A continuum theory of elastic material surfaces

1975/12/01 by Morton E. Gurtin, A. Ian Murdoch · 52 citations
Engineering · Computer Science · #Adhesion, Friction, and Surface Interactions #Contact Mechanics and Variational Inequalities #Metal Forming Simulation Techniques

paper · doi:10.1007/bf00261375

Cited by

• Homogenization of Composites With Extended General Interfaces: Comprehensive Review and Unified Modeling
• Size-Dependent Effects and Surface Roughness in Contact Mechanics
• Mixed-Mode Loading of a Straight Crack With Surface Strain-Gradient Elasticity
• An hp-adaptive finite element framework for static cracks: The impact of pointwise density variations on mode I, mode II, and mixed-mode fracture
• Metric Implications in the Kinematics of Surfaces
• Learning interpretable surface elasticity properties from bulk properties
• Surface elasticity effect on Plateau-Rayleigh instability in soft solids
• The isogeometric boundary element algorithm for solving the plane strain problem of an elastic matrix containing an open material surface of arbitrary shape
• Error analysis of higher order trace finite element methods for the surface Stokes equations
• Size Effects on Mechanical Properties of Micro/Nano Structures
• The mechanical analysis of thermo-magneto-electric laminated composites in nanoscale with the consideration of surface and flexoelectric effects
• Displacements representations for the problems with spherical and\n circular material surfaces with surface tension
• Vesicles in magnetic fields
• Size-dependent Rigidities of Nanosized Torsional Elements
• Local Symmetry Group in the General Theory of Elastic Shells
• Breaking Scale Separation in Metamaterials' homogenization: Interface-Inertia-Enhanced Relaxed Micromorphic Model
• Recovering elastic subdomains with strain-gradient elastic interfaces from force measurements: the antiplane shear setting
• Perfect plasticity with damage and healing at small strains, its modelling, analysis, and computer implementation
• Nonlinear Strain-limiting Elasticity for Fracture Propagation with\n Phase-Field Approach
• An Analysis of Surface Relaxation in the Surface Cauchy--Born Model
• hp-adaptive finite element simulation of a static anti-plane shear crack in a nonlinear strain-limiting elastic solid
• A finite element method for two-phase flow with material viscous interface
• Phase-space dynamics of minimal Canham-Helfrich cells
• Band gaps for flexural elastic wave propagation in periodic composite plate structures based on a non-classical Mindlin plate model incorporating microstructure and surface energy effects
• Influence of surface integrity on geometry and dynamics of functionally\n graded nanobeams
• Computational Insights into Orthotropic Fracture: Crack-Tip Fields in Strain-Limiting Materials under Non-Uniform Loads
• An \textsfAT1 phase-field framework for quasi-static anti-plane shear fracture: Unifying ξ-based adaptivity and nonlinear strain energy density function
• Interaction of a screw dislocation with a nano-sized, arbitrarily shaped inhomogeneity with interface stresses under anti-plane deformations. [europepmc]
• Modelling the Size Effects on the Mechanical Properties of Micro/Nano Structures. [europepmc]
• Adhesion in hydrogel contacts. [europepmc]
• A non-classical Mindlin plate model incorporating microstructure, surface energy and foundation effects. [europepmc]
• A finite-element approach to evaluating the size effects of complex nanostructures. [europepmc]
• Modified Continuum Mechanics Modeling on Size-Dependent Properties of Piezoelectric Nanomaterials: A Review. [europepmc]
• Direct measurement of strain-dependent solid surface stress. [europepmc]
• Non-uniform Stress-free Strains in a Spherically Symmetrical Nano-sized Particle and Its Applications to Lithium-ion Batteries. [europepmc]
• Analytical Micromechanics Models for Elastoplastic Behavior of Long Fibrous Composites: A Critical Review and Comparative Study. [europepmc]
• Dynamic heterogeneity in complex interfaces of soft interface-dominated materials. [europepmc]
• One-Step Synthesis of Calcium Sulfate Hemihydrate Nanofibers from Calcite at Room Temperature. [europepmc]
• Strongly anisotropic surface elasticity and antiplane surface waves. [europepmc]
• Deformation analysis of lipid membranes subjected to general forms of intra-membrane viscous flow and interactions with an elliptical-cross-section substrate. [europepmc]
• Nonlinear dynamic stability of piezoelectric thermoelastic electromechanical resonators. [europepmc]
• Dynamic Behavior of Magnetically Affected Rod-Like Nanostructures with Multiple Defects via Nonlocal-Integral/Differential-Based Models. [europepmc]
• Wettability of semispherical droplets on layered elastic gradient soft substrates. [europepmc]
• Dynamics of Space-Fractional Euler-Bernoulli and Timoshenko Beams. [europepmc]
• Hygro-Thermal Vibrations of Porous FG Nano-Beams Based on Local/Nonlocal Stress Gradient Theory of Elasticity. [europepmc]
• Dynamic Response of Multilayered Polymer Functionally Graded Carbon Nanotube Reinforced Composite (FG-CNTRC) Nano-Beams in Hygro-Thermal Environment. [europepmc]
• Strain-Gradient Bar-Elastic Substrate Model with Surface-Energy Effect: Virtual-Force Approach. [europepmc]
• Deformation and Strength Parameters of a Composite Structure with a Thin Multilayer Ribbon-like Inclusion. [europepmc]
