Suchergebnisse - "Energy minimization in equilibrium problems in solid mechanics"

Strong Existence for Free Discontinuity Problems in Linear Elasticity: Strong existence for free discontinuity problems in linear elasticity

Autoren: Manuel Friedrich Camille Labourie Kerrek Stinson

Quelle: SIAM Journal on Mathematical Analysis. 57:1652-1679

Schlagwörter: Variational methods for problems in mechanics, Linear elasticity with initial stresses, Griffith functional, Brittle fracture, Methods involving semicontinuity and convergence, relaxation, Ahlfors-regularity, linear elasticity, Analysis of PDEs, FOS: Mathematics, Energy minimization in equilibrium problems in solid mechanics, 49J45, 70G75, 74B10, 74G65, 74R10, free discontinuity problem, Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2402.09396

The Repulsion Property in Nonlinear Elasticity and a Numerical Scheme to Circumvent It: The repulsion property in nonlinear elasticity and a numerical scheme to circumvent it

Autoren: Negrón-Marrero, Pablo V. Sivaloganathan, Jeyabal

Quelle: SIAM Journal on Applied Mathematics. 84:1818-1844

Schlagwörter: Nonlinear elasticity, cavitating minimizer approximation, Numerical Analysis (math.NA), 74B20, 35J50, 49K20, 74G65, penalized energy functional, phase function, Lavrentiev phenomenon, Numerical and other methods in solid mechanics, Optimization and Control (math.OC), FOS: Mathematics, Energy minimization in equilibrium problems in solid mechanics, gamma convergence, Euler-Lagrange equations, Mathematics - Numerical Analysis, Mathematics - Optimization and Control

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2304.07390
https://zbmath.org/7919732
https://doi.org/10.1137/23m1583144

Specht Triangle Approximation of Large Bending Isometries: Specht triangle approximation of large bending isometries

Autoren: Li, Xiang Ming, Pingbing

Quelle: Annals of Applied Mathematics. 39:544-569

Schlagwörter: Finite element methods applied to problems in solid mechanics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, plate bending, Energy minimization in equilibrium problems in solid mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Newton-type methods, PDEs in connection with mechanics of deformable solids, Specht triangle, adaptive time-stepping gradient flow, isometry constraint

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A nonlocal energy‐informed neural network for isotropic elastic solids with cracks under thermomechanical loads: A nonlocal energy-informed neural network for isotropic elastic solids with cracks under thermomechanical loads

Autoren: Xiang‐Long Yu Xiao‐Ping Zhou

Quelle: International Journal for Numerical Methods in Engineering. 124:3935-3963

Schlagwörter: deep neural network, 0211 other engineering and technologies, displacement extrapolation method, 02 engineering and technology, peridynamic equilibrium equation, 01 natural sciences, virtual work principle, minimal potential energy, Thermal effects in solid mechanics, Numerical and other methods in solid mechanics, Brittle fracture, Classical linear elasticity, Peridynamics, static stress intensity factor, Energy minimization in equilibrium problems in solid mechanics, 0101 mathematics, Stress concentrations, singularities in solid mechanics, Artificial neural networks and deep learning

Dateibeschreibung: application/xml

On the torsional energy of torus knots under infinitesimal bending

Autoren: Maksimović Miroslav D. Rančić Svetozar R. Najdanović Marija S. et al.

Quelle: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 31, Iss 1, Pp 181-197 (2023)

Schlagwörter: infinitesimal bending, Curves in Euclidean and related spaces, torus knots, torsional energy, Invariants of knots and \(3\)-manifolds, Electromagnetic theory (general), QA1-939, Knots and links in the \(3\)-sphere, Energy minimization in equilibrium problems in solid mechanics, secondary 57m25, 57m27, 74g65, 78a25, variation, Global surface theory (convex surfaces à la A. D. Aleksandrov), primary 53a04, 53c45, Mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8036470
https://doi.org/10.2478/auom-2023-0009
https://doaj.org/article/7a81130b5c154e5fb767eb031f5928f0

A Γ-convergence result for optimal design problems: A \(\Gamma\)-convergence result for optimal design problems

