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Elastic surface—substrate interactions
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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The Membrane Shell Model in Nonlinear Elasticity: A Variational Asymptotic Derivation
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On Geometrically Non-Linear Theories for Thin Elastic Shells
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A Mathematical Theory of the Mechanical Behavior of Continuous Media
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The Theory of Shells and Plates
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Surface Interaction Potentials in Elasticity
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The Theory of Shells and Plates
inferredcites →https://doi.org/10.1007/bf00040979openalex-snapshot
Symmetry considerations for materials of second grade
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Energy-minimizing deformations of elastic sheets with bending stiffness
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Configuration dependent pressure potentials
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Variational theory for spatial rods
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Symmetry considerations for material surfaces: Addendum
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Symmetry considerations for material surfaces
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The influence of the reference geometry on the response of elastic shells
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Wave propagation in thin elastic shells
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On the inclusion of the complete symmetry group in the unimodular group
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A continuum theory of elastic material surfaces
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On the response and symmetry of elastic and hyperelastic membrane points
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A mathematical theory of the mechanical behavior of continuous media
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Convexity conditions and existence theorems in nonlinear elasticity
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Quasiconvexity at the boundary, positivity of the second variation and elastic stability
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Large strain analysis of rubber-like membranes under dead weight, gas pressure, and hydrostatic loading
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A justification of nonlinear properly invariant plate theories
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Surface interaction potentials in elasticity
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Plane deformations of nets with bending stiffness
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The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
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Γ — Convergence and calculus of variations
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The symmetry group of second-grade materials
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Uniqueness criteria and extremum principles in self-adjoint problems of continuum mechanics
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Buckling of a coating bonded to a round bar subjected to axial extension
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Non-linear elastic deformations
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Non-linear elastic deformations
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On the Concept of Elastic Stability
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The Nonlinear Theory of Elastic Shells
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The Effect of Elastic Surface Coating on the Finite Deformation and Bifurcation of a Pressurized Circular Annulus
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Nonlinear Theory of Elastic Surfaces
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Simple Force Multipoles in the Theory of Deformable Surfaces
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Approximations par éléments finis d'un modèle de coques minces géométriquement exact
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Bending energy of highly elastic membranes
inferredcites →https://doi.org/10.1090/qam/1388018openalex-snapshot
Bending energy of highly elastic membranes. II
inferredcites →https://doi.org/10.1090/qam/147023openalex-snapshot
Nonlinear theories for thin shells
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General theory of elastic stability
inferredcites →https://doi.org/10.1090/s0002-9947-1965-0188838-3openalex-snapshot
Quasi-Convexity and Lower Semi-Continuity of Multiple Variational Integrals of Any Order
inferredcites →https://doi.org/10.1093/imamat/48.2.195openalex-snapshot
Equilibrium of prestressed networks
inferredcites →https://doi.org/10.1093/qjmam/45.1.57openalex-snapshot
ELASTIC SHEETS WITH BENDING STIFFNESS
inferredcites →https://doi.org/10.1098/rspa.1993.0135openalex-snapshot
Two-dimensional tensor function representation for all kinds of material symmetry
inferredcites →https://doi.org/10.1098/rspa.1997.0047openalex-snapshot
Plane deformations of elastic solids with intrinsic boundary elasticity
inferredcites →https://doi.org/10.1115/1.3171890openalex-snapshot
Proof of a Conjecture in Elastic Membrane Theory
inferredcites →https://doi.org/10.1115/1.3176096openalex-snapshot
