Search Results - "Vitral, E."

Energies for Elastic Plates and Shells from Quadratic-Stretch Elasticity by Vitral, E., Hanna, J. A.

“…We derive stretching and bending energies for isotropic elastic plates and shells. Through the dimensional reduction of a bulk elastic energy quadratic in Biot…”
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Dilation-Invariant Bending of Elastic Plates, and Broken Symmetry in Shells by Vitral, E., Hanna, J. A.

“…We propose bending energies for isotropic elastic plates and shells. For a plate, we define and employ a surface tensor that symmetrically couples stretch and…”
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Further Results on Stretch Formulations of Simple Shear and Pure Torsion for Incompressible Isotropic Hyperelastic Materials by Horgan, C. O., Vitral, E.

“…In a recent paper by Vitral (2023), the author described new results on the Poynting effect in simple shear and pure torsion that can be derived from stretch…”
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Quadratic-stretch elasticity by Vitral, E., Hanna, J. A.

“…A nonlinear small-strain elastic theory is constructed from a systematic expansion in Biot strains, truncated at quadratic order. The primary motivation is the…”
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Numerical scheme for solving the nonuniformly forced cubic and quintic Swift–Hohenberg equations strictly respecting the Lyapunov functional by Coelho, D.L., Vitral, E., Pontes, J., Mangiavacchi, N.

“…Computational modeling of pattern formation in nonequilibrium systems is a fundamental tool for studying complex phenomena in biology, chemistry, materials and…”
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Nano-patterning of surfaces by ion sputtering: Numerical study of the anisotropic damped Kuramoto-Sivashinsky equation by Vitral, E., Walgraef, D., Pontes, J., Anjos, G.R., Mangiavacchi, N.

“…Nano-patterning of a surface presenting a preexisting atomic profile through ionic bombardment. The nonlinearities of the anisotropic damped…”
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Assorted remarks on bending measures and energies for plates and shells, and their invariance properties by Hanna, J. A, Vitral, E

“…In this note, we address several issues, including some raised in recent works and commentary, related to bending measures and energies for plates and shells,…”
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Energies for elastic plates and shells from quadratic-stretch elasticity by Vitral, E, Hanna, J. A

“…We derive stretching and bending energies for isotropic elastic plates and shells. Through the dimensional reduction of a bulk elastic energy quadratic in Biot…”
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Buckling mediated by mobile localized elastic excitations by Hutton, R. S, Vitral, E, Hamm, E, Hanna, J. A

“…Experiments reveal that structural transitions in thin sheets are mediated by the passage of transient and stable mobile localized elastic excitations. These…”
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Dilation-invariant bending of elastic plates, and broken symmetry in shells by Vitral, E, Hanna, J. A

“…We propose bending energies for isotropic elastic plates and shells. For a plate, we define and employ a surface tensor that symmetrically couples stretch and…”
Get full text

Quadratic-stretch elasticity by Vitral, E, Hanna, J. A

“…A nonlinear small-strain elastic theory is constructed from a systematic expansion in Biot strains, truncated at quadratic order. The primary motivation is the…”
Get full text

Numerical scheme for solving the nonuniformly forced cubic and quintic Swift-Hohenberg equations strictly respecting the Lyapunov functional by Coelho, D. L, Vitral, E, Pontes, J, Mangiavacchi, N

“…Computational modeling of pattern formation in nonequilibrium systems is a fundamental tool for studying complex phenomena in biology, chemistry, materials…”
Get full text

Nano-patterning of surfaces by ion sputtering: Numerical study of the anisotropic damped Kuramoto-Sivashinsky equation by Vitral, E, Walgraef, D, Pontes, J, Anjos, G. R, Mangiavacchi, N

“…Computational Materials Science, 146 (2018) 193-203 Nonlinear models for pattern evolution by ion beam sputtering on a material surface present an ongoing…”
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