Autoren: Zorgati, Hamdi

Quelle: Comptes Rendus. Mathématique, Vol 360, Iss G10, Pp 1145-1151 (2022)

Schlagwörter: Methods involving semicontinuity and convergence, relaxation, energy minimization, optimal material distribution, two-phase elastic mixture, 01 natural sciences, energy functional, lower semicontinuity, QA1-939, Energy minimization in equilibrium problems in solid mechanics, Optimization of other properties in solid mechanics, 0101 mathematics, PDEs in connection with mechanics of deformable solids, cross-quasiconvexity, Mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7600083
https://doi.org/10.5802/crmath.375
https://doaj.org/article/96cb6aaad258490194e5ba808cb6d466

Uniform concentration property for Griffith almost-minimizers

Autoren: Labourie, Camille Lemenant, Antoine

Quelle: Journal de Mathématiques Pures et Appliquées. 194:103667

Schlagwörter: Mathematics - Analysis of PDEs, Griffith functional, uniform concentration property, Methods involving semicontinuity and convergence, relaxation, Brittle fracture, Variational problems in a geometric measure-theoretic setting, 49J45, 49Q20, 74G65, 74R10, FOS: Mathematics, 49Q20, Energy minimization in equilibrium problems in solid mechanics, blow-up limits, free discontinuity problem, Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2312.03614
https://zbmath.org/7980670
https://doi.org/10.1016/j.matpur.2025.103667

Linearized von Kármán theory for incompressible magnetoelastic plates

Autoren: Marco Bresciani

Quelle: Mathematical Models and Methods in Applied Sciences. 31:1987-2037

Schlagwörter: Mathematics - Analysis of PDEs, Electromagnetic effects in solid mechanics, dimension reduction, magnetic saturation constraint, Energy minimization in equilibrium problems in solid mechanics, magnetoelastic energy minimization, Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics, gamma-convergence, 0101 mathematics, Plates, PDEs in connection with mechanics of deformable solids, 01 natural sciences, mixed Eulerian-Lagrangian variational problem

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/2007.14122
http://arxiv.org/abs/2007.14122
https://zbmath.org/7466893
https://doi.org/10.1142/s0218202521500445
https://www.worldscientific.com/doi/pdf/10.1142/S0218202521500445

Effect of Periodic Arrays of Defects on Lattice Energy Minimizers: Effect of periodic arrays of defects on lattice energy minimizers

Autoren: Bétermin, Laurent

Quelle: Ann Henri Poincare

Schlagwörter: Universal optimality, FOS: Physical sciences, 101002 Analysis, interaction potential, 01 natural sciences, Micromechanical theories, theta function, FOS: Mathematics, 103019 Mathematische Physik, 0101 mathematics, Mathematics - Optimization and Control, Mathematical Physics, 103019 Mathematical physics, Lattice energy, Original Paper, 4. Education, Kagome lattice, Mathematical Physics (math-ph), 74G65, universal optimality, Epstein zeta function, Ionic crystals, Optimization and Control (math.OC), substitutional defect, Energy minimization in equilibrium problems in solid mechanics, Defects, ionic crystal, Crystalline structure, Epstein zeta functions, Theta functions

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://link.springer.com/content/pdf/10.1007/s00023-021-01045-0.pdf
https://pubmed.ncbi.nlm.nih.gov/34720697
http://arxiv.org/abs/2008.00676
https://zbmath.org/7405133
https://doi.org/10.1007/s00023-021-01045-0
https://ucrisportal.univie.ac.at/de/publications/ad78ac63-424c-4d3d-b660-e15721d76a7d
https://doi.org/10.1007/s00023-021-01045-0
https://link.springer.com/article/10.1007/s00023-021-01045-0
https://link.springer.com/content/pdf/10.1007/s00023-021-01045-0.pdf
http://ui.adsabs.harvard.edu/abs/2020arXiv200800676B/abstract
https://arxiv.org/abs/2008.00676
https://arxiv.org/pdf/2008.00676.pdf
https://phaidra.univie.ac.at/o:1504480
https://hdl.handle.net/11353/10.1504480
https://doi.org/10.1007/s00023-021-01045-0

