Singh, Viraj Thermomechanics-based nonlinear rate-dependent coupled damage-plasticity granular micromechanics model. (English) Zbl 1341.74048 Contin. Mech. Thermodyn. 27, No. 4-5, 787-817 (2015). MSC: 74F05 74M25 74A15 PDFBibTeX XMLCite \textit{A. Misra} and \textit{V. Singh}, Contin. Mech. Thermodyn. 27, No. 4--5, 787--817 (2015; Zbl 1341.74048) Full Text: DOI
Madeo, A.; Neff, P.; Ghiba, I. D.; Placidi, L.; Rosi, G. Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps. (English) Zbl 1341.74085 Contin. Mech. Thermodyn. 27, No. 4-5, 551-570 (2015). MSC: 74J05 PDFBibTeX XMLCite \textit{A. Madeo} et al., Contin. Mech. Thermodyn. 27, No. 4--5, 551--570 (2015; Zbl 1341.74085) Full Text: DOI arXiv
Carcaterra, A.; Roveri, N.; Pepe, G. Fractional dissipation generated by hidden wave-fields. (English) Zbl 1338.74064 Math. Mech. Solids 20, No. 10, 1251-1262 (2015). MSC: 74J99 74H45 PDFBibTeX XMLCite \textit{A. Carcaterra} et al., Math. Mech. Solids 20, No. 10, 1251--1262 (2015; Zbl 1338.74064) Full Text: DOI
Madeo, Angela; Neff, Patrizio; Ghiba, Ionel-Dumitrel; Placidi, Luca; Rosi, Giuseppe Band gaps in the relaxed linear micromorphic continuum. (English) Zbl 1326.74106 ZAMM, Z. Angew. Math. Mech. 95, No. 9, 880-887 (2015). MSC: 74M25 PDFBibTeX XMLCite \textit{A. Madeo} et al., ZAMM, Z. Angew. Math. Mech. 95, No. 9, 880--887 (2015; Zbl 1326.74106) Full Text: DOI arXiv
Neff, Patrizio; Bîrsan, Mircea; Osterbrink, Frank Existence theorem for geometrically nonlinear Cosserat micropolar model under uniform convexity requirements. (English) Zbl 1327.74035 J. Elasticity 121, No. 1, 119-141 (2015). MSC: 74B20 49J40 PDFBibTeX XMLCite \textit{P. Neff} et al., J. Elasticity 121, No. 1, 119--141 (2015; Zbl 1327.74035) Full Text: DOI arXiv
Andreaus, Ugo; Giorgio, Ivan; Madeo, Angela Modeling of the interaction between bone tissue and resorbable biomaterial as linear elastic materials with voids. (English) Zbl 1317.74064 Z. Angew. Math. Phys. 66, No. 1, 209-237 (2015). MSC: 74L15 PDFBibTeX XMLCite \textit{U. Andreaus} et al., Z. Angew. Math. Phys. 66, No. 1, 209--237 (2015; Zbl 1317.74064) Full Text: DOI HAL
Del Vescovo, Dionisio; Giorgio, Ivan Dynamic problems for metamaterials: review of existing models and ideas for further research. (English) Zbl 1423.74039 Int. J. Eng. Sci. 80, 153-172 (2014). MSC: 74A30 74M05 74M25 PDFBibTeX XMLCite \textit{D. Del Vescovo} and \textit{I. Giorgio}, Int. J. Eng. Sci. 80, 153--172 (2014; Zbl 1423.74039) Full Text: DOI HAL
Georgiadis, H. G.; Gourgiotis, P. A.; Anagnostou, D. S. The Boussinesq problem in dipolar gradient elasticity. (English) Zbl 1341.74021 Arch. Appl. Mech. 84, No. 9-11, 1373-1391 (2014). MSC: 74B05 35Q74 PDFBibTeX XMLCite \textit{H. G. Georgiadis} et al., Arch. Appl. Mech. 84, No. 9--11, 1373--1391 (2014; Zbl 1341.74021) Full Text: DOI arXiv