Computational design of finite strain auxetic metamaterials via topology optimization and nonlinear homogenization
G Zhang, K Khandelwal - Computer Methods in Applied Mechanics and …, 2019 - Elsevier
A novel computational framework for designing metamaterials with negative Poisson's ratio
over a large strain range is presented in this work by combining the density-based topology …
over a large strain range is presented in this work by combining the density-based topology …
Dynamics of prestressed elastic lattices: Homogenization, instabilities, and strain localization
Abstract A lattice (or 'grillage') of elastic Rayleigh rods (possessing a distributed mass
density, together with rotational inertia) organized in a parallelepiped geometry can be …
density, together with rotational inertia) organized in a parallelepiped geometry can be …
Soft elastic composites: Microstructure evolution, instabilities and relaxed response by domain formation
PP Castañeda - European Journal of Mechanics-A/Solids, 2023 - Elsevier
This work provides a review of several complementary analytical methods for characterizing
the macroscopic response of 'soft'elastic composites subjected to large deformations. For …
the macroscopic response of 'soft'elastic composites subjected to large deformations. For …
Internal three-dimensional strain evolution of the failure process for short carbon fiber composite through in situ synchrotron radiation X-ray computed tomography
Research on internal three-dimensional (3D) strain evolution of a failure process was
conducted on a short carbon fiber-reinforced composite through high-resolution (0.33 …
conducted on a short carbon fiber-reinforced composite through high-resolution (0.33 …
Dynamics of elastic lattices with sliding constraints
This study investigates the impact of sliders–constraints acting on elastic rods allowing for a
transverse displacement jump while maintaining axial and rotational displacement continuity …
transverse displacement jump while maintaining axial and rotational displacement continuity …
Generalized continuum theory for nematic elastomers: Non-affine motion and characteristic behavior
SC Lamont, FJ Vernerey - Journal of the Mechanics and Physics of Solids, 2024 - Elsevier
We develop a physically-motivated mechanical theory for predicting the behavior of nematic
elastomers–a subset of liquid crystal elastomers (LCEs). We begin with a statistical …
elastomers–a subset of liquid crystal elastomers (LCEs). We begin with a statistical …
Modeling the non-linear elastic response of periodic lattice materials
Periodic elastic lattice materials are a class of cellular materials with unique properties that
cannot be achieved with fully uniform solids. In this work we employ moderate-rotation …
cannot be achieved with fully uniform solids. In this work we employ moderate-rotation …
A framework for implementation of RVE‐based multiscale models in computational homogenization using isogeometric analysis
This study presents an isogeometric framework for incorporating representative volume
element–based multiscale models into computational homogenization. First‐order finite …
element–based multiscale models into computational homogenization. First‐order finite …
Tensile material instabilities in elastic beam lattices lead to a bounded stability domain
Homogenization of the incremental response of grids made up of preloaded elastic rods
leads to homogeneous effective continua which may suffer macroscopic instability, occurring …
leads to homogeneous effective continua which may suffer macroscopic instability, occurring …
A computational framework for homogenization and multiscale stability analyses of nonlinear periodic materials
This article presents a consistent computational framework for multiscale first‐order finite
strain homogenization and stability analyses of rate‐independent solids with periodic …
strain homogenization and stability analyses of rate‐independent solids with periodic …