Image denoising by a novel variable‐order total fractional variation model: Image denoising by a novel variable-order total fractional variation model

Autoren: Fariba Kazemi Golbaghi M. R. Eslahchi Mansoor Rezghi

Quelle: Mathematical Methods in the Applied Sciences. 44:7250-7261

Schlagwörter: Inverse problems in equilibrium solid mechanics, image denoising, variational methods, variable-order fractional calculus, 02 engineering and technology, 01 natural sciences, Numerical mathematical programming methods, Fractional derivatives and integrals, split Bergman method, Image analysis in multivariate analysis, 0202 electrical engineering, electronic engineering, information engineering, Energy minimization in equilibrium problems in solid mechanics, Image processing (compression, reconstruction, etc.) in information and communication theory, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://ui.adsabs.harvard.edu/abs/2021MMAS...44.7250K/abstract
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.7257

A Naghdi Type Nonlinear Model for Shells with Little Regularity: A Naghdi type nonlinear model for shells with little regularity

Autoren: Matko Ljulj Josip Tambača

Quelle: Journal of Elasticity. 142:447-494

Schlagwörter: Cosserat model, Membranes, nonlinear elasticity, energy minimization, Naghdi's model, Flexural model, Nonlinear elasticity, Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics, 01 natural sciences, Shells, membrane model, Shell model, Membrane model, Gamma–convergence, Koiter model, Energy minimization in equilibrium problems in solid mechanics, gamma-convergence, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7305662
https://doi.org/10.1007/s10659-020-09802-8
https://link.springer.com/article/10.1007/s10659-020-09802-8
https://www.bib.irb.hr/1094849

Theories for incompressible rods: A rigorous derivation via Γ-convergence: Theories for incompressible rods: a rigorous derivation via \(\Gamma\)-convergence

Autoren: Engl, Dominik Kreisbeck, Carolin

Quelle: Asymptotic Analysis. 124:1-28

Schlagwörter: G-convergence, dimension reduction, Asymptotic behavior of solutions to PDEs, Nonlinear elasticity, Euler–Lagrange equations, PDE constrained optimization (numerical aspects), incompressibility, 01 natural sciences, Integro-partial differential equations, rods, Mathematics - Analysis of PDEs, Dimension reduction, FOS: Mathematics, Energy minimization in equilibrium problems in solid mechanics, Euler-Lagrange equations, Rods (beams, columns, shafts, arches, rings, etc.), 0101 mathematics, PDEs in connection with mechanics of deformable solids, \(\Gamma\)-convergence, 49J45, 74K10, Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2002.09886
https://research-portal.uu.nl/en/publications/8a7c1248-bdf4-413d-9517-006a12001f62
https://doi.org/10.3233/ASY-201636
https://content.iospress.com/articles/asymptotic-analysis/asy201636
https://edoc.ku.de/26809/

Minimal Soft Lattice Theta Functions: Minimal soft lattice theta functions

Autoren: Bétermin, Laurent

Quelle: Constructive Approximation. 52:115-138

Schlagwörter: defect, FOS: Physical sciences, 101002 Analysis, honeycomb lattice, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, crystal, RENORMALIZED ENERGY, CONJECTURE, HEIGHTS, Crystal, Micromechanical theories, generalized Jacobi transformation, FOS: Mathematics, minimal lattice energy, Mathematics - Optimization and Control, Mathematical Physics, Mathematical Physics (math-ph), SPHERE PACKING PROBLEM, 16. Peace & justice, 74G65, MODEL, COULOMB GASES, Optimization and Control (math.OC), Lattice energies, Energy minimization in equilibrium problems in solid mechanics, Defects, CRYSTALLIZATION, Crystalline structure, Theta functions, Calculus of variations

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://link.springer.com/content/pdf/10.1007/s00365-019-09494-x.pdf
http://arxiv.org/abs/1809.00473
https://zbmath.org/7227024
https://doi.org/10.1007/s00365-019-09494-x
https://ucrisportal.univie.ac.at/de/publications/fe3180c1-00d1-4958-8ff7-ab7b1c98920e
https://doi.org/10.1007/s00365-019-09494-x
https://link.springer.com/article/10.1007/s00365-019-09494-x
https://link.springer.com/content/pdf/10.1007/s00365-019-09494-x.pdf
https://ui.adsabs.harvard.edu/abs/2018arXiv180900473B/abstract
https://phaidra.univie.ac.at/o:2092874
https://hdl.handle.net/11353/10.2092874
https://doi.org/10.1007/s00365-019-09494-x

