One of the most significant domains in neurodynamics revolves around models founded on neural field equations (NFEs), commonly referred to as Amari’s equations. These equations intricately depict neural activity within individual neural fields and …
We develop a new neural network based material model for discrete fibrous materials that strictly enforces constitutive constraints such as polyconvexity, frame-indifference, and the symmetry of the stress and material stiffness. Additionally, we …
Fish fin rays constitute a sophisticated control system for ray-finned fish, facilitating versatile locomotion within complex fluid environments. Despite extensive research on the kinematics and hydrodynamics of fish locomotion, the intricate …
This study investigates the steady two-dimensional (2D) distribution of suspended sediment concentration in an open channel turbulent flow, utilizing five eddy viscosity profiles incorporating the stratification effect. In addition to three …
This study focuses on two primary objectives regarding 3D-printed tubular metastructures. Firstly, it investigates the nonlinear mechanical bending and post-buckling characteristics of re-entrant perfect and imperfect auxetic tubes analytically.
This study explores the use of the kinetic theory of fracture (KTF) within a peridynamic (PD) model to simulate fatigue crack growth across various component geometries, presenting a novel approach distinct from traditional methods. Instead of …
This paper presents a monolithic finite element-based overset approach to simulate turbulent flows around moving structures using overlapping unstructured meshes. The conventional Schwarz alternating method, which iterates between overlapping …
This study introduces an approach for performing bond-based (BB) peridynamic (PD) fatigue analysis of ductile materials. Existing BB PD fatigue models do not account for the effect of plastic deformation. The current approach addresses this by …
This work presents a comparative study on the application of isogeometric analysis in boundary variation methods based topology optimization problems. Level set and phase field are two boundary variation methods gaining in popularity in topology …
We use the Multi Level Monte Carlo method to estimate uncertainties in a Henry-like salt water intrusion problem with a fracture. The flow is induced by the variation of the density of the fluid phase, which depends on the mass fraction of salt.
Block-structured meshes are favoured in various computational simulations due to their superior computational efficiency and accuracy. While cross-field methods have demonstrated promising capabilities in generating high-quality quadrilateral …
This paper develops a novel meshfree method based on Trefftz formulation for buckling and free vibration analysis of laminated composite plates, considering various higher order shear deformation theories, using exponential bases. Domain …
Computational approaches are a growing necessity for designing complex architected structures, particularly for multifunctional systems with numerous trade-offs. Architected lattice structures formed from repeating unit cells often face multiple …
We introduce an inverse design methodology for a new class of eigenfrequency-invariant metamaterial-resonators, targeting nuclear magnetic resonance detection at ultra-high $$\mathbf {B_0}$$ B 0 field, and operating at two specified frequencies …
This paper introduces a novel numerical integration scheme tailored for polytopic domains, circumventing the need for sub-tessellation or sub-tetrahedralization. Our method involves defining integration points on a Cartesian bounding box …
Physics-informed neural networks (PINNs) typically involve higher-order partial derivatives with respect to their inputs, which are too costly to compute and store by using automatic differentiation (AD) even for relatively small neural networks.
This paper presents an efficient wavelet collocation method that utilizes linear Legendre multi-wavelets. Linear Legendre multi-wavelets are introduced as a new family of orthogonal wavelets constructed from Legendre polynomials. These wavelets …
Topology Optimization (TO) holds the promise of designing next-generation compact and efficient photonic components. However, ensuring the optimized designs comply with fabrication constraints imposed by semiconductor foundries remains a …
To date, topology optimization research has extensively explored geometric nonlinearities but primarily overlooked design-dependent loading problems. This study thus proposes an innovative solution to deal with this gap by offering a consistent …
The material point method (MPM) can effectively address material fragmentation issues over mesh-based methods due to its meshfree nature, but faces numerical inaccuracies such as cell-crossing instability and Galerkin inexactness inherent in its …