Javier Bonet

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• Ingeniero de Caminos, PhD
• General Director at International Center for Numerical Methods in Engineering

This paper presents a new Smooth Particle Hydrodynamics (SPH) computational framework for explicit fast solid dynamics. The proposed methodology explores the use of the Streamline Upwind Petrov Galerkin (SUPG) stabilisation methodology as an alternative to the Jameson-Schmidt-Turkel (JST) stabilisation recently presented by the authors in [1] in th...

This paper presents a new Smooth Particle Hydrodynamics (SPH) computational framework for large strain explicit solid dynamics. A mixed-based set of Total Lagrangian conservation laws is presented in terms of the linear momentum and an extended set of geometric strain measures, comprised of the deformation gradient, its co-factor and the Jacobian....

This paper describes in detail the formulation of large strain solid mechanics based on the tensor cross product, originally presented by R. de Boer, Vektor- und Tensorrechnung für Ingenieure, Springer-Verlag, 1982., page 76, and recently re-introduced by Bonet et al. in J. Bonet, A. J. Gil, R. Ortigosa, A computational framework for polyconvex lar...

This paper presents a novel computational formulation for large strain polyconvex elasticity. The formulation, based on the original ideas introduced by Schröder et al. (2011), introduces the deformation gradient (the fibre map), its adjoint (the area map) and its determinant (the volume map) as independent kinematic variables of a convex strain en...

The paper presents a variationally consistent Total Lagrangian SPH (TLSPH) model for non-linear and finite strain elastic structural dynamics. To enhance the approximation of stresses (dynamics) and thus accelerations (kinematics), the deformation gradient computation is enhanced to ensure second-order completeness and accordingly the discretized m...

This paper introduces a novel Smooth Particle Hydrodynamics (SPH) computational framework that incorporates an Arbitrary Lagrangian Eulerian (ALE) formalism, expressed through a system of first-order conservation laws. In addition to the standard material and spatial configurations, an additional (fixed) referential configuration is introduced. The...

The paper introduces a computational framework using a novel Arbitrary Lagrangian Eulerian (ALE) formalism in the form of a system of first‐order conservation laws. In addition to the usual material and spatial configurations, an additional referential (intrinsic) configuration is introduced in order to disassociate material particles from mesh pos...

This paper presents a set of novel refined schemes to enhance the accuracy and stability of the updated Lagrangian SPH (ULSPH) for structural modelling. The original ULSPH structure model was first proposed by Gray et al. (Comput Methods Appl Mech Eng 190:6641–6662, 2001) and has been utilised for a wide range of structural analyses including metal...

This paper introduces a novel upwind Updated Reference Lagrangian Smoothed Particle Hydrodynamics (SPH) algorithm for the numerical simulation of large strain thermo-elasticity and thermo-visco-plasticity. The deformation process is described via a system of first-order hyperbolic conservation laws expressed in referential description, chosen to be...

This article presents a vertex‐centered finite volume algorithm for the explicit dynamic analysis of large strain contact problems. The methodology exploits the use of a system of first order conservation equations written in terms of the linear momentum and a triplet of geometric deformation measures (comprising the deformation gradient tensor, it...

This paper presents a new Updated Reference Lagrangian Smooth Particle Hydrodynamics (SPH) algorithm for the analysis of large deformation isothermal elasticity and elasto-plasticity. Taking as point of departure a Total Lagrangian setting and considering as referential configuration an intermediate configuration of the deformation process, the equ...

This paper presents mathematical models of supersonic and intersonic crack propagation exhibiting Mach type of shock wave patterns that closely resemble the growing body of experimental and computational evidence reported in recent years. The models are developed in the form of weak discontinuous solutions of the equations of motion for isotropic l...

This paper presents a novel Smooth Particle Hydrodynamics computational framework for the simulation of large strain fast solid dynamics in thermo-elasticity, with a tailor-made implementation into the modern CFD open source package "OpenFOAM". The formulation is based on the Total Lagrangian description of a system of first order conservation laws...

This paper introduces a new Incremental Updated Lagrangian Smooth Particle Hydrodynamics (SPH) computational framework in the form of a system of first order conservation laws. Specifically, the linear momentum conservation equation is solved in an incremental manner in conjunction with a set of incremental geometric conservation laws for the minor...

Designing engineering components that make optimal use of materials requires consideration of the nonlinear static and dynamic characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, which requires an understanding of both the t...

This paper presents a novel Smooth Particle Hydrodynamics computational framework for the simulation of large strain fast solid dynamics in thermo-elasticity. The formulation is based on the Total Lagrangian description of a system of first order conservation laws written in terms of the linear momentum, the triplet of deformation measures (also kn...

