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Meeting 2022 TMS Annual Meeting & Exhibition
Symposium Structural Metamaterials
Presentation Title Sensitivity and Uncertainty Quantification Analysis in Phononic Metamaterials through Complex-Variable Finite Element Method
Author(s) David Restrepo, Juan David Navarro, Juan Camilo Velasquez, Harry Millwater, Matthew Balcer
On-Site Speaker (Planned) David Restrepo
Abstract Scope Phononic metamaterials exhibit frequency band gaps. This property is found to be useful in various applications, such as noise absorption and seismic wave abatement. However, the bandgap behavior is sensitive to small variations in the unit cell. Current techniques used to produce periodic metamaterials, such as additive manufacturing, do not ensure mechanical or geometric consistency to preserve theoretical predictions. Therefore, it is of primal importance to investigate the band gaps' sensibility to different parameter variations to close the breach between the scientific predictions and the industrial applications. In this talk, we will present a new computational methodology to perform parameter sensibility and uncertainty quantification in these materials. The method is based on the complex-variable finite element method (ZFEM) coupled with Bloch's periodic boundary. Preliminary results show that our method can reproduce probability density functions with the same accuracy as Monte Carlo modeling but at a fraction of the computational cost.
Proceedings Inclusion? Planned:
Keywords Mechanical Properties, Modeling and Simulation, Additive Manufacturing

OTHER PAPERS PLANNED FOR THIS SYMPOSIUM

3D-printable Cactus and Spider-silk Hydrogel Composites for Next Generation Multifunctional and Sustainable Energy Absorptive Metamaterials
A Comparison of Energy Absorption Behavior of Additively Manufactured AlSi10Mg Honeycomb, Lattice and TPMS Cellular Structures under Quasistatic Compression
Architectured Bioinspired Alumina with a Metallic Nickel Compliant-phase
Bioinspired Hierarchical Architected Structures Via Additive Manufacturing
Combined Effects of Heterogeneity and Length-scale on Mechanical Properties of Lattice Metamaterials
Controlling Failure with Fractal Chiral Metamaterials
Design of 2D-Mechanical Metamaterials with Spinodal Topologies
Engineering Splat Based Features for Improved Damage Tolerance in Brittle Metamaterials
Exceptional Mechanical Properties of Additively Manufactured Nano-architected Materials with Complex Topologies
Flexibly Tunable Yet Strong Gear-based Mechanical Metamaterials
G-32: Coated Nano- and Micro-lattices via Magnetron Sputtering
G-33: Gaussian Process Regression as a Surrogate Model for the Computation of Dispersion Relations
High-stiffness Metamaterial Composite Structure with Plate Reinforced Strut-microlattice
Interpenetrating Chain Lattices with Tailorable Energy Absorption in Tension
Investigation on Mechanical Properties of Honeycomb-based Cellular Solids and Cylindrical Shells with Structural Hierarchy
Large-strain Compressive Response and Failure Mechanisms of Additively Manufactured Cubic Chiral Lattices
Machine Learning Design of Dynamic/Impact Behaviors
Machine Learning of Symbolic Expressions to Model Dispersion Curves in Metamaterials
Phase Field Modeling of Crack Propagation, Deflection and Delamination in Engineered Interfaces
Seeing Beneath the Surface: Estimating Interior Material Properties with Visual Vibration Tomography
Sensitivity and Uncertainty Quantification Analysis in Phononic Metamaterials through Complex-Variable Finite Element Method
Single Test Evaluation and Design of Directional Elastic Properties in Anisotropic Materials
Structural Locking in Multimodal Origami Metamaterials
Topological States and Bandgaps in Dimerized Minimal Surfaces
Viscoelastic Dynamics of Polymeric Phononic Materials

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