H. Nguyen-Xuan

HUTECH University · Cirtech institute

This paper aims to analyze fluid–structure interaction (FSI) problems of revetment slope thin-walled structures using ABAQUS software. The method is based on a combination of computational fluid dynamics (CFD) for fluids and finite element method (FEM) for structures. During the simulation process, the required data are exchanged by the subsystems....

This chapter presents naturally stabilized nodal integration (NSNI) meshfree formulations for thermo-mechanical analysis of functionally graded material (FGM) plates. The effective material properties of FGM plates are homogenized by a rule of mixture. Gradient strains from the present approach are directly computed at nodes, the same as the direct...

The strong development of numerical models, especially, computational fluid dynamic (CFD, i.e., the using of computational software to visualize how liquid affects objects as it flows past) and fluid–structure interaction (FSI, i.e., the coupling applications of fluid and structural mechanics disciplines) brought engineers more good measures to inv...

In this work, a tele-manipulator system with force feedback (Haptic tele-manipulator) is designed and manufactured. The haptic tele-manipulator system in this study consists of two main parts: slave and master manipulator. The slave manipulator is a three 3-rotary degrees of freedom (DOF) manipulator and driven by AC servo motors. At the end effect...

In the present contribution, a practical and non-destructive method for the identification of a single crack in a beam resting on elastic foundation is presented. The beam is modelled by differential quadrature method, and the location and depth of crack are predicted by bees algorithm. The crack is assumed to be open and is simulated by torsional...

The importance of revetment slope (RS) structures for protecting coastal is indisputable. RS structures not only can maintain stability of embankment, but also can reduce sea wave energy by its optimized geometric features. For years, civil engineers have developed numerous solutions of RS structures based on theoretical aspects, experiments, and n...

We investigate a new numerical procedure based on a bubble-enriched finite element formulation in combination with the implicit backward Euler scheme for nonlinear analysis of strip footings and stability of slopes. The soil body is modeled as a perfect plastic Mohr–Coulomb material. The displacement field is approximated by a 4-node quadrilateral...

This paper presents a size-dependent four-unknown shear deformable model for static bending, free vibration and buckling analyses of isotropic and sandwich functionally graded (FG) microplates based on the modified strain gradient theory (MSGT). The MSGT requires three material length scale parameters instead of five parameters as well known in the...

This book provides an overview of state-of-the-art methods in computational engineering for modeling and simulation. This proceedings volume includes a selection of refereed papers presented at the International Conference on Advances in Computational Mechanics (ACOME) 2017, which took place on Phu Quoc Island, Vietnam on August 2-4, 2017. The co...

The objective of this study is to develop an effective numerical model within the framework of an isogeometric analysis (IGA) to investigate the geometrically nonlinear responses of functionally graded (FG) microplates subjected to static and dynamic loadings. The size effect is captured based on the modified strain gradient theory with three lengt...

In this study, a new and efficient computational approach based on isogeometric analysis (IGA) and refined plate theory (RPT) is proposed for the geometrically nonlinear analysis of functionally graded (FG) microplates. While the microplates’ size-dependent effects are efficiently captured by a simple modified couple stress theory (MCST) with only...

A novel layerwise C⁰-type higher order shear deformation theory (layerwise C⁰-type HSDT) for the analysis of laminated composite and sandwich plates is proposed. A C⁰-type HSDT is used in each lamina layer and the continuity of in-plane displacements and transverse shear stresses at inner-laminar layer is consolidated. The present layerwise theory...

Naturally stabilized nodal integration (NSNI) meshfree formulations associated with the higher-order shear deformation plate theory (HSDT) are proposed to analyze bending and free vibration behaviors of carbon nanotube-reinforced composite (CNTRC) plates. An extended rule of mixture is used to compute the effective material properties of CNTRC plat...

In this paper, we present for the first time a size-dependent model based on the modified couple stress theory (MCST) and isogeometric analysis (IGA) for the static and free vibration behaviors of functionally graded carbon nanotube reinforced composite (FG-CNTRC) nanoplates. By using higher order shear deformation theory for displacement fields, t...

In this paper, an alternative formulation of the NS-FEM based on an assumed stress field is presented to include drilling rotations. Within each triangular element the displacement field is described by a revised Allman triangle interpolation, while the stress field is assumed as linear or linear reduced on the conflict domain of the background gri...

