scientific article

Publication date: 18 July 2001

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

variational principles thermodynamics finite elasticity hyperelastic materials tensors finite viscoelasticity vectors nonlinear solid mechanics balance principles objectivity of tensor fields

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Thermodynamics in solid mechanics (74A15) Nonlinear constitutive equations for materials with memory (74D10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of deformable solids (74-01)

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Application to intra-abdominal pressure prediction, On the simultaneous solution of structural membranes on all level sets within a bulk domain, Discovering the mechanics of artificial and real meat, Univariate Gauss quadrature for structural modelling of tissues and materials with distributed fibres, Simulating hyperelasticity and fractional viscoelasticity in the human heart, \(\mathrm{FE^{ANN}}\): an efficient data-driven multiscale approach based on physics-constrained neural networks and automated data mining, Incompressible rubber thermoelasticity: a neural network approach, Swelling of pH-sensitive hydrogel pressure vessel under altered-pH coupled with inflation, extension, and torsion, Standard gradient models and application to continuum damage in shell structures, On \(\Lambda\)-fractional elastic solid mechanics, Excluded volume effects and fractional viscoelasticity in polymers, A structure-preserving integrator for incompressible finite elastodynamics based on a Grad-div stabilized mixed formulation with particular emphasis on stretch-based material models, Topology optimization of compliant mechanisms under transient thermal conditions, On automated model discovery and a universal material subroutine for hyperelastic materials, Neural network-based multiscale modeling of finite strain magneto-elasticity with relaxed convexity criteria, Damage in a comprehensive model for shape memory alloys in logarithmic strain space, Transient swelling-induced finite bending of hydrogel-based bilayers: analytical and FEM approaches, Hyperelasticity and the radial point interpolation method via the Ogden model, Two-dimensional growth of incompressible and compressible soft biological tissues, A continuum and computational framework for viscoelastodynamics. II: Strain-driven and energy-momentum consistent schemes, Circumventing volumetric locking in explicit material point methods: A simple, efficient, and general approach, Non‐affine fiber kinematics in arterial mechanics: a continuum micromechanical investigation, Chemomechanical models for soft tissues based on the reconciliation of porous media and swelling polymer theories, Numerical analyses of the interrelation between extracellular smooth muscle orientation and intracellular filament overlap in the human abdominal aorta, Towards non‐invasive in vivo characterization of the pathophysiological state and mechanical wall strength of the individual human AAA wall based on 4D ultrasound measurements, Energy-based nonlinear dynamical modeling of dielectric elastomer transducer systems suspended by elastic structures, Analysis of the compressible, isotropic, neo-Hookean hyperelastic model, Phase-field fracture modeling for unidirectional fiber-reinforced polymer composites, A computational framework for crack propagation along contact interfaces and surfaces under load, A nonlinear visco-poroelasticity model for transversely isotropic gels, Singular travelling waves in soft viscoelastic solids of rate type, Verification and convergence study of a spectral-element numerical methodology for fluid-structure interaction, Large time behavior of solutions for a PDE model for compressible elastic curve, Adaptive coupling of non-ordinary state-based peridynamics and classical continuum mechanics for fracture analysis, A three-dimensional finite element formulation coupling electrochemistry and solid mechanics on resolved microstructures of all-solid-state lithium-ion batteries, Viscoelastic constitutive artificial neural networks (vCANNs) -- a framework for data-driven anisotropic nonlinear finite viscoelasticity, A subdivision-stabilized B-Spline mixed material point method, A note on traction continuity across an interface in a geometrically non-linear framework, Numerical modelling of nonlinear thermo-electro-elasticity, Erratum, A modelling framework for finite strain magnetoviscoelasticity, On compressible versions of the incompressible neo-Hookean material, Influence of myocardial fiber/sheet orientations on left ventricular mechanical contraction, An anisotropic nonlinear elasticity model for tearing of fibrous soft biomaterials, Dynamic fiber reorientation in a fiber-reinforced hyperelastic material, A nonlinear thermomechanical formulation for anisotropic volume and surface continua, The Candy Wrapper Problem: A Temporal Multiscale Approach for PDE/PDE Systems, Purely elastic instabilities in the airways and oral area, Influence of membrane viscosity on capsule dynamics in shear flow, Modelling and testing of a wave