Traditional bilinear isoparametric coordinate systems exhibit sensitivity to mesh distortion due to their fully high-order polynomials being only equivalent to first-order polynomials in Cartesian coordinate systems when confronted with mesh distortion. This paper combines the concept of 3- and 6-component volume coordinate systems (VCS) with the generalized mixed element method to develop a novel

The finite element algorithm is developed to solve antiplane problems involving elastic domains whose boundaries or their parts are coated with thin and relatively stiff layers. These layers are modeled by the vanishing thickness Gurtin–Murdoch material surfaces that could be open or closed, and smooth or non-smooth. The governing equations for the problems are derived using variational arguments.

The study examines the shear cutting process of Advanced High Strength Steel using the Particle Finite Element Method. Shear cutting, a crucial process in sheet metal forming, often leads to microcracks and plastic deformation that degrades the material performance in subsequent applications, such as cold forming, crashworthiness, and fatigue resistance. This work utilises the Particle Finite Element

Physic-based simulation remains a key enabler for real-world ever-growing complex industrial systems especially when crucial decisions are needed. While classical approaches have proven their accuracy and robustness over the years and come with a rich mathematical foundation, they suffer from several limitations depending of the underlying physics and use cases. For instance, especially concerning

This contribution presents an improved low-order 3D finite element formulation with hourglass stabilization using automatic differentiation (AD). Here, the former Q1STc formulation is enhanced by an approximation-free computation of the inverse Jacobian. To this end, AD tools automate the computation and allow a direct evaluation of the inverse Jacobian, bypassing the need for a Taylor series expansion

Most topology optimization techniques for enhanced designs rely on the premise of deterministic loads. Nevertheless, in actuality, variables such as placements, weights, and orientations of applied loads may inadvertently fluctuate. Deterministic load-based designs may exhibit suboptimal structural performance in the presence of loading uncertainties. Uncertain aspects must be considered in topological

This paper presents an assumed enhanced strain finite element framework for simulating hydraulic fracture propagation in saturated thermoporoelastic media, considering the influence of thermal effects. The proposed approach combines classical thermoporoelasticity theory with a cohesive fracture model to describe the coupled behaviors of fluid flow, rock deformation and fracture propagation. Within

Identification and monitoring of damage have a growing importance in the maintenance of structures. A robust active sensing framework that integrates model-based inference and optimal sensor placement is proposed. By tightly coupling measured data and data acquisition scenarios, a simultaneous approach of damage estimation and sensor placement can be used to continuously and accurately assess a structure

This paper presents a robust isogeometric topology optimization (ITO) framework that integrates Isogeometric Analysis (IGA) with global stress measures to enhance both accuracy and stability in stress-related structural optimization. Non-Uniform Rational B-Splines (NURBS)-based IGA is employed to ensure higher-order continuity and refined topology representation, enabling precise stress evaluation

Given measurements from sensors and a set of standard forces, an optimization based approach to perform damage identification in structures is introduced. The key novelty lies in letting the loads and measurements to be random variables. Subsequently, the conditional-value-at-risk (CVaR) is minimized subject to the elasticity equations as constraints. CVaR is a risk measure that leads to minimization

Periodic structures have attracted interest across various fields of science and engineering due to their unique ability to manipulate wave propagation. The Wave-based Finite Element Method (WFEM) is typically employed to model such systems by relying on the dynamic behavior of a single unit cell of the lattice. However, the WFEM can face challenges in handling unit cell finite element (FE) models

Nonlinear filter earplugs are hearing protection devices that protect against high-level impulse noises while allowing communication and situational awareness. Unlike conventional passive protectors, these devices provide increasing attenuation with the impulse sound pressure level thanks to filters made of one or more small orifices. Their performances are usually assessed with experimental measurements

We propose a new shape function for a meshfree method by combining of moving Kriging (MK) and Chebyshev interpolations, referred to Chebyshev moving Kriging (CMK) interpolations. This approach improves the accuracy of the numerical solutions by using Chebyshev polynomials in place of traditional polynomials. Additionally, Chebyshev polynomials are utilized to represent a higher-order shear deformation

Fracture propagation in heterogeneous ice-rock cliffs and hanging glaciers is complicated by the presence of internal interfaces and material property mismatch, so their failure risk is difficult to assess. Despite recent advances, phase-field fracture modeling is computationally expensive for large-scale homogeneous and heterogeneous material media. Here, we present an adaptive mesh refinement algorithm