In this study, a polygonal finite element method (PFEM) is extended and combined with the C⁰-type higher-order shear deformation theory (C⁰-HSDT) for the static and free vibration analyses of laminated composite plates. Only the piecewise-linear shape function which is constructed based on sub-triangles of polygonal element is considered. By using...

A Reissner-Mindlin plate formulation on arbitrary polygonal meshes is proposed for plate analysis. We consider four barycentric shape function types named Wachspress, mean-value, Laplace and piecewise-linear and show its properties in numerical computation for Reissner-Mindlin plate problems. We then generalize an assumed strain field along sides o...

This study presents a polytree-based adaptive methodology for multi-material topology optimization (MMTOP). Polytree data structure is introduced as a general recursive multi-level mesh that is automatically refined in processing based on error analysis. In order to resolve hanging nodes in element edges, the Wachspress coordinate is employed on a...

The objective of this paper is apply isogeometric analysis (IGA) to analyze thermoelastic behavior of functionally graded material (FGM) structures. IGA is built on NURBS basis functions used to model exact geometries with higher-order approached functions. The FGM is a type of advanced composite material has material properties is continuous distr...

An improved three-node triangular plate finite element is presented for plate analysis. The key idea is to enhance the performance of the original MITC3 element with an edge-based strain smoothing technique. To address this derivation, the MITC3 is explicitly formulated to obtain constant gradient matrices. All strain fields are then averaged over...

This article addresses a naturally stabilized nodal integration (NSNI) meshfree formulation for static, free vibration and buckling analyses of laminated composite and sandwich plates based on the higher order shear deformation theory (HSDT). The crucial idea is to directly compute integrations at nodes similar to the direct nodal integration (DNI)...

Isogeometric analysis (IGA) based on HSDT is used to simulate buckling analysis of nanoplates. The material properties of nanoplates based on the Mori–Tanaka schemes and the rule of mixture are used. The differential nonlocal equations with size effect are utilized. The nonlocal governing equations are approximated according to IGA, that satisfies...

In this paper, a suitable and simple computational formulation based on Isogeometric Analysis (IGA) integrated with higher-order shear deformation theory (HSDT) is introduced for size-dependent buckling analysis of functionally graded material (FGM) nanoplates. The material properties of FGM based on the Mori–Tanaka schemes and the rule of mixture...

In the present investigation, a suitable and simple computational formulation based on Isogeometric Analysis (IGA) integrated with higher-order shear deformation theory (HSDT) is introduced for size-dependent geometrically nonlin-ear transient analysis of functionally graded material (FGM) nanoplates. The material properties of FGM based on the Mor...

In this study, the effects of uncertain material properties on the buckling response of laminated composite structures based on the isogeometric analysis will be presented. The target modulus of elasticity fields are assumed to be a stochastic field and case studies are considered for laminated composite structures including beams and plates. The s...

This paper presents an effective and simple computational formulation based on isogeometric analysis (IGA) and generalized higher-order shear deformation theory (GHSDT) to study size-dependent analysis of functionally graded carbon nano-reinforced composite (FG-CNTRC) nanoplates. The material properties of FG-CNTRC are assumed to be graded through...

An effective numerical approach is proposed for calculating limit and shakedown load multipliers of structures. The key idea is to integrate isogeometric analysis (IGA) based on Bézier extraction into an associated primal-dual algorithm. Such an associated primal-dual algorithm based upon the von Mises yield criterion and a Newton-like iteration is...

We present a generalized shear deformation theory in combination with isogeometric (IGA) approach for nonlinear transient analysis of smart piezoelectric functionally gradedmaterial (FGM) plates. The nonlinear transient formulation for plates is formed in the total Lagrange approach based on the von Kármán strains, which includes thermo-piezoelectr...

Material nonlinearity is of great importance in many engineering problems. In this paper, we exploit NURBS-based isogeometric approach in solving materially nonlinear problems, i.e. elastoplastic problems. The von Mises model with linear isotropic hardening and kinematic hardening is presented, and furthermore the method can also be applied to othe...

We in this paper present a novel adaptive finite element scheme for limit analysis of cracked structures. The key idea is to develop a general refinement algorithm based on a so-called polytree mesh structure. The method is well suited for arbitrary polygonal elements and furthermore traditional triangular and quadrilateral ones, which are consider...