This paper presents a new Smooth Particle Hydrodynamics computational framework for the solution of inviscid free surface flow problems. The formulation is based on the Total Lagrangian description of a system of first-order conservation laws written in terms of the linear momentum and the Jacobian of the deformation. One of the aims of this paper...

In Parts I (Bonet et al., 2015) and II (Gil et al., 2016) of this series, a novel computational framework was presented for the numerical analysis of large strain fast solid dynamics in compressible and nearly/truly incompressible isothermal hyperelasticity. The methodology exploited the use of a system of first order Total Lagrangian conservation...

The aim of this paper is the design a new one-step implicit and thermodynamically consistent Energy–Momentum (EM) preserving time integration scheme for the simulation of thermo-elastic processes undergoing large deformations and temperature fields. Following Bonet et al. (2020), we consider well-posed constitutive models for the entire range of de...

The classical Smooth Particle Hydrodynamics (SPH) Lagrangian formalism is well-known to suffer from a number of severe drawbacks, namely: (1) hour-glassing and spurious pressure, (2) numerical issues associated with conservation, consistency, stability and convergence and (3) the reduced order of convergence for derived variables (e.g. stresses and...

Building upon previous work developed by the authors [1, 2, 3], this paper will present an upwind Smooth Particle Hydrodynamics (SPH) algorithm for a first order conservation law framework in large strain thermo-elasticity. In this work, a system of conservation equations will be expressed in terms of the linear momentum and the minors of the defor...

The computational modelling of the heart motion within a cardiac cycle is an extremely challenging problem due to (a) the complex multi-scale interaction that takes place between the electrophysiology and electrochemistry at cellular level and the macro-scale response of the heart muscle, and (b) the large deformations and the strongly anisotropic...

Well-established computational techniques, such as the Finite Element, Finite Volume or Discontinuous Galerkin methods, rely on the tessellation of the domain of interest into a number of interconnected non-overlapping elements or control volumes (the so-called computational mesh). Despite their enormous success from the modelling standpoint, these...

Please find the abstract of this poster at this location: https://congress.cimne.com/admos2019/frontal/Doc/PosterSession/6-Di_Giusto.pdf Do not hesitate to contact me (Thomas B. J. Di Giusto) if you want to discuss about this work.

The audio recording of the talk can be found here: https://youtu.be/nKSlHcTnMIg

We present a 3D hybridizable discontinuous Galerkin (HDG) method for nonlinear elasticity which can be efficiently used for thin structures with large deformation. The HDG method is developed for a three-field formulation of nonlinear elasticity and is endowed with a number of attractive features that make it ideally suited for thin structures. Reg...

This paper presents an explicit vertex centred finite volume method for the solution of fast transient isothermal large strain solid dynamics via a system of first order hyperbolic conservation laws. Building upon previous work developed by the authors, in the context of alternative numerical discretisations, this paper explores the use of a series...

This paper presents a novel computational framework for the numerical simulation of the electromechanical response of the myocardium during the cardiac cycle. The paper presents the following main novelties. (1) Two new mixed formulations, tailor-made for active stress and active strain coupling approaches, have been developed and used in conjuncti...

An industry-driven computational framework for the numerical simulation of large strain explicit solid dynamics is presented. This work focuses on the spatial discretisation of a system of first order hyperbolic conservation laws using the cell centred Finite Volume Method [1, 2, 3]. The proposed methodology has been implemented as a parallelised e...

In previous work (Lee et al., 2016, 2017), Lee et al. introduced a new Smooth Particle Hydrodynamics (SPH) computational framework for large strain explicit solid dynamics with special emphasis on the treatment of near incompressibility. A first order system of hyperbolic equations was presented expressed in terms of the linear momentum and the min...

This paper will extend the new conservation law formulation of solid dynamics presented by the authors in References [1, 2, 3] to the field of thermo-elasticity and thermo-plasticity. In order to account for thermal effects, the total energy conservation law (also known as first law of thermodynamics) will be incorporated to the set of physical law...

The paper presents a new computational framework for the numerical simulation of fast large strain solid dynamics, with particular emphasis on the treatment of near incompressibility. A complete set of first order hyperbolic conservation equations expressed in terms of the linear momentum and the minors of the deformation (namely the deformation gr...

My presentation at the European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS) 2018 in Glasgow, Scotland.

This presentation will describe a new computational paradigm [1, 2, 3] for the numerical simulation of large strain fast solid dynamics. Specifically, a new first order system of hyperbolic equations will be presented, expressed in terms of the linear momentum and the minors of the deformation (e.g. deformation gradient, co-factor and Jacobian). Ta...