Gradient enhanced physics-informed neural network for iterative form-finding of tensile membrane structures by potential energy minimization

Autoren: Sounak Kabasi Allan L. Marbaniang Siddhartha Ghosh

Quelle: European Journal of Mechanics - A/Solids. 106:105332

Schlagwörter: anisotropic prestress, Membranes, machine learning, potential energy functional minimization, Finite element methods applied to problems in solid mechanics, finite element method, Energy minimization in equilibrium problems in solid mechanics, dynamic relaxation method, cable-supported membrane, Artificial neural networks and deep learning

Dateibeschreibung: application/xml

Variational approach for settlement analysis of circular plate on multilayered soil

Autoren: Suranga Gunerathne Hoyoung Seo William D. Lawson et al.

Quelle: Applied Mathematical Modelling. 70:152-170

Schlagwörter: differential settlement, Soil and rock mechanics, parametric analysis, 0211 other engineering and technologies, Energy minimization in equilibrium problems in solid mechanics, semi-analytical solution, 02 engineering and technology, 15. Life on land, Plates, variational method, 0201 civil engineering

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7186560
https://doi.org/10.1016/j.apm.2019.01.009
https://www.sciencedirect.com/science/article/pii/S0307904X19300265

Optimal and non-optimal lattices for non-completely monotone interaction potentials

Autoren: Laurent Bétermin Mircea Petrache

Quelle: Analysis and Mathematical Physics. 9:2033-2073

Schlagwörter: Laplace transform, FOS: Physical sciences, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, 01 natural sciences, Triangular lattice, 0103 physical sciences, theta function, FOS: Mathematics, Secondary 82B20, 0101 mathematics, Mathematics - Optimization and Control, Mathematical Physics, triangular lattice, completely monotone function, Lennard-Jones potential, Mathematical Physics (math-ph), Lennard-Jones potentials, Optimization and Control (math.OC), Completely monotone functions, 11F27, Lattice energies, Energy minimization in equilibrium problems in solid mechanics, Primary 74G65, Theta functions

Dateibeschreibung: application/xml

Zugangs-URL: https://arxiv.org/pdf/1806.02233.pdf
http://arxiv.org/abs/1806.02233
https://ui.adsabs.harvard.edu/abs/2019AnMP....9.2033B/abstract
https://link.springer.com/article/10.1007/s13324-019-00299-6

Optimal lattice configurations for interacting spatially extended particles

Autoren: Laurent Bétermin Hans Knüpfer

Quelle: Letters in Mathematical Physics

Schlagwörter: triangular lattice, calculus of variations, FOS: Physical sciences, Mathematical Physics (math-ph), Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, 01 natural sciences, lattice energy, crystal, Optimization and Control (math.OC), 0103 physical sciences, FOS: Mathematics, Energy minimization in equilibrium problems in solid mechanics, 0101 mathematics, Mathematics - Optimization and Control, Mathematical Physics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/1710.05581
http://arxiv.org/abs/1710.05581
https://zbmath.org/6945926
https://doi.org/10.1007/s11005-018-1077-9
https://arxiv.org/abs/1710.05581
https://arxiv.org/pdf/1710.05581.pdf
https://link.springer.com/article/10.1007/s11005-018-1077-9
http://ui.adsabs.harvard.edu/abs/2018LMaPh.108.2213B/abstract
https://link.springer.com/content/pdf/10.1007%2Fs11005-018-1077-9.pdf

Lattice ground states for embedded-atom models in 2D and 3D

Autoren: Bétermin, Laurent Friedrich, Manuel Stefanelli, Ulisse

Quelle: letters in mathematical physics 111 (2021): 107. doi:10.1007/s11005-021-01446-6
info:cnr-pdr/source/autori:L. Betermin, M. Friedrich, and U. Stefanelli/titolo:Lattice ground states for embedded-atom models in 2D and 3D/doi:10.1007%2Fs11005-021-01446-6/rivista:letters in mathematical physics/anno:2021/pagina_da:107/pagina_a:/intervallo_pagine:107/volume:111

