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Engineering with Computers OnlineFirst articles

The simulation of spatio-temporal neural field equations with delay depending on the position of neural fibers using the Galerkin method based on moving least squares

  • Original Article

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 …

A physics preserving neural network based approach for constitutive modeling of isotropic fibrous materials

  • Original Article

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 …

Asynchronous parallel reinforcement learning for optimizing propulsive performance in fin ray control

  • Open Access
  • Original Article

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 …

Study of steady two-dimensional advection–diffusion equation with stratification using second-kind shifted Chebyshev polynomials

  • Original Article

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 …

Integrating analytical and machine learning methods for investigating nonlinear bending and post-buckling behavior of 3D-printed auxetic tubes

  • Original Article

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.

A new calibration approach of kinetic theory of fracture for fatigue life prediction in a peridynamic/finite element framework

  • Original Article

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 …

A monolithic overset finite element method for CFD with application to bio-inspired fliers

  • Original Article

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 …

Bond-based peridynamic fatigue analysis of ductile materials with Neuber’s plasticity correction

  • Original Article

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 …

 A Comparative Study of Isogeometric Analysis for Topology Optimzation Based on the Level Set and the Phase Field Methods

  • Original Article

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 …

Estimation of uncertainties in the density driven flow in fractured porous media using MLMC

  • Open Access
  • Original Article

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.

Enhanced block-structured quadrilateral mesh generation: integrating cross-field and distance field for optimal domain decomposition

  • Original Article

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 …

A Trefftz meshfree framework for stability and dynamic analysis of laminated composite plates based on various higher order shear deformation theories

  • Original Article

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 …

Heterogenous architected materials: enhancing mechanical performance through multi-objective optimization

  • Original Article

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 …

Concept for a geometry-insensitive high-field magnetic resonance detector

  • Open Access
  • Original Article

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 …

Frugal numerical integration scheme for polytopal domains

  • Original Article

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 …

Chebyshev spectral approximation-based physics-informed neural network for solving higher-order nonlinear differential equations

  • Original Article

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.

Application of linear Legendre multi-wavelets collocation method for solution of fourth order boundary value problems

  • Original Article

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 …

Photos: topology optimization of photonic components using a shape library

  • Original Article

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 …

Efficient topology optimization for geometrically nonlinear multi-material systems under design-dependent pressure loading

  • Original Article

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 …

A blended variationally consistent phase field material point method for material fragmentation problems

  • Original Article

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 …