Objectives: It is often convenient to determine displacements/rotations or forces/moments with the aid of energy methods. The pertinent equations are presented in this chapter. For example, it will be shown how the displacement of an arbitrary point of a structure can be calculated using energy methods.

Objectives: In Chapter 1 the deformation of a bar has been characterized by the strain and the displacement. We will now generalize these kinematic quantities to the plane and the spatial cases. For this purpose, we introduce the displacement vector and the strain tensor, the latter describing length and angle changes.

Objectives: In this chapter we analyse the stability of equilibrium positions of bars under compressive loads. Methods are presented which will enable us to determine the so-called critical load under which a bar deflects due to buckling. The aim is to enable students to apply the appropriate methods in order to determine critical loads.

Objectives: In this chapter the bending of beams is investigated. We will derive the equations which enable us to determine the stresses and the deformations during bending. The theory also makes it possible to analyse statically indeterminate systems. The students will learn how to apply the equations to specific problems.

Objectives: In Chapter 1 the notion of stress in a bar has been introduced. We will now generalize the concept of stress to make it applicable to arbitrary structures. For this purpose the stress tensor is introduced.

Objectives: In this textbook about the Mechanics of Materials we investigate the stressing and the deformations of elastic structures subjected to applied loads. In the first chapter we will restrict ourselves to the simplest structural members, namely, bars under tension or compression.

Objectives: In this chapter we investigate shafts that are twisted by external torques. As in the previous chapters, we calculate the deformations and stresses that are caused by the loading. For simplicity, we restrict ourselves to shafts with circular cross sections and to thin-walled shafts.

In this paper, we present a two-dimensional computational framework for the simulation of fluid-structure interaction problems involving incompressible flexible solids and multiphase flows, further extending the application range of classical immersed computational approaches to the context of hydrodynamics. The proposed method aims to overcome sho...

Now in its second English edition, Mechanics of Materials is the second volume of a three-volume textbook series on Engineering Mechanics. It was written with the intention of presenting to engineering students the basic concepts and principles of mechanics in as simple a form as the subject allows. A second objective of this book is to guide the s...

This paper presents a high order finite element implementation of the convex multi-variable electro-elasticity for large deformations large electric fields analyses and its particularisation to the case of small strains through a staggered scheme. With an emphasis on accurate geometrical representation, a high performance curvilinear finite element...

An industry-driven computational framework for the numerical simulation of extremely large strain solid dynamics is presented. This work focuses on the tailor-made implementation, from scratch, of the TOtal Lagrangian Upwind Cell Centred Finite Volume Method for Hyperbolic conservation laws (TOUCH) into the CFD-based open source platform OpenFOAM....

Designing engineering components that make optimal use of materials requires consideration of the nonlinear static and dynamic characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, which requires an understanding of both the t...

Designing engineering components that make optimal use of materials requires consideration of the nonlinear static and dynamic characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, which requires an understanding of both the t...

This paper builds on recent work developed by the authors for the numerical analysis of large strain solid dynamics, by introducing an upwind cell centred hexahedral Finite Volume framework implemented within the open source code OpenFOAM [http://www.openfoam.com/http://www.openfoam.com/]. In Lee, Gil and Bonet [1], a first order hyperbolic system...

In this paper, a new computational framework is presented for the analysis of nonlinear beam finite elements subjected to large strains. Specifically, the methodology recently introduced in Bonet et al. (Comput Methods Appl Mech Eng 283:1061–1094, 2015) in the context of three dimensional polyconvex elasticity is extended to the geometrically exact...

A vertex centred Jameson–Schmidt–Turkel (JST) finite volume algorithm was recently introduced by the authors (Aguirre et al., 2014 [1]) in the context of fast solid isothermal dynamics. The spatial discretisation scheme was constructed upon a Lagrangian two-field mixed (linear momentum and the deformation gradient) formulation presented as a system...

In Part I of this series, Bonet et al. (2015) introduced a new computational framework for the analysis of large strain isothermal fast solid dynamics, where a mixed set of Total Lagrangian conservation laws was presented in terms of the linear momentum and an extended set of strain measures, namely the deformation gradient, its co-factor and its J...

This article presents a versatile and robust SPH simulation approach for multiple-fluid flows. The spatial distribution of different phases or components is modeled using the volume fraction representation, the dynamics of multiple-fluid flows is captured by using an improved mixture model, and a stable and accurate SPH formulation is rigorously de...

A mixed second order stabilised Petrov–Galerkin finite element framework was recently introduced by the authors (Lee et al., 2014) [46]. The new mixed formulation, written as a system of conservation laws for the linear momentum and the deformation gradient, performs extremely well in bending dominated scenarios (even when linear tetrahedral elemen...