Work-Conjugate Boundary Conditions in the Nonlinear Theory of Thin Shells
inferredcites →https://doi.org/10.1177/108128659700200101openalex-snapshot
A Necessary Condition for Energy-Minimizing Plane Deformations of Elastic Solids with Intrinsic Boundary Elasticity
inferredcites →https://doi.org/10.1177/108128659700200105openalex-snapshot
Plane Infinitesimal Waves in Elastic Sheets with Bending Stiffness
inferredcites →https://doi.org/10.1215/s0012-7094-39-00554-5openalex-snapshot
The Weierstrass condition for multiple integral variation problems
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Stress and Microstructure in Lpcvd Polycrystalline Silicon Films: Experimental Results and Closed Form Modeling of Stresses
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What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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A spherical Eshelby inclusion with a Steigmann-Ogden interface in a finite domain
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Local Symmetry Group in the General Theory of Elastic Shells
inferred← citeshttps://doi.org/10.1007/s10659-018-9694-1openalex-snapshot
An Adhesive Contact Problem for a Semi-plane with a Surface Elasticity in the Steigmann-Ogden Form
inferred← citeshttps://doi.org/10.1007/s10659-019-09726-yopenalex-snapshot
Material Symmetry of Elastic Shells
inferred← citeshttps://doi.org/10.1007/s10659-021-09840-wopenalex-snapshot
Existence of Weak Solutions for Non-Simple Elastic Surface Models
inferred← citeshttps://doi.org/10.1007/s10659-024-10052-1openalex-snapshot
Fiber-Reinforced Elastic Shells: A Direct Cosserat Approach
inferred← citeshttps://doi.org/10.1007/s10659-024-10073-wopenalex-snapshot
Elastic Solids with Strain-Gradient Elastic Boundary Surfaces
inferred← citeshttps://doi.org/10.1007/s10665-017-9905-yopenalex-snapshot
Equilibrium of elastic lattice shells
inferred← citeshttps://doi.org/10.1007/s10665-021-10192-6openalex-snapshot
Modeling nonlinear bending of axisymmetric circular nano-plates in framework of Ru’s surface stress elasticity theory
inferred← citeshttps://doi.org/10.1007/s10704-016-0160-4openalex-snapshot
Coherent energetic interfaces accounting for in-plane degradation
inferred← citeshttps://doi.org/10.1007/s10704-026-00912-3openalex-snapshot
Wrinkling–buckling interaction in a hyperelastic bilayer with interfacial delamination under compression: critical load analysis and comparison with approximate models
inferred← citeshttps://doi.org/10.1007/s10999-020-09507-9openalex-snapshot
Nanoindentation of a half-space due to a rigid cylindrical roller based on Steigmann–Ogden surface mechanical model
inferred← citeshttps://doi.org/10.1007/s10999-022-09622-9openalex-snapshot
On the sliding frictional nanocontact of an exponentially graded layer/substrate structure
inferred← citeshttps://doi.org/10.1007/s11012-013-9851-3openalex-snapshot
Equilibrium of a second-gradient fluid and an elastic solid with surface stresses
inferred← citeshttps://doi.org/10.1007/s11431-021-1822-0openalex-snapshot
Three-dimensionally nonlocal tensile nanobars incorporating surface effect: A self-consistent variational and well-posed model
inferred← citeshttps://doi.org/10.1007/s11433-022-2053-1openalex-snapshot
A spatiotemporally-nonlocal continuum field theory of polymer networks
inferred← citeshttps://doi.org/10.1016/b978-0-323-90646-3.00054-xopenalex-snapshot
Mechanics of Microstructured Composites
inferred← citeshttps://doi.org/10.1016/j.amc.2022.127364openalex-snapshot
On the competition between adhesive and surface effects in the nanocontact properties of an exponentially graded coating
inferred← citeshttps://doi.org/10.1016/j.aml.2016.05.006openalex-snapshot
Shape-dependent natural boundary condition of Lagrangian field
inferred← citeshttps://doi.org/10.1016/j.apm.2015.08.003openalex-snapshot
Elastic layer under axisymmetric surface loads and influence of surface stresses
inferred← citeshttps://doi.org/10.1016/j.apm.2017.10.028openalex-snapshot
Analytic solution for a circular nano-inhomogeneity with interface stretching and bending resistance in plane strain deformations
inferred← citeshttps://doi.org/10.1016/j.apm.2020.07.015openalex-snapshot
Isogeometric analysis for non-classical Bernoulli-Euler beam model incorporating microstructure and surface energy effects
inferred← citeshttps://doi.org/10.1016/j.apm.2020.09.034openalex-snapshot
Elastic response of surface-loaded half plane with influence of surface and couple stresses
inferred← citeshttps://doi.org/10.1016/j.apm.2021.05.015openalex-snapshot
On the stress analysis around a nanoinhomogeneity embedded in a half-space with the account of Steigmann–Ogden interface effects
inferred← citeshttps://doi.org/10.1016/j.apm.2021.12.013openalex-snapshot
Influence of surface and couple stresses on response of elastic substrate under tilted flat indenter
inferred← citeshttps://doi.org/10.1016/j.apm.2024.115698openalex-snapshot
Axisymmetric Hertzian contact problem accounting for surface tension and strain gradient elasticity
inferred← citeshttps://doi.org/10.1016/j.cam.2020.112949openalex-snapshot
A new B-spline collocation method for singular integro-differential equations of higher orders
inferred← citeshttps://doi.org/10.1016/j.cma.2014.02.022openalex-snapshot
General imperfect interfaces
inferred← citeshttps://doi.org/10.1016/j.cma.2016.12.025openalex-snapshot
Micro-to-macro transition accounting for general imperfect interfaces
