Parameter identification of a second-gradient model for the description of pantographic structures in dynamic regime
DOI10.1007/s00033-021-01620-9zbMath1476.74103OpenAlexW3204206300WikidataQ118359259 ScholiaQ118359259MaRDI QIDQ2239288
Navid Shekarchizadeh, Ivan Giorgio, Alberto Maria Bersani, Marco Laudato, B. Emek Abali, Luca Manzari
Publication date: 3 November 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-021-01620-9
finite element methodforced oscillationexperimental test3D-printed structurehomogenized reduced-order modelinverse optimization algorithm
Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Experimental work for problems pertaining to mechanics of deformable solids (74-05) Thin bodies, structures (74K99) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10) Inverse problems in dynamical solid mechanics (74H75)
Related Items
Uses Software
Cites Work
- Computational reality. Solving nonlinear and coupled problems in continuum mechanics
- A review on 2D models for the description of pantographic fabrics
- Non-standard coupled extensional and bending bias tests for planar pantographic lattices. I: Numerical simulations
- Numerical identification procedure between a micro-Cauchy model and a macro-second gradient model for planar pantographic structures
- Automated solution of differential equations by the finite element method. The FEniCS book
- Designing a light fabric metamaterial being highly macroscopically tough under directional extension: first experimental evidence
- Wave dynamics and composite mechanics for microstructured materials and metamaterials
- Bias extension test for pantographic sheets: numerical simulations based on second gradient shear energies
- On the validity range of strain-gradient elasticity: a mixed static-dynamic identification procedure
- A Ritz approach for the static analysis of planar pantographic structures modeled with nonlinear Euler-Bernoulli beams
- Directional properties of fibre network materials evaluated by means of discrete homogenization
- On the wave dispersion in microstructured solids
- A two-dimensional gradient-elasticity theory for woven fabrics
- On generalized Cosserat-type theories of plates and shells: a short review and bibliography
- Continuum theory for mechanical metamaterials with a cubic lattice substructure
- Linear pantographic sheets: asymptotic micro-macro models identification
- Micro-structure in linear elasticity
- Variational principles are a powerful tool also for formulating field theories
- Solving PDEs in Python
- Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients
- A Finite Element Primer for Beginners
- Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis
- A Subspace, Interior, and Conjugate Gradient Method for Large-Scale Bound-Constrained Minimization Problems
- An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
- Qualitative Investigations of Experiments Performed on 3D-FDM-printed Pantographic Structures Made out of PLA
- Dynamical Vector Fields on Pantographic Sheet: Experimental Observations
- In-depth gaze at the astonishing mechanical behavior of bone: A review for designing bio-inspired hierarchical metamaterials
- Intertwined microlattices greatly enhance the performance of mechanical metamaterials
- At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola
- Positive definiteness in coupled strain gradient elasticity
- Inverse analysis of metamaterials and parameter determination by means of an automatized optimization problem