Ogden
View article
Tractatus Logico-Philosophicus Open
Tractatus Logico-Philosophicus by Ludwig Wittgenstein: Three parallel tree-structured editions. (1) Tree-structured arrangement of the German text, edited by David G. Stern, Joachim Schulte and Katia Saporiti. (2) Tree-structured arrangeme…
View article
Trends in Obesity and Severe Obesity Prevalence in US Youth and Adults by Sex and Age, 2007-2008 to 2015-2016 Open
This study uses National Health and Nutrition Examination Survey data to characterize trends in obesity prevalence among US youth and adults between 2007-2008 and 2015-2016.
View article
Mechanical Characterization and FE Modelling of a Hyperelastic Material Open
The aim of research work is to characterize hyperelastic material and to determine a suitable strain energy function (SEF) for an indigenously developed rubber to be used in flexible joint use for thrust vectoring of solid rocket motor. In…
View article
A comparison of hyperelastic constitutive models applicable to brain and fat tissues Open
In some soft biological structures such as brain and fat tissues, strong experimental evidence suggests that the shear modulus increases significantly under increasing compressive strain, but not under tensile strain, whereas the apparent …
View article
How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity Open
The mechanical response of a homogeneous isotropic linearly elastic material can be fully characterized by two physical constants, the Young’s modulus and the Poisson’s ratio, which can be derived by simple tensile experiments. Any other l…
View article
A comparative study of 85 hyperelastic constitutive models for both unfilled rubber and highly filled rubber nanocomposite material Open
Nonlinear finite element analysis is widely used for structural optimization of the design and the reliability analysis of complex elastomeric components. However, high-precision numerical results cannot be achieved without reliable strain…
View article
Parameter estimation in a Holzapfel–Ogden law for healthy myocardium Open
A central problem in biomechanical studies of personalized human left ventricular (LV) modelling is to estimate material properties from in vivo clinical measurements. In this work we evaluate the passive myocardial mechanical properties i…
View article
A review on the nonlinear dynamics of hyperelastic structures Open
This paper presents a critical review of the nonlinear dynamics of hyperelastic structures. Hyperelastic structures often undergo large strains when subjected to external time-dependent forces. Hyperelasticity requires specific constitutiv…
View article
Instabilities of soft dielectrics Open
The basic modern theory of nonlinear electroelasticity and its use in the formulation of constitutive laws governing the behaviour of dielectric elastomer materials was summarized in a recent review article by Dorfmann & Ogden (Dorfmann & …
View article
Automated constitutive modeling of isotropic hyperelasticity based on artificial neural networks Open
Herein, an artificial neural network (ANN)-based approach for the efficient automated modeling and simulation of isotropic hyperelastic solids is presented. Starting from a large data set comprising deformations and corresponding stresses,…
View article
Constitutive modelling of rubbers: Mullins effect, residual strain, time-temperature dependence Open
Filled rubbers are an important part of engineering materials because they have unique properties such as large deformability, increased stiffness and energy dissipation ability. The complexity of the material model parameter identificatio…
View article
A continuum mechanics constitutive framework for transverse isotropic soft tissues Open
In this work, a continuum constitutive framework for the mechanical modelling of soft tissues that incorporates strain rate and temperature dependencies as well as the transverse isotropy arising from fibres embedded into a soft matrix is …
View article
An introduction to the Ogden model in biomechanics: benefits, implementation tools and limitations Open
Constitutive models are important to biomechanics for two key reasons. First, constitutive modelling is an essential component of characterizing tissues’ mechanical properties for informing theoretical and computational models of biomechan…
View article
On the AIC-based model reduction for the general Holzapfel–Ogden myocardial constitutive law Open
Constitutive laws that describe the mechanical responses of cardiac tissue under loading hold the key to accurately model the biomechanical behaviour of the heart. There have been ample choices of phenomenological constitutive laws derived…
View article
Biomechanical evaluation of human and porcine Auricular cartilage Open
Objectives/Hypothesis The mechanical properties of normal auricular cartilage provide a benchmark against which to characterize changes in auricular structure/function due to genetic defects creating phenotypic abnormalities in collagen su…
View article
A Hyper-Viscoelastic Constitutive Model for Polyurea under Uniaxial Compressive Loading Open