inferred← citeshttps://doi.org/10.1016/j.cma.2019.03.010openalex-snapshot
Consistent discretization of higher-order interface models for thin layers and elastic material surfaces, enabled by isogeometric cut-cell methods
inferred← citeshttps://doi.org/10.1016/j.cma.2020.113579openalex-snapshot
Boundary viscoelasticity theory at finite deformations and computational implementation using isogeometric analysis
inferred← citeshttps://doi.org/10.1016/j.cma.2022.115649openalex-snapshot
Modeling curvature-resisting material surfaces with isogeometric analysis
inferred← citeshttps://doi.org/10.1016/j.cma.2023.115987openalex-snapshot
On the curvature dependence of gradient damage models: Control and opportunities
inferred← citeshttps://doi.org/10.1016/j.cma.2023.116192openalex-snapshot
A novel continuum mechanical framework for decoupled material behavior in thickness and in-plane directions
inferred← citeshttps://doi.org/10.1016/j.cma.2025.117925openalex-snapshot
On a canonical interface model with application to micro-heterogeneous elastic solids
inferred← citeshttps://doi.org/10.1016/j.cma.2025.118694openalex-snapshot
Upscaling elastic interphases to canonical interface models
inferred← citeshttps://doi.org/10.1016/j.commatsci.2012.06.006openalex-snapshot
Numerical modelling of thermomechanical solids with mechanically energetic (generalised) Kapitza interfaces
inferred← citeshttps://doi.org/10.1016/j.compscitech.2025.111352openalex-snapshot
Surface-effect-informed design strategy for nano-architected auxetic metamaterials: Simultaneous achievement of auxeticity and stiffness enhancement by structural anisotropy
inferred← citeshttps://doi.org/10.1016/j.compstruc.2026.108124openalex-snapshot
The isogeometric boundary element algorithm for solving the plane strain problem of an elastic matrix containing an open material surface of arbitrary shape
inferred← citeshttps://doi.org/10.1016/j.compstruct.2017.11.040openalex-snapshot
Band gaps for elastic wave propagation in a periodic composite beam structure incorporating microstructure and surface energy effects
inferred← citeshttps://doi.org/10.1016/j.compstruct.2025.119036openalex-snapshot
Strength and energy absorption characteristic of nanoparticle-reinforced composites considering interface curvature dependence
inferred← citeshttps://doi.org/10.1016/j.compstruct.2026.120316openalex-snapshot
Computational homogenization and localization for unidirectional piezoelectric nanocomposites with surface piezoelectricity
inferred← citeshttps://doi.org/10.1016/j.crme.2014.03.004openalex-snapshot
Determinations of both length scale and surface elastic parameters for fcc metals
inferred← citeshttps://doi.org/10.1016/j.eml.2018.07.003openalex-snapshot
The effect of surface bending and surface stress on the transmission of a vertical line force in soft materials
inferred← citeshttps://doi.org/10.1016/j.eml.2021.101226openalex-snapshot
Deep learning method for determining the surface elastic moduli of microstructured solids
inferred← citeshttps://doi.org/10.1016/j.eml.2021.101424openalex-snapshot
Energetics of cracks and defects in soft materials: The role of surface stress
inferred← citeshttps://doi.org/10.1016/j.eml.2022.101797openalex-snapshot
Plateau Rayleigh instability of soft elastic solids. Effect of compressibility on pre and post bifurcation behavior
inferred← citeshttps://doi.org/10.1016/j.enganabound.2021.04.004openalex-snapshot
Mechanical models and numerical simulations in nanomechanics: A review across the scales
inferred← citeshttps://doi.org/10.1016/j.enganabound.2023.06.030openalex-snapshot
Assessment of dynamic instability of thin nanoplates considering size and surface energy effects
inferred← citeshttps://doi.org/10.1016/j.enganabound.2024.03.022openalex-snapshot
Plane strain problem of an elastic matrix containing multiple Gurtin–Murdoch material surfaces along straight segments
inferred← citeshttps://doi.org/10.1016/j.enganabound.2025.106563openalex-snapshot
A Trefftz collocation method for multiple interacting cylindrical nanofibers with the Steigmann-Ogden interface model
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2019.106507openalex-snapshot
Elastic field at a rugous interface of a bimaterial with surface effects
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2021.108062openalex-snapshot
Effect of surface elasticity on transient elastic field around a mode-III crack-tip under impact loads
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2006.10.003openalex-snapshot
On the restrictions imposed by non-affine material symmetry groups for elastic rods: application to helical substructures
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2007.10.002openalex-snapshot
Elastic waves guided by a material interface
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2015.08.011openalex-snapshot
Phonon, Cauchy-Born and homogenized stability criteria for a free-standing monolayer graphene at the continuum level
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2016.01.005openalex-snapshot
Size dependent and micromechanical modeling of strain gradient-based nanoparticle composite plates with surface elasticity
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2022.104568openalex-snapshot
Elastic disk with isoperimetric Cosserat coating
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2022.104840openalex-snapshot
On the adhesive nanocontact of a graded coating
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2023.104965openalex-snapshot
