Likely cavitation and radial motion of stochastic elastic spheres
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Publication:5112202
DOI10.1088/1361-6544/ab7104zbMath1434.74025arXiv1906.10514OpenAlexW3011612832MaRDI QIDQ5112202
Thomas E. Woolley, L. Angela Mihai, Alain Goriely
Publication date: 28 May 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.10514
oscillationscavitationprobabilitiesfinite strain analysisquasi-equilibrated motionstochastic elasticity
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Robust optimal control of stochastic hyperelastic materials ⋮ Likely striping in stochastic nematic elastomers
Cites Work
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- A Mathematical Theory of Communication
- The distribution of the sum of independent gamma random variables
- The mathematics and mechanics of biological growth
- Uncertainty quantification. An accelerated course with advanced applications in computational engineering
- Dynamics and destruction of internally pressurized incompressible hyper-elastic spherical shells
- Stability and asymmetric vibrations of pressurized compressible hyperelastic cylindrical shells
- Cavitation in nonlinear elastodynamics for neo-Hookean materials
- Void nucleation and growth for a class of incompressible nonlinearly elastic materials
- The dynamical behaviour of nonlinear elastic spherical shells
- An interpretation of Baker-Ericksen inequalities in uniaxial deformation and stress
- Radial oscillations of nonhomogeneous, thick-walled cylindrical and spherical shells subjected to finite deformations
- Finite amplitude oscillations of a hyperelastic spherical cavity
- Free-energy density functions for nematic elastomers
- Stochastic modeling and identification of a hyperelastic constitutive model for laminated composites
- Likely cavitation in stochastic elasticity
- Nonlinear breathing motions and instabilities of a pressure-loaded spherical hyperelastic membrane
- A random field model for anisotropic strain energy functions and its application for uncertainty quantification in vascular mechanics
- Finite dynamic deformations of an incompressible elastic medium containing a spherical cavity
- Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators
- Solutio généralis et accurata problematum quamplurimorum de motu corporum elasticorum incomprimibilium in déformationibus valde magnis
- Stability and vibrations of elastic thick-walled cylindrical and spherical shells subjected to pressure
- Small amplitude radial oscillations of an incompressible, isotropic elastic spherical shell
- Handbook of Uncertainty Quantification
- Introduction to Uncertainty Quantification
- Information Theory and Statistical Mechanics
- Large amplitude oscillations of a tube of incompressible elastic material
- Cavity Formation at the Center of a Composite Incompressible Nonlinearly Elastic Sphere
- Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
- Axioms of symmetry: Throwing darts at the real number line
- On a Class of Oscillations in the Finite-Deformation Theory of Elasticity
- Cavitation, the incompressible limit, and material inhomogeneity
- Probability Theory
- Stochastic isotropic hyperelastic materials: constitutive calibration and model selection
- The inflation of viscoelastic balloons and hollow viscera
- How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity
- LII. An essay towards solving a problem in the doctrine of chances. By the late Rev. Mr. Bayes, F. R. S. communicated by Mr. Price, in a letter to John Canton, A. M. F. R. S
- Likely oscillatory motions of stochastic hyperelastic solids
- Adaptive multiscale predictive modelling
- Likely equilibria of the stochastic Rivlin cube
- Likely equilibria of stochastic hyperelastic spherical shells and tubes
- The Bayesian Choice
- Microstructural Randomness and Scaling in Mechanics of Materials
- Stochastic modeling of the Ogden class of stored energy functions for hyperelastic materials: the compressible case