Schlagwörter: 103019 Mathematical physics, FCC METALS, FOS: Physical sciences, 101002 Analysis, interaction potential, Mathematical Physics (math-ph), Molecular, statistical, and kinetic theories in solid mechanics, 01 natural sciences, Lattice energy minimization, Epstein zeta function, lattice energy minimization, 0103 physical sciences, embedded-atom two-body model, Energy minimization in equilibrium problems in solid mechanics, 103019 Mathematische Physik, Embedded-atom model, CRYSTALLIZATION, 0101 mathematics, 70G75, 74G65, 74N05, Mathematical Physics

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://link.springer.com/content/pdf/10.1007/s11005-021-01446-6.pdf
http://arxiv.org/abs/2101.05602
https://ucrisportal.univie.ac.at/de/publications/4601d7ed-6359-4619-b68c-4f5009e1e2f7
https://doi.org/10.1007/s11005-021-01446-6
https://link.springer.com/content/pdf/10.1007/s11005-021-01446-6.pdf
http://ui.adsabs.harvard.edu/abs/2021LMaPh.111..107B/abstract
https://link.springer.com/article/10.1007/s11005-021-01446-6
https://arxiv.org/abs/2101.05602
https://arxiv.org/pdf/2101.05602.pdf
https://ui.adsabs.harvard.edu/abs/2021arXiv210105602B/abstract
https://hdl.handle.net/20.500.14243/460698
https://doi.org/10.1007/s11005-021-01446-6
https://link.springer.com/article/10.1007/s11005-021-01446-6
https://phaidra.univie.ac.at/o:1561696
https://hdl.handle.net/11353/10.1561696
https://doi.org/10.1007/s11005-021-01446-6

A relaxation result in B V × L p for integral functionals depending on chemical composition and elastic strain: A relaxation result in \(BV \times L^p\) for integral functionals depending on chemical composition and elastic strain

Autoren: Carita, Graça ZAPPALE, ELVIRA

Quelle: Asymptotic Analysis. 100:1-20

Schlagwörter: relaxation, convexity-quasiconvexity, Thermal effects in solid mechanics, Methods involving semicontinuity and convergence, Nonlinear elasticity, Energy minimization in equilibrium problems in solid mechanics, Optimization of other properties in solid mechanics, 0101 mathematics, 01 natural sciences, relaxation, convexity-quasiconvexity

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://content.iospress.com:443/download/asymptotic-analysis/asy1383?id=asymptotic-analysis%2Fasy1383
https://content.iospress.com/articles/asymptotic-analysis/asy1383
https://hdl.handle.net/11573/1458147
https://doi.org/10.3233/ASY-161383

Optimality of the triangular lattice for Lennard–Jones type lattice energies: a computer-assisted method: Optimality of the triangular lattice for Lennard-Jones type lattice energies: a computer-assisted method

Autoren: Laurent Bétermin Institut Camille Jordan (ICJ) École Centrale de Lyon (ECL) et al.

Weitere Verfasser: Laurent Bétermin Institut Camille Jordan (ICJ) École Centrale de Lyon (ECL) et al.

Quelle: Journal of Physics A: Mathematical and Theoretical. 56:145204

Schlagwörter: crystallization, Ground state, FOS: Physical sciences, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, 01 natural sciences, Triangular lattice, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], 0103 physical sciences, FOS: Mathematics, ground state, [MATH]Mathematics [math], 0101 mathematics, Mathematics - Optimization and Control, Mathematical Physics, triangular lattice, 74G65, 82B20, 52C15, Lennard-Jones potential, Lattices, Computational molecular dynamics in statistical mechanics, Mathematical Physics (math-ph), Epstein zeta function, lattices, Optimization and Control (math.OC), Energy minimization in equilibrium problems in solid mechanics, Crystallization, Statistical mechanics of crystals

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2104.09795
https://zbmath.org/7667198
https://doi.org/10.1088/1751-8121/acc21d