We propose a highly effective approach using a novel adaptive methodology to perform topology optimization with polygonal meshes, called polytree meshes. Polytree is a hierarchical data structure based on the principle of recursive spatial decomposition of each polygonal element with n nodes into (n + 1) arbitrary new polygonal elements; enabling m...

This paper presents a generalized layerwise higher-order shear deformation theory for static, free vibration and buckling analyses of symmetric laminated composite and sandwich plates using improved meshfree radial point interpolation method (iRPIM). The approach comes from a layerwise model combined with a generalized higher-order shear deformatio...

Static and vibration analysis of isotropic and functionally graded sandwich plates using a higher-order shear deformation theory is presented in this paper. Lagrangian functional is used to derive the equations of motion. The mixed interpolation of tensorial components (MITC) approach and edge-based-strain technique is used to solve problems. A MIT...

In this study a new configuration of magneto-rheological brake (MRB) is proposed, optimally designed and evaluated. The brake has two coils placed directly on each side of the housing. The coils are separated with the magnetorheological fluid (MRF) duct by a thin wall of the side housing. With this configuration, the inner face of the side housing,...

We present an isogeometric thin shell formulation for multi-patches based on rational splines over hierarchical T-meshes (RHT-splines). Nitsche’s method is employed to efficiently couple the patches. The RHT-splines have the advantages of allowing a computationally feasible local refinement, are free from linear independence, possess high order con...

This paper investigates a rotation-free moving Kriging (MK) meshfree approach for isotropic and sandwich functionally graded material (FGM) plates based on a refined plate theory (RPT). The present formulation makes certain that the tangential stress-free boundary conditions at the top and bottom surfaces of the plate are satisfied with any nonline...

This work presents an isogeometric finite element formulation based on Bézier extraction of the non-uniform rational B-splines (NURBS) in combination with a generalized unconstrained higher-order shear deformation theory (UHSDT) for laminated composite plates. The proposed approach relaxes zero-shear stresses at the top and bottom surfaces of the p...

We propose a mixed smoothed finite element model for plane elasticity. Within each triangular element the displacement field is described by a revised Allman interpolation, while the stresses are assumed to be piece-wise constant on a background grid associated with the edges of the triangle. A straightforward implementation of the element, in orde...

This paper presents a generalized layerwise higher-order shear deformation theory for laminated composite and sandwich plates. We exploit a higher-order shear deformation theory in each layer such that the continuity of the displacement and transverse shear stresses at the layer interfaces is ensured. Thanks for enforcing the continuity of the disp...

This paper investigates nonlinear bending and buckling behaviours of composite plates characterized by a thickness variation. Layer interfaces are described as functions of inplane coordinates. Top and bottom surfaces of the plate are symmetric about the midplane and the plate could be considered as a flat surface in analysis along with thickness p...

Analysis of static bending, free vibration and buckling behaviours of functionally graded microplates is investigated in this study. The main idea is to use the isogeometric analysis in associated with novel four-variable refined plate theory and quasi-3D theory. More importantly, the modified couple stress theory with only one material length scal...

We propose an adaptive polygonal finite element formulation for collapse plastic analysis of solids. The article contributes into four crucial points: 1) Wachspress shape functions at vertex and bubble nodes handled at a primal-mesh level; 2) plastic strain rates and dissipation performed over a dual-mesh level; 3) a new adaptive primal-mesh strate...

A meshfree method with a modified distribution function of Moving Kriging (MK) interpolation is investigated. This method is then combined with a high order shear deformation theory (HSDT) for static, dynamic and buckling analyses of functionally graded material (FGM) isotropic and sandwich plates. A meshfree method uses the normalized form of MK i...

This paper brings to the readers a unified framework on higher order shear deformation theories (HSDTs), modelling and analysis of laminated composite plates. The major objective of this work is to (1) unify all higher order shear deformation theories in a unique formulation by a polynomial form; (2) propose the new higher shear deformation models...

We present a selective edge-based smoothed finite element method (sES-FEM) of kinematic theorem for predicting the plastic limit loads in structures. The basic idea in this method is to use two levels of mesh repartitioning for the finite element limit analysis. The master level begins with an adaptive primal-mesh strategy guided by a dissipation-b...