A novel 8-node hybrid stress finite element (FE) is proposed for the efficient nonlinear analysis of in-plane loaded masonry walls. To provide a robust, easy-to-characterize mechanically, and computationally efficient practice-oriented numerical framework, masonry is idealized as an elasto-plastic homogeneous continuum. Elasto-plasticity is considered at the FE level by means of a dual-decomposition

Over the past two decades, non-intrusive techniques have been used to develop reduced-order models for nonlinear structures in industrial environments. These techniques have placed a significant emphasis on a posteriori methods, which often rely on solutions derived from computationally expensive full-order models. Using a priori methods not relying on the full order model might be preferred as they

We model transient diffusion in heterogeneous materials using a novel physics-informed neural networks framework (PINNs) termed Adaptive interface physics-informed neural networks or AdaI-PINNs (Roy et al. arXiv preprint arXiv:2406.04626, 2024). AdaI-PINNs utilize different activation functions with trainable slopes tailored to each material region within the computational domain, allowing for a fully

A variety of different vascular stent designs are currently available on the market, featuring different geometries, manufacturing materials, and physical characteristics. Here, we propose a framework for designing innovative stents that replicate and enhance the mechanical properties of existing devices. The framework includes a Solid Isotropic Material with Penalization (SIMP)-based topology optimization

Previous studies have shown that the mechanical response of incompressible hyperelastic materials is affected by the occurrence of residual stresses. In the context of biological soft tissues, such residual stresses result from factors that include growth and development processes. The detailed effect of these initial stresses on mechanical behavior remains to be explored in detail. The magnitude and

The behavior of a Timoshenko concrete beam reinforced by ribbed steel rebars is a function of the cohesive interaction between the concrete and reinforcement provided via bond-slip or traction-separation law. Bond-slip interactions between top/bottom reinforcements and the concrete beam section considering the shear deformations have been studied in this paper in static loading and nonlinear material

A framework is proposed to directly calculate the stiffness matrix of a macro-element equivalent to a desired microstructure. In a sense, this approach enables the estimation of the “homogenised” properties of microstructures without using the homogenisation theory. The proposed framework is based on assumed displacement fields within equivalent macro-elements. Different displacement assumptions are

To achieve accurate finite element (FE) analysis and to capture intricate geometric features in topology optimization using the feature mapping method, it is essential to apply extreme finely discretized background FE mesh. However, this necessity comes with increased time and memory overheads and may even lead to the failure of solving 3D problems. Consequently, this paper proposes a tailored 2:1

This paper proposes a novel framework for constructing C1 smooth isogeometric functions on the planar multipatch domain. We extend the concept of C1 coupling, wherein the null space approach was used to construct geometrically continuous basis functions as linear combinations of C0 basis functions near patch junctions. However, due to the lack of continuity constraints, the resulting approximate basis

The Cracking Elements Method (CEM) is a numerical tool for simulation of quasi-brittle fracture. It neither needs remeshing, nor nodal enrichment, or a complicated crack-tracking strategy. The cracking elements used in the CEM can be considered as a special type of Galerkin finite elements. A disadvantage of the CEM is that it uses nonlinear interpolation of the displacement field (e.g. Q8 and T6 elements

A design optimization framework is proposed for process parameters in additive manufacturing. A finite element approximation of the coupled thermomechanical model is used to simulate the fused deposition of heated material and compute the objective function for each analysis. Both gradient-based and gradient-free optimization methods are developed. The gradient-based approach, which results in a balance

The present paper introduces a methodology for formulating two-dimensional structural theories featuring arbitrary kinematic fields. In the proposed approach, each displacement variable can be examined through an independent expansion function, enabling the integration of both classical and higher-order theories within a unified framework. The Carrera Unified Formulation is used to derive the governing

In this paper, a three-dimensional arbitrary Lagrangian-Eulerian (ALE) formulation based on the consistent corotational method for flexible structures' large deformation problems is proposed. In contrast with the Lagrangian formulations, the proposed formulation can accurately describe moving boundary and load problems using moving nodes. The ALE formulation for flexible structures with an arbitrarily

In this paper, an approach to model thin composite plates reinforced with curvilinear fibres is presented and applied to analyse modes of vibration. Particular attention is given to plates with non-standard geometries, which are less commonly addressed in studies on this topic. Aiming to achieve accuracy with a small number of degrees-of-freedom, the model is based on Kirchhoff’s plate theory, combined

For additive manufacturing of fiber-reinforced composites, integrated structural topology optimization and deposition path planning is critical in capturing the anisotropic material feature for designing dynamic performance-oriented structures. Hence, this paper proposes a concurrent optimization method for simultaneously optimizing the structural topology and the fiber deposition path. The Solid Orthotropic

