Exploiting microstructural instabilities in solids and structures: from metamaterials to structural transitions

DM Kochmann, K Bertoldi - Applied …, 2017 - asmedigitalcollection.asme.org
Instabilities in solids and structures are ubiquitous across all length and time scales, and
engineering design principles have commonly aimed at preventing instability. However …

Aspects of computational homogenization at finite deformations: a unifying review from Reuss' to Voigt's bound

S Saeb, P Steinmann, A Javili - Applied …, 2016 - asmedigitalcollection.asme.org
The objective of this contribution is to present a unifying review on strain-driven
computational homogenization at finite strains, thereby elaborating on computational …

[HTML][HTML] Influence of the Lode parameter and the stress triaxiality on the failure of elasto-plastic porous materials

K Danas, PP Castañeda - International Journal of Solids and Structures, 2012 - Elsevier
This work makes use of a recently developed “second-order” homogenization model to
investigate failure in porous elasto-plastic solids under general triaxial loading conditions …

Wave propagation and instabilities in monolithic and periodically structured elastomeric materials undergoing large deformations

K Bertoldi, MC Boyce - Physical Review B—Condensed Matter and Materials …, 2008 - APS
Wave propagation in elastomeric materials undergoing large deformations is relevant in
numerous application areas, including nondestructive testing of materials and ultrasound …

Effect of Lode parameter on plastic flow localization after proportional loading at low stress triaxialities

M Dunand, D Mohr - Journal of the Mechanics and Physics of Solids, 2014 - Elsevier
The effect of the stress state on the localization of plastic flow in a Levy–von Mises material
is investigated numerically. A unit cell model is built with a spherical central void that acts as …

Low-frequency tunable locally resonant band gaps in acoustic metamaterials through large deformation

S Ning, F Yang, C Luo, Z Liu, Z Zhuang - Extreme Mechanics Letters, 2020 - Elsevier
Acoustic metamaterials have subwavelength characteristics and hence they can be used for
the low-frequency noise and vibration control. Usually, acoustic metamaterials have …

Buckling strength topology optimization of 2D periodic materials based on linearized bifurcation analysis

CR Thomsen, F Wang, O Sigmund - Computer Methods in Applied …, 2018 - Elsevier
Low density cellular materials may offer excellent mechanical properties and find wide
applicability in lightweight design and infill structures for additive manufacturing, yet …

Homogenization-based constitutive models for magnetorheological elastomers at finite strain

PP Castañeda, E Galipeau - Journal of the Mechanics and Physics of Solids, 2011 - Elsevier
This paper proposes a new homogenization framework for magnetoelastic composites
accounting for the effect of magnetic dipole interactions, as well as finite strains. In addition …

Instabilities in multilayered soft dielectrics

K Bertoldi, M Gei - Journal of the Mechanics and Physics of Solids, 2011 - Elsevier
Experimental observations clearly show that the performance of dielectric elastomeric-based
devices can be considerably improved using composite materials. A critical issue in the …

Relating pore shape to the non-linear response of periodic elastomeric structures

JTB Overvelde, K Bertoldi - Journal of the Mechanics and Physics of Solids, 2014 - Elsevier
By introducing a periodic array of pores in an elastic matrix, instabilities with wavelengths
that are of the order of the size of the microstructure can be triggered. Interestingly, these …