energy converter based on dielectric elastomer generators, On fibre dispersion modelling of soft biological tissues: a review, A damage model for collagen fibres with an application to collagenous soft tissues, Analysis of the changing geometry of flexible structure: 1. approach and formulation, The relationship between viscoelasticity and elasticity, Geometric linearization of theories for incompressible elastic materials and applications, From nonlinear to linearized elasticity via Γ-convergence: The case of multiwell energies satisfying weak coercivity conditions, Small amplitude homogenization applied to models of non-periodic fibrous materials, Simulation of Tire Dynamic Behavior Using Various Finite Element Techniques, Hypoelastic soft tissues. I: Theory, Hypoelastic soft tissues. II: In-plane biaxial experiments, A review of higher order strain gradient theories of plasticity: origins, thermodynamics and connections with dislocation mechanics, Variational formulation of generalized interfaces for finite deformation elasticity, Constitutive Equations for Hyperelastic Materials Based on the Upper Triangular Decomposition of the Deformation Gradient, Nonlinear magnetoelastic deformations of porous solids, On a new class of non-Gaussian molecular-based constitutive models with limiting chain extensibility for incompressible rubber-like materials, The creation of a high-fidelity finite element model of the kidney for use in trauma research, A study on an incompressible polymeric pressurized vessel subjected to bulk degradation, A chemo-mechano-thermodynamical contact theory for adhesion, friction, and (de)bonding reactions, A study on deformation-induced degradation of the compressible polymeric pressurized vessel through a non-equilibrium thermodynamic framework, Multiscale modelling of erythrocytes in Stokes flow, Surface instability of an encapsulated bubble induced by an ultrasonic pressure wave, A computational procedure for prebending of wind turbine blades, A variational framework for fiber-reinforced viscoelastic soft tissues, Coupled electromechanical model of the heart: Parallel finite element formulation, Modeling Biomechanics in the Healthy and Diseased Heart, Anti-plane Shear in Hyperelasticity, Conjugated kinetic and kinematic measures for constitutive modeling of the thermoelastic continua, Wave Propagation in Layered Fiber Composites with Nonlinear Material Laws, Ageing of polymer bonds: a coupled chemomechanical modelling approach, The principle of the minimum of the dissipation potential for non-isothermal processes, A thermo-mechanically coupled field model for shape memory alloys, Innovative and efficient stent flexibility simulations based on isogeometric analysis, Isogeometric collocation for large deformation elasticity and frictional contact problems, Multiscale FEM approach for hysteresis friction of rubber on rough surfaces, A mechanochemical 3D continuum model for smooth muscle contraction under finite strains, An assessment of the phase field formulation for crack growth, Fast computation of soft tissue deformations in real-time simulation with hyper-elastic mass links, Multiscale modelling and homogenisation of fibre-reinforced hydrogels for tissue engineering, Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations, A variational constitutive update algorithm for a set of isotropic hyperelastic-viscoplastic material models, Galerkin-based mechanical integrators for finite elastodynamics formulated in principal stretches - Pitfalls and remedies, Finite element formulation for modeling nonlinear viscoelastic elastomers, Finite Deformation Contact Based on a 3D Dual Mortar and Semi-Smooth Newton Approach, The Convexity Properties of a Class of Constitutive Models for Biological Soft Issues, A comparison of conservation law construction approaches for the two-dimensional incompressible Mooney-Rivlin hyperelasticity model, ST and ALE-VMS methods for patient-specific cardiovascular fluid mechanics modeling, Stochastic isotropic hyperelastic materials: constitutive calibration and model selection, Mathematical and computational modelling of skin biophysics: a review, A General Approach to Derive Stress and Elasticity Tensors for Hyperelastic Isotropic and Anisotropic Biomaterials, Automatic Symbolic Computation for Discontinuous Galerkin Finite Element Methods, Numerical Investigation of High-Order Solid Finite Elements for Anisotropic Finite Strain Problems, Reduced biomechanical models for precision-cut lung-slice stretching experiments, Anisotropic finite strain viscoelasticity: constitutive modeling and finite element implementation, Versatile stabilized finite element formulations for nearly and fully incompressible solid mechanics, Fracture simulation of viscoelastic polymers by the phase-field method, Enhanced computational homogenization techniques for modelling size effects in polymer composites, Formulation and experimental validation of space-fractional Timoshenko beam model with functionally graded materials effects, Mechanobiological stability of biological soft tissues, Crack kinking in a variational