Dynamics of phononic materials and structures: Historical origins, recent progress, and future outlook
MI Hussein, MJ Leamy… - Applied …, 2014 - asmedigitalcollection.asme.org
The study of phononic materials and structures is an emerging discipline that lies at the
crossroads of vibration and acoustics engineering and condensed matter physics. Broadly …
crossroads of vibration and acoustics engineering and condensed matter physics. Broadly …
Deep learning in computational mechanics: a review
L Herrmann, S Kollmannsberger - Computational Mechanics, 2024 - Springer
The rapid growth of deep learning research, including within the field of computational
mechanics, has resulted in an extensive and diverse body of literature. To help researchers …
mechanics, has resulted in an extensive and diverse body of literature. To help researchers …
Smart constitutive laws: Inelastic homogenization through machine learning
Homogenizing the constitutive response of materials with nonlinear and history-dependent
behavior at the microscale is particularly challenging. In this case, the only option is …
behavior at the microscale is particularly challenging. In this case, the only option is …
Smart finite elements: A novel machine learning application
Many multiscale finite element formulations can become computationally expensive
because they rely on detailed models of the element's internal displacement field. This issue …
because they rely on detailed models of the element's internal displacement field. This issue …
[HTML][HTML] A reduced Bloch operator finite element method for fast calculation of elastic complex band structures
This article presents an efficient reduced formulation of the Bloch Operator Finite Element
method to calculate complex band structures of periodic waveguides. The use of a Bloch …
method to calculate complex band structures of periodic waveguides. The use of a Bloch …
[HTML][HTML] Symmetry-enforcing neural networks with applications to constitutive modeling
The use of machine learning techniques to homogenize the effective behavior of arbitrary
microstructures has been shown to be not only efficient but also accurate. In a recent work …
microstructures has been shown to be not only efficient but also accurate. In a recent work …
An improved SPH method for simulating crack propagation and coalescence in rocks with pre-existing cracks
D Mu, H Qu, Y Zeng, A Tang - Engineering Fracture Mechanics, 2023 - Elsevier
An improved smoothed particle hydrodynamics (SPH) method is proposed to simulate the
failure process of rock samples with pre-existing cracks under compression loads. By …
failure process of rock samples with pre-existing cracks under compression loads. By …
Modeling fracture problems by the local mesh refinement NMM with variable-midside-node elements
K Wang, C Tang, G Li, H Zhang, Z Lu - Computers & Structures, 2023 - Elsevier
Uniform finite element meshes are usually used to discrete problem domain in the numerical
manifold method. This strategy provides high interpolation accuracy but is ineffective when …
manifold method. This strategy provides high interpolation accuracy but is ineffective when …
[HTML][HTML] A Bloch wave reduction scheme for ultrafast band diagram and dynamic response computation in periodic structures
RF Boukadia, C Droz, MN Ichchou… - Finite Elements in Analysis …, 2018 - Elsevier
A variety of Reduced-Order Modelling (ROM) techniques have been developed for the
Wave/Finite Element (WFE) Framework. However most of these techniques are not …
Wave/Finite Element (WFE) Framework. However most of these techniques are not …
Analysis of flexural wave bandgaps in periodic plate structures using differential quadrature element method
ZB Cheng, YG Xu, LL Zhang - International Journal of Mechanical Sciences, 2015 - Elsevier
By employing the first order shear deformation plate theory and the Bloch–Floquet theorem,
the dispersion equation of flexural wave in the periodic composite plate structure with …
the dispersion equation of flexural wave in the periodic composite plate structure with …