This paper presents a computationally effective approach for crack propagation under mechanical and thermal loads based on an adaptive mesh refinement (AMR) approach tailored for our recently developed enhanced local damage model. The mesh-dependent issue encountered in the classical local theories is effectively mitigated by incorporation of fracture energy and element characteristic length into the

Fracture in quasi-brittle materials, such as refractories and reinforced concrete, involves complex mechanisms due to a progressive micro-cracking process within a fracture process zone (FPZ). This study employs Wu's phase field model (PFM) to simulate fracture behaviour in a magnesia spinel refractory. The PFM integrates fracture mechanics and damage mechanics, predicting tortuous crack patterns when

At the mesoscale, concrete is considered a three-phase composite material comprising stone, mortar, and the interfacial transition zone. Even though mortar is an important component of concrete, its material parameters have not been determined systematically, and they are often modeled by assuming that they are weaker versions of the concrete parameters. Therefore, accurately describing the role of

The mechanical behaviour of textile materials, fundamental to textile composites, is critical for designing advanced material solutions. Mechanical modelling of textiles is highly complex due to the interactions between yarns, resulting in distinct nonlinear characteristics for different textile patterns. Therefore, engineering methods are essential for analysing loading scenarios and integrating decisions

Effective data reduction techniques are crucial for enhancing computational efficiency in complex industrial processes such as forging. In this study, we investigate various discretization and mesh adaptivity strategies using Proper Orthogonal Decomposition (POD) to optimize data reduction fidelity in forging simulations. We focus particularly on r-adaptivity techniques, which ensure a consistent number

This paper investigates the influence of surface roughness on multiple necking formation in additive manufactured porous ductile plates subjected to dynamic plane strain stretching. For this purpose, we have developed a computational model in ABAQUS/Explicit which includes surface texture and discrete voids measured from 3D-printed metallic specimens using optical profilometry and X-ray tomography

This study investigates the buckling behavior of cylindrical shells composed of Functionally Graded Materials (FGMs) when subjected to axial compression, challenging conventional assumptions regarding the influence of Poisson’s effect in homogeneous materials. To address this, we utilize a numerical approach employing the Asymptotic Numerical Method (ANM). Contrary to the expected linear pre-buckling

Failure mechanism of 3D structures cannot always be produced by the low-order finite elements due to the so-called volumetric locking effect. In this paper, dual numerical approaches based on the bubble face-based smoothed finite element method (bFS-FEM) are developed, ensuring that the locking problem is prevented and accurate load factors of elastic-perfectly plastic structures under cyclic actions

Elastic-Plastic-Damage material models are widely adopted for the numerical modelling of concrete because of their capability of representing pressure sensitive 3D material behaviour considering permanent inelastic deformations as well as degradation of material moduli beyond the elastic range. In this paper, we develop a non-associative multi-surface plastic-damage material model for the 3D solid

This paper explores mesoscale conduction-based modeling of Laser Directed Energy Deposition (LDED) for metallic materials. We benchmark the forward Euler (explicit) time integration strategy against the backward Euler (implicit) scheme using two experimentally validated simulations. Our results demonstrate the explicit scheme’s faster computational speed. Additionally, we identify previously overlooked

In this study, we propose a multiscale thickness optimization method for designing micro-shell structure assuming that the macrostructure consists of multiple micro-shell structures. The micro-shell structures are connected to the macrostructure using the NIAH (Novel numerical implementation of asymptotic homogenization) method. The distributed thickness of the micro-shell structures is used as design

In this article, a strategy for efficient computational cost reduction of numerical simulations for complex industrial applications is developed and evaluated on multiphysics problems. The approach is based on the adaptive stopping criterion for iterative linear solvers previously implemented for elliptic partial differential equations and the convection–diffusion equation. Control of the convergence

This study presents a multi-objective topology optimization method tailored to structures fabricated from functionally graded materials (FGMs), coated FGMs, and coated fiber-reinforced composite materials (FRCMs) with fixed fiber thickness. The design objective is the simultaneous minimization of elastic and thermal compliance. The material properties of these composite materials were derived to generate

Finite-element analysis is the only means to determine the load distribution of large slewing bearings considering flexible bearing rings and supporting structures. For reliable results, the plausibility of the models need to be validated. Previous attempts on validating a finite-element model of a slewing bearing against measurement results have indicated a huge dependence of the deformation on tolerances

This paper presents a numerical and experimental assessment of the static behaviour of thick sandwich beams using the mixed {3,2}-Refined Zigzag Theory (RZT{3,2}(m)). The displacement field of the RZT{3,2}(m) assumes a piecewise continuous cubic zigzag distribution for the axial contribution and a smoothed parabolic variation for the transverse one. At the same time, the out-of-plane stresses are assumed