phase-field model of brittle fracture with strongly anisotropic surface energy, A finite strain electro-chemo-mechanical theory for ion transport with application to binary solid electrolytes, Constrained neural network training and its application to hyperelastic material modeling, Wrinkling and smoothing of a soft shell, A theory of finite strain magneto-poromechanics, Numerical modelling of thermomechanical solids with highly conductive energetic interfaces, Refining finite-time Lyapunov exponent ridges and the challenges of classifying them, Strain energy density as a Gaussian process and its utilization in stochastic finite element analysis: application to planar soft tissues, A mixed polygonal finite element formulation for nearly-incompressible finite elasticity, A new family of constitutive artificial neural networks towards automated model discovery, The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications, An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites, Discretization Methods for Solids Undergoing Finite Deformations, Eulerian formulation and level set models for incompressible fluid-structure interaction, Mathematical modelling and numerical solution of swelling of cartilaginous tissues. Part I: Modelling of incompressible charged porous media, A hyperbolic generalized Zener model for nonlinear viscoelastic waves, An investigation on multilayer shape memory polymers under finite bending through nonlinear thermo-visco-hyperelasticity, On the influence of time-dependent behaviour of elastomeric wave energy harvesting membranes using experimental and numerical modelling techniques, On the time-dependent mechanics of membranes via the nonlinear finite element method, QUASI-STATIC INFLATION SIMULATIONS BASED ON CO-ROTATIONAL TRIANGULAR SPACE MEMBRANE ELEMENTS, Lung mechanics: a review of solid mechanical elasticity in lung parenchyma, Stability of gravity-driven free-surface flow past a deformable solid at zero and finite Reynolds number, Disarrangements and instabilities in augmented one-dimensional hyperelasticity, Basic Equations of Continuum Mechanics, Volumetric-Distortional Decomposition of Deformation and Elasticity Tensor, On planar biaxial tests for anisotropic nonlinearly elastic solids. A continuum mechanical framework, Generalization of one-dimensional material models for the finite element method, On the constitutive modeling of reinforced rubber in a broad frequency domain, How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity, Soft phononic crystals with deformation-independent band gaps, Nonlinear waves in solids with slow dynamics: an internal-variable model, Stability of flow through deformable channels and tubes: implications of consistent formulation, Kinematic quantities of finite elastic and plastic deformation, Umbrella spherical integration: a stable meshless method for non-linear solids, High-Fidelity Micromechanical Modeling of Continuously Reinforced Elastic Multiphase Materials Undergoing Finite Deformations, A Framework For Studying The RKEM Representation of Discrete Point Sets, A dual mortar approach for 3D finite deformation contact with consistent linearization, Finite deformation frictional mortar contact using a semi-smooth Newton method with consistent linearization, Aspects of interface elasticity theory, An exponential constitutive model excluding fibres under compression: Application to extension–inflation of a residually stressed carotid artery, A Locking-Free Face-Based S-FEM via Averaging Nodal Pressure using 4-Nodes Tetrahedrons for 3D Explicit Dynamics and Quasi-statics, Sequential Subspace Optimization for Recovering Stored Energy Functions in Hyperelastic Materials from Time-Dependent Data, Analysis of 3D problems using a new enhanced strain hexahedral element, On Variational Formulations in Nonlinear Magnetoelastostatics, Stability and the transition to turbulence in the flow through conduits with compliant walls, Braginskii magnetohydrodynamics for arbitrary magnetic topologies: coronal applications, Consistent formulations for stability of fluid flow through deformable channels and tubes, Magnetorheological Elastomer’s Material Modeling and Parameter Determination by Using the Energy-based Method, Nonlinear Elasticity for Mesh Deformation with High-Order Discontinuous Galerkin Methods for the Navier-Stokes Equations on Deforming Domains, A finite deformation mortar contact formulation using a primal-dual active set strategy, Numerical framework for patient-specific computational modelling of vascular tissue, EXAMPLES OF THE EFFECT OF GROWTH AND STRAIN ON TURING PATTERN FORMATION DYNAMICS, Constitutive models for compressible nonlinearly elastic materials with limiting chain extensibility, A simultaneous solution procedure for strong interactions of generalized Newtonian fluids and viscoelastic solids at large strains, Modeling Cardiac Mechanics on a Sub-Cellular Scale, Bifurcation analysis for shear localization in non-polar and micro-polar hypoplastic continua, CMMSE 2017 – a numerical method based on genetic algorithms for the characterization of viscoelastic materials