A mixed second order stabilised Petrov–Galerkin finite element framework was recently introduced by the authors (Lee et al., 2014) [46]. The new mixed formulation, written as a system of conservation laws for the linear momentum and the deformation gradient, performs extremely well in bending dominated scenarios (even when linear tetrahedral elemen...

In this paper, a general framework for the computational simulation of Fluid-Structure Interaction (FSI) problems involving rigid/flexible solids and multiphase flows is presented. The proposed methodology builds upon the Immersed Structural Potential Method (ISPM) developed by the authors [1, 2] for the simulation of single-phase FSI problems. Sev...

Purpose – The purpose of this paper is to present a new stabilised low-order finite element methodology for large strain fast dynamics. Design/methodology/approach – The numerical technique describing the motion is formulated upon the mixed set of first-order hyperbolic conservation laws already presented by Lee et al. (2013) where the main variab...

This paper introduces a new computational framework for the analysis of large strain fast solid dynamics. The paper builds upon previous work published by the authors (Gil et al., 2014) [1], where a first order system of hyperbolic equations is introduced for the simulation of isothermal elastic materials in terms of the linear momentum, the deform...

A vertex centred Finite Volume algorithm is presented for the numerical simulation of fast transient dynamics problems involving large deformations. A mixed formulation based upon the use of the linear momentum, the deformation gradient tensor and the total energy as conservation variables is discretised in space using linear triangles and tetrahed...

Within the group of immersed boundary methods employed for the numerical simulation of fluid-structure interaction problems, the Immersed Structural Potential Method (ISPM) was recently introduced (Gil et al., 2010) [1] in order to overcome some of the shortcomings of existing immersed methodologies. In the ISPM, an incompressible immersed solid is...

A stabilised second order finite element methodology is presented for the numerical simulation of a mixed conservation law formulation in fast solid dynamics. The mixed formulation, where the unknowns are linear momentum, deformation gradient and total energy, can be cast in the form of a system of first order hyperbolic equations. The difficulty a...

ECCOMAS PhD Olympiad 2013

Since the advent of computational mechanics, the numerical modelling of fast structural dynamics has been a major field of interest in industry. Traditionally, a Lagrangian formulation is employed for the numerical simulation of these problems and low order spatial interpolation is preferred for computational workload convenience. The well known se...

Continuum immersed strategies are widely used these days for the computational simulation of Fluid–Structure Interaction problems. The principal characteristic of such immersed techniques is the representation of the immersed solid via a momentum forcing source in the Navier–Stokes equations. In this paper, the Immersed Finite Element Method (IFEM)...

Many processes in materials science and engineering, such as the load deformation behaviour of certain structures, exhibit nonlinear characteristics. The computer simulation of such processes therefore requires a deep understanding of both the theoretical aspects of nonlinearity and the associated computational techniques. This book provides a comp...

In this paper, we study some recent formulations for the computation of upper bounds in limit analysis. We show that a previous formulation presented by the authors does not guarantee the strictness of the upper bound, nor does it provide a velocity field that satisfies the normality rule everywhere. We show that these deficiencies are related to t...

This chapter reviews the finite element simulation of superplastic forming processes. Both the traditional flow formulation and the incremental flow formulation are presented. The chapter reviews the finite element discretisation of the equilibrium equations describing the motion of a forming sheet including available strategies for the evaluation...

In this textbook about the Mechanics of Materials we investigate the stressing and the deformations of elastic structures subject to applied loads. In the first chapter we will restrict ourselves to the simplest structural members, namely, bars under tension or compression.

In this chapter the bending of beams is investigated. We will derive the equations which enable us to determine the stresses and the deformations during bending. The theory also makes it possible to analyse statically indeterminate systems. The students will learn how to apply the equations to specific problems.

In Chapter 1 the notion of stress in a bar has been introduced. We will now generalize the concept of stress to make it applicable to arbitrary structures. For this purpose the stress tensor is introduced. Subsequently we will discuss in detail the plane stress state that appears in thin sheets or plates under in-plane loading. This state is fully...

In Chapter 1 the deformation of a bar has been characterized by the strain and the displacement. We will now generalize these kinematic quantities to the plane and the spatial cases. For this purpose, we introduce the displacement vector and the strain tensor, the latter describing length and angle changes. In addition, we will extend the already k...

It is often convenient to determine displacements/rotations or forces/moments with the aid of energy methods. The pertinent equations are presented in this chapter. For example, it will be shown how the displacement of an arbitrary point of a structure can be calculated using energy methods. These methods also enable us to calculate redundant suppo...

In this chapter we analyse the stability of equilibrium positions of bars under compressive loads. Methods are presented which will enable us to determine the so-called critical load under which a bar deflects due to buckling. The aim is to enable students to apply the appropriate methods in order to determine critical loads.