Equilibrium and stability equations of functionally graded material (FGM) plate under thermal environment are formulated in this paper based on isogeometric analysis (IGA) in combination with higher-order shear deformation theory (HSDT). The FGM plate is made by a mixture of two distinct components, for which material properties not only vary conti...

This paper presents a simple and efficient approach for predicting the plastic limit loads in cracked planestrain structures.We use two levels of mesh repartitioning for the finite element limit analysis. The master level handles an adaptive primal-mesh process through a dissipation-based indicator. The slave level performs the subdivision of each...

This paper presents a new simple four-unknown shear and normal deformations theory (sSNDT) for static, dynamic and buckling analyses of functionally graded material (FGM) isotropic and sandwich plates. The fully three-dimensional material matrix is used in the relation between stress and strain. The present theory uses only four independent unknown...

In this paper, equilibrium and stability equations of functionally graded material (FGM) plate under thermal environment are formulated based on isogeometric analysis (IGA) in combination with higher-order shear deformation theory (HSDT). The FGM plate is made by a mixture of two distinct components, for which material properties not only vary cont...

Abstract In this paper, an efficient computational approach based on refined plate theory (RPT) including the thickness stretching effect in conjunction with isogeometric formulation (IGA) is proposed for the size-dependent bending, free vibration and buckling analysis of functionally graded nanoplate structures. The present novel quasi-3D theory n...

We propose a new numerical method, namely the staggered cell-centered finite element method for compressible and nearly incompressible linear elasticity problems. By building a dual mesh and its triangular sub-mesh, the scheme can be constructed from a general mesh in which the displacement is approximated by piecewise linear (P1) functions on the...

In recent years, 3D printing technology has become an efficient auxiliary device for manufacturing in experiment as well as commerce. The preeminent features of 3D printing are to provide closely connection of numerical simulation and design for actual structures. Current products are with complicated geometries which are still challenging with tra...

We propose a new numerical method, namely the staggered cell-centered finite element method (SC-FEM) for compressible and nearly incompressible linear elasticity problems. By building a dual mesh and its triangular sub-mesh, the scheme can be constructed from a general mesh in which the displacement is approximated by piecewise linear (P1) function...

An efficient computational approach based on a generalized unconstrained approach in conjunction with isogeometric analysis (IGA) are proposed for dynamic control of smart piezoelectric composite plates. In composite plates, the mechanical displacement field is approximated according to the proposal model using isogeometric elements and the nonline...

This paper presents a simple and effective formulation based on isogeometric analysis (IGA) and higher-order shear deformation theory (HSDT) to investigate the static and dynamic behavior of functionally graded carbon nano-reinforced composite plates. The material properties of functionally graded carbon nanotube-reinforced composites (FG-CNTRCs) a...

This article proposes an efficiently computational tool based on an isogeometric finite element formulation of three-dimensional (3-D) elasticity for static and dynamic response analysis of functionally graded material (FGM) plates. The material properties of FGM plate structures are continuously assumed to vary according to the four-parameter powe...

We present in this paper a rigorous theoretical framework to show stability, convergence and accuracy of improved edge-based and face-based smoothed finite element methods (bES-FEM and bFS-FEM) for nearly-incompressible elasticity problems. The crucial idea is that the space of piecewise linear polynomials used for the displacements is enriched wit...

This paper deals with critical roles of cubic bubble functions for the edge-based finite element method (ES-FEM) formulation within the framework of the kinematic theorem for predicting the plastic collapse loads of structures. We show that the bubble function can be scaled by a non-zero coefficient alpha, while the volumetric locking is entirely e...

In this paper, we study the static bending and free vibration of cross-ply laminated composite plates using sinusoidal deformation theory. The plate kinematics is based on the recently proposed Carrera Unified Formulation (CUF), and the field variables are discretized with the non-uniform rational B-splines within the framework of isogeometric anal...

We further study isogeometric approach for response analysis of laminated composite plates using the higher-order shear deformation theory. The present theory is derived from the classical plate theory (CPT) and the shear stress free surface conditions are naturally satisfied. Therefore, shear correction factors are not required. Galerkin weak form...