In this paper we address one of the major difficulties which is the nonconvex behavior of the domains while finding the solution of the problems. The part of the domain where the nonsmoothness appears is where the challenge arises and the way that area is handled using different numerical methods reveals the effectiveness of these techniques. Here in this article, we study the semilinear parabolic

This paper proposes an original method to determine the gear tooth root stresses from a 3D finite element (FE) flexible multibody approach and a full-FE contact-based formulation. The contact problem is dealt with an augmented Lagrangian formulation whereas the analysis is performed by a preconditioned gradient solver (PCG). Tooth flank modifications are directly introduced within the 3D model. This

This paper investigates the application of immersed methods to simplify the discretisation and modelling process for meso-scale geometries in fibre-reinforced composites. The geometry of meso-scale structures in fibre-reinforced composites can often be categorised as complex, and frequently presents considerable challenges for meshing software. This complexity necessitates either time-consuming manual

The “poker chip problem” was originally investigated experimentally to create hydrostatic tension in rubber-like materials. Different modes of contact failure were already described during these experiments. Since then, this problem has proven to be useful for investigating the detachment mechanisms of dry adhesives. This is primarily achieved with FE simulations, as many important quantities cannot

Manufacturing processes of composites involve a margin of parameter variability (e.g., geometric, mechanical, loading) which results in an inaccurate prediction of their dynamics when considered with exact assumptions. Real-time calculation of such structures confronts engineers with several challenges (e.g., dimension of finite element model, size of parameter space, uncertainty level, nonlinearity)

A two-level version for a recent semi-hybrid-mixed finite element approach for modeling Stokes and Brinkman flows is proposed. In the context of a domain decomposition of the flow region Ω, composite divergence-compatible finite elements pairs in H(div,Ω)×L2(Ω) are utilized for discretizing velocity and pressure fields, using the same approach previously adopted for two-level mixed Darcy and stress

This work comprehensively investigates key parameters associated with a recently proposed non-intrusive coupling strategy for multiscale structural problems. The IGL-GFEMgl combines the Iterative Global Local Method and the Generalized Finite Element Method with global–local enrichment, GFEMgl. Different scales of the problem are solved using distinct finite element codes: the commercial software Abaqus

Several methods have been developed to model the dynamic behavior of saturated porous media. However, most of them are suitable only for small strain and small displacement problems and are built in a monolithic way, so that individual improvements in the solution of the solid or fluid phases can be difficult. This study shows a macroscopic approach through a partitioned fluid–solid coupling, in which

Deep energy method (DEM) has shown its successes to solve several problems in solid mechanics recently. It is known that determining proper integration scheme to precisely calculate total potential energy (TPE) value is crucial to achieve high-quality training performance of DEM but it has not been discovered satisfactorily in previous related works. To shed light on this matter, this study focuses

This paper presents a Chimera approach for the thermal problems in welding and metallic Additive Manufacturing (AM). In particular, a moving mesh is attached to the moving heat source while a fixed background mesh covers the rest of the computational domain. The thermal field of the moving mesh is solved in the heat source reference frame. The chosen framework to couple the solutions on both meshes

A novel approach for the solution of linear elasticity problems is introduced in this communication, which uses a hybrid chimera-type technique based on both finite element and improved element-free Galerkin methods. The proposed overset improved element-free Galerkin-finite element method (Ov-IEFG-FEM) for linear elasticity uses the finite element method (FEM) throughout the entire problem geometry

Metal-ceramic composites by their nature have thermal residual stresses at the micro-level, which can compromise the integrity of structural elements made from these materials. The evaluation of thermal residual stresses is therefore of continuing research interest both experimentally and by modeling. In this study, two functionally graded aluminum alloy matrix composites, AlSi12/Al2O3 and AlSi12/SiC

An intrusive Reduced Order Model (ROM) is developed for nonlinear porous media flow problems with transient and time-discontinuous fluid injection rates. The proposed ROM is significantly more computationally efficient than the Full Order Model (FOM). The training regime is generated using the FOM with constant injection rates during the offline stage. The trained ROM exhibits high accuracy for complex

Wave propagation in elastodynamic problems in solids often requires fine computational meshes. In this work we propose to combine stabilized finite element methods (FEM) with an artificial neural network (ANN) correction term to solve such problems on coarse meshes. Irreducible and mixed velocity–stress formulations for the linear elasticity problem in the frequency domain are first presented and discretized