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“Bio-metals”: Ancient biological materials with nanoindentation size effects: Experiments and elements of manifold micromechanics
Luis Zelaya-Lainez, Friedrich S. Schuster, Stefan Manhartseder, Maximilian Landegger, Kyojiro N. Ikeda, Florian Raible, Olaf Lahayne, Stefan Scheiner and Christian Hellmich Biophysics Reviews 7(3) (2026) https://doi.org/10.1063/5.0325367
From Eringen’s micro-elasticity to asymptotic homogenization: On the identification of internal length scales
A gradient elastic homogenisation model for brick masonry
Leonidas Alexandros S. Kouris, Dionysios A. Bournas, Olufemi T. Akintayo, Avraam A. Konstantinidis and Elias C. Aifantis Engineering Structures 208 110311 (2020) https://doi.org/10.1016/j.engstruct.2020.110311
Wave Dynamics, Mechanics and Physics of Microstructured Metamaterials
Marco Laudato and Emilio Barchiesi Advanced Structured Materials, Wave Dynamics, Mechanics and Physics of Microstructured Metamaterials 109 241 (2019) https://doi.org/10.1007/978-3-030-17470-5_17
Influence of first to second gradient coupling energy terms on the wave propagation of three-dimensional non-centrosymmetric architectured materials
Exegesis of Sect. II and III.A from “Fundamentals of the Mechanics of Continua” by E. Hellinger
Simon R. Eugster and Francesco dell'Isola ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 98(1) 31 (2018) https://doi.org/10.1002/zamm.201600293
Anisotropy in strain gradient elasticity: Simplified models with different forms of internal length and moduli tensors
Finite Element Analysis of Bend Test of Sandwich Structures Using Strain Energy Based Homogenization Method
Hassan Ijaz, Waqas Saleem, Muhammad Zain-ul-Abdein, et al. Advances in Materials Science and Engineering 2017 1 (2017) https://doi.org/10.1155/2017/8670207
Establishment of strain gradient constitutive relations by using asymptotic analysis and the finite element method for complex periodic microstructures
Thick fibrous composite reinforcements behave as special second-gradient materials: three-point bending of 3D interlocks
Angela Madeo, Manuel Ferretti, Francesco dell’Isola and Philippe Boisse Zeitschrift für angewandte Mathematik und Physik 66(4) 2041 (2015) https://doi.org/10.1007/s00033-015-0496-z
Synthesis of Fibrous Complex Structures: Designing Microstructure to Deliver Targeted Macroscale Response
Francesco dell'Isola, David Steigmann and Alessandro Della Corte Applied Mechanics Reviews 67(6) (2015) https://doi.org/10.1115/1.4032206
Gradient-elasticity for honeycomb materials: validation and identification from full-field measurements
Julien Réthoré, Christine Kaltenbrunner, Thi Bach Tuyet Dang, Philippe Chaudet and Manuel Kuhn International Journal of Solids and Structures (2015) https://doi.org/10.1016/j.ijsolstr.2015.07.015
The postulations
á la D’Alembert
and
á la Cauchy
for higher gradient continuum theories are equivalent: a review of existing results
F. dell’Isola, P. Seppecher and A. Della Corte Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471(2183) 20150415 (2015) https://doi.org/10.1098/rspa.2015.0415
Generalized Continuum Mechanics and Engineering Applications
Victor A. Eremeyev, Leonid P. Lebedev and Holm Altenbach SpringerBriefs in Applied Sciences and Technology, Foundations of Micropolar Mechanics 35 (2013) https://doi.org/10.1007/978-3-642-28353-6_4
Foundations of Micropolar Mechanics
Victor A. Eremeyev, Leonid P. Lebedev and Holm Altenbach SpringerBriefs in Applied Sciences and Technology, Foundations of Micropolar Mechanics 1 (2013) https://doi.org/10.1007/978-3-642-28353-6_1
Generalized Continua from the Theory to Engineering Applications
Holm Altenbach and Victor A. Eremeyev CISM International Centre for Mechanical Sciences, Generalized Continua from the Theory to Engineering Applications 541 65 (2013) https://doi.org/10.1007/978-3-7091-1371-4_2
Micro-to-macro transitions for continua with surface structure at the microscale
Generalized Continua from the Theory to Engineering Applications
Samuel Forest CISM International Centre for Mechanical Sciences, Generalized Continua from the Theory to Engineering Applications 541 249 (2013) https://doi.org/10.1007/978-3-7091-1371-4_5
How contact interactions may depend on the shape of Cauchy cuts in Nth gradient continua: approach “à la D’Alembert”
Francesco dell’Isola, Pierre Seppecher and Angela Madeo Zeitschrift für angewandte Mathematik und Physik 63(6) 1119 (2012) https://doi.org/10.1007/s00033-012-0197-9
Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D continua
F. dell'Isola, A. Madeo and L. Placidi ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 92(1) 52 (2012) https://doi.org/10.1002/zamm.201100022
Generalized continua and non‐homogeneous boundary conditions in homogenisation methods
S. Forest and D.K. Trinh ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 91(2) 90 (2011) https://doi.org/10.1002/zamm.201000109
Homogenization Techniques and Micromechanics. A Survey and Perspectives
A numerical study for linear isotropic Cosserat elasticity with conformally invariant curvature
J. Jeong, H. Ramézani, I. Münch and P. Neff ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 89(7) 552 (2009) https://doi.org/10.1002/zamm.200800218
Numerical Homogenization Techniques Applied to Growth and Remodelling Phenomena
Samuel Forest, Jean-Marc Cardona and Rainer Sievert Solid Mechanics and Its Applications, Continuum Thermomechanics 76 163 (2002) https://doi.org/10.1007/0-306-46946-4_12
Micropolar in-Plane Shear and Rotation Moduli of Unidirectional Fiber Composites with Fiber–Matrix Interfacial Debonding
A micromechanically based couple-stress model of an elastic orthotropic two-phase composite
Frederic Bouyge, Iwona Jasiuk, Stéphane Boccara and Martin Ostoja-Starzewski European Journal of Mechanics - A/Solids 21(3) 465 (2002) https://doi.org/10.1016/S0997-7538(01)01192-5
Couple-stress moduli and characteristics length of a two-phase composite