In this paper, we present an effectively numerical approach based on isogeometric analysis (IGA) and higher-order shear deformation theory (HSDT) for geometrically nonlinear analysis of laminated composite plates. The HSDT allows us to approximate displacement field that ensures by itself the realistic shear strain energy part without shear correct...

An extended isogeometric element formulation (XIGA) for the analysis of through-the-thickness cracks in thin shell structures is developed. The discretization is based on Non-Uniform Rational B-Splines (NURBS). The proposed XIGA formulation can reproduce the singular field near the crack tip and the discontinuities across the crack. It is based on...

A novel and effective formulation that combines the eXtended IsoGeometric Approach (XIGA) and Higher-order Shear Deformation Theory (HSDT) is proposed to study the free vibration of cracked plates. XIGA utilizes the Non-Uniform Rational B-Spline (NURBS) functions with their inherent arbitrary high order smoothness, which permit the C 1 requirement...

This paper presents a simple and effective formulation based on a rotation-free isogeometric approach for the assessment of collapse limit loads of plastic thin plates in bending. The formulation relies on the kinematic (or upper bound) theorem and namely B-splines or non-uniform rational B-splines (NURBS), resulting in both exactly geometric repre...

Our shakedown reduced kinematic formulation is developed to solve some typical plane stress problems, using finite element method. Whenever the comparisons are available, our results agree with the available ones in the literature. The advantage of our approach is its simplicity, computational effectiveness, and the separation of collapse modes for...

We investigate a numerical procedure based on extended isogeometric elements in combination with second-order cone programming (SOCP) for assessing collapse limit loads of cracked structures. We exploit alternative basis functions, namely B-splines or non-uniform rational B-splines (NURBS) in the context of limit analysis. The optimization formulat...

A cell-based smoothed discrete shear gap method (CS-FEM-DSG3) based on the first-order shear deformation theory (FSDT) was recently proposed for static and dynamics analyses of Mindlin plates. In this paper, the CS-FEM-DSG3 is extended to the C0-type higher-order shear deformation plate theory (C0-HSDT) and is incorporated with damping-spring syste...

This paper extends further the strain smoothing technique in finite elements to 8-noded hexahedral elements (CS-FEM-H8). The idea behind the present method is similar to the cell-based smoothed 4-noded quadrilateral finite elements (CS-FEM-Q4). In CSFEM, the smoothing domains are created based on elements, and each element can be further subdivided...

The paper is devoted to the penalty cell-centered finite element scheme (pFECC)on general meshes for the stationary Stokes problems with an incompressible variable viscosity and Dirichlet boundary conditions. In the objectives of this work, we show the rigorous mathematical analysis including the existence, the uniqueness of a discrete solution of...

In this paper, a novel and effective formulation based on isogeometric approach (IGA) and Refined Plate Theory (RPT) is proposed to study the behavior of laminated composite plates. Using many kinds of higher-order distributed functions, RPT model naturally satisfies the traction-free boundary conditions at plate surfaces and describes the non-line...

A novel and effective formulation that combines the eXtended IsoGeometric Approach (XIGA) and Higher-order Shear Deformation Theory (HSDT) is proposed to study the free vibration of cracked Functionally Graded Material (FGM) plates. Herein, the general HSDT model with five unknown variables per node is applied for calculating the stiffness matrix w...

This paper presents a new inverse tangent shear deformation theory (ITSDT) for the static, free vibration and buckling analysis of laminated composite and sandwich plates. In the present theory, shear stresses are vanished at the top and bottom surfaces of the plates and shear correction factors are no longer required. A weak form of the static, fr...

This paper presents an effective formulation to study the response of laminated composites based on isogeometric approach (IGA) and Carrera unified formulation (CUF). The IGA utilizes the non-uniform rational B-spline (NURBS) functions which allows to construct higher order smooth functions with less computational effort. The static bending and the...

The edge-based smoothing discrete shear gap method (ES-DSG3) using three-node triangular elements is combined with a C0-type higher-order shear deformation theory (HSDT) to give a new linear triangular plate element for static, free vibration and buckling analyses of laminated composite plates. In the ES-DSG3, only the linear approximation is neces...

The edge-based smoothed finite element method (ES-FEM) was recently proposed to improve the performance of linearly triangular finite element models for mechanics problems. Such a good performance is attributed to the right amount softening induced by the edge-based smoothing operation. In this paper, we propose an improved formulation of the ES-FE...