Size-dependent effective shear modulus in a three-phase sphere model incorporating Steigmann-Ogden surface elasticity
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2023.104981openalex-snapshot
A novel constitutive model for surface elasticity at finite strains suitable across compressibility spectrum
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2023.105050openalex-snapshot
Hybrid homogenization theory with surface effects: Application to columnar nanoporous materials
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2024.105482openalex-snapshot
Understanding adhesive sliding nanocontact mechanics in an exponentially graded coating–substrate structure
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2025.105779openalex-snapshot
Modeling the mechanical behavior of coated masonry elements using surface stress theory
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2025.105846openalex-snapshot
Surface tension-induced unique phenomena for edge dislocations in a free-standing thin film
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2025.105907openalex-snapshot
Closed-form analysis of the surface energy effects in Body-centered cubic micro-/nanolattices
inferred← citeshttps://doi.org/10.1016/j.finel.2013.05.012openalex-snapshot
Finite element analysis of functionally graded nano-scale films
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2008.01.015openalex-snapshot
Two-dimensional models for the combined bending and stretching of plates and shells based on three-dimensional linear elasticity
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2009.07.007openalex-snapshot
The effects of surface tension on the elastic properties of nano structures
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2011.03.011openalex-snapshot
On the shell theory on the nanoscale with surface stresses
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2011.05.011openalex-snapshot
Hyperelastic large deformations of two-phase composites with membrane-type interface
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2011.09.012openalex-snapshot
Extension of Koiter’s linear shell theory to materials exhibiting arbitrary symmetry
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2014.02.010openalex-snapshot
Variational principles and size-dependent bounds for piezoelectric inhomogeneous materials with piezoelectric coherent imperfect interfaces
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2014.08.007openalex-snapshot
Curvature dependent surface energy for free standing monolayer graphene: Geometrical and material linearization with closed form solutions
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2018.04.009openalex-snapshot
Elastic behavior of a half-space with a Steigmann–Ogden boundary under nanoscale frictionless patch loads
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2019.01.009openalex-snapshot
Edge dislocation interacting with a Steigmann–Ogden interface incorporating residual tension
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2019.05.001openalex-snapshot
Maxwell’s methodology of estimating effective properties: Alive and well
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2019.103165openalex-snapshot
Effects of surface tension and Steigmann–Ogden surface elasticity on Hertzian contact properties
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2019.103173openalex-snapshot
Wave transmission across surface interfaces in lattice structures
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2019.103183openalex-snapshot
On stress singularity near the tip of a crack with surface stresses
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2020.103233openalex-snapshot
Interaction of edge dislocation array with bimaterial interface incorporating interface elasticity
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2020.103234openalex-snapshot
Effective elastic stiffness of 2D materials containing nanovoids of arbitrary shape
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2020.103399openalex-snapshot
Higher-order imperfect interface modeling via complex variables based asymptotic analysis
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2020.103428openalex-snapshot
On the influence of a surface roughness on propagation of anti-plane short-length localized waves in a medium with surface coating
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2021.103475openalex-snapshot
On the macroscopic strength criterion of ductile nanoporous materials
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2021.103593openalex-snapshot
The surface tension effect revealed via the indentation scaling index
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2022.103624openalex-snapshot
A nonlocal surface theory for surface–bulk interactions and its application to mechanics of nanobeams
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2022.103657openalex-snapshot
A compatible multiscale model for nanocomposites incorporating interface effect
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2022.103697openalex-snapshot
On modeling of elastic interface layers in particle composites
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2022.103809openalex-snapshot
Anti-plane shear waves in an elastic strip rigidly attached to an elastic half-space
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2023.103931openalex-snapshot
Discussion of the linearized version of the Steigmann-Ogden surface model in plane deformation and its application to inclusion problems
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