A hyper-viscoelastic constitutive model for polyurea by separating hyperelastic and viscoelastic behaviors has been put forward. Hyperelasticity represents the rate-independent responses at low strain rates, described by a three-parameter …
View article
Parameter Identification Methods for Hyperelastic and Hyper-Viscoelastic Models Open
In this paper, the Ogden model is employed to characterize the hyperelastic properties of rubber, and on the basis of a pattern search algorithm and the Levenberg-Marquardt algorithm, a professional method that can realize the comprehensiv…
View article
A three-parameter structurally motivated robust constitutive model for isotropic incompressible unfilled and filled rubber-like materials Open
A structurally motivated three-parameter strain energy function W is presented in this paper for application to the constitutive modelling of various types of incompressible isotropic rubber-like materials, from unfilled to filled rubbers,…
View article
In vivo estimation of passive biomechanical properties of human myocardium Open
Identification of in vivo passive biomechanical properties of healthy human myocardium from regular clinical data is essential for subject-specific modelling of left ventricle (LV). In this work, myocardium was defined by Holzapfel-Ogden c…
View article
Stochastic isotropic hyperelastic materials: constitutive calibration and model selection Open
Biological and synthetic materials often exhibit intrinsic variability in their elastic responses under large strains, owing to microstructural inhomogeneity or when elastic data are extracted from viscoelastic mechanical tests. For these …
View article
The mechanical properties of tibiofemoral and patellofemoral articular cartilage in compression depend on anatomical regions Open
Articular cartilage in knee joint can be anatomically divided into different regions: medial and lateral condyles of femur; patellar groove of femur; medial and lateral plateaus of tibia covered or uncovered by meniscus. The stress–strain …
View article
Principal-stretch-based constitutive neural networks autonomously discover a subclass of Ogden models for human brain tissue Open
The soft tissue of the brain deforms in response to external stimuli, which can lead to traumatic brain injury. Constitutive models relate the stress in the brain to its deformation and accurate constitutive modeling is critical in finite …
View article
Comparison of the material models in rubber finite element analysis Open
In rubber product design finite element analysis is widely used. The aim of this research is to choose the appropriate material models and to determine the related material parameters for finite element analysis of a rubber jounce. Rubber …
View article
Analysis of the compressible, isotropic, neo-Hookean hyperelastic model Open
The most widely-used representation of the compressible, isotropic, neo-Hookean hyperelastic model is considered in this paper. The version under investigation is that which is implemented in the commercial finite element software ABAQUS, …
View article
Stochastic modeling of a class of stored energy functions for incompressible hyperelastic materials with uncertainties Open
In this Note, we address the construction of a class of stochastic Ogden's stored energy functions associated with incompressible hyperelastic materials. The methodology relies on the maximum entropy principle, which is formulated under co…
View article
A straight mixed mode fracture with the steigmann–ogden boundary condition Open
A problem of a straight mixed mode non-interface fracture in an infinite plane is treated analytically with the help of complex analysis techniques. The surfaces of the fracture are subjected to surface elasticity in the form proposed by S…
View article
Modelling brain tissue elasticity with the Ogden model and an alternative family of constitutive models Open
The Ogden model is often considered as a standard model in the literature for application to the deformation of brain tissue. Here, we show that, in some of those applications, the use of the Ogden model leads to the non-convexity of the s…
View article
The Ogden model of rubber mechanics: 50 years of impact on nonlinear elasticity Open
We place the Ogden model of rubber elasticity, published in Proceedings of the Royal Society 50 years ago, in the wider context of the theory of nonlinear elasticity. We then follow with a short interview of Ray Ogden FRS and introduce the…
View article
Investigating Mechanical Behaviours of PDMS Films under Cyclic Loading Open
Polydimethylsiloxane (PDMS) is widely utilised as a substrate for wearable (stretchable) electronics where high fatigue resistance is required. Cyclic loadings cause the rearrangement of the basic molecular structure of polymer chains, whi…
View article
Wrinkles and creases in the bending, unbending and eversion of soft sectors Open
We study what is clearly one of the most common modes of deformation found in nature, science and engineering, namely the large elastic bending of curved structures, as well as its inverse, unbending, which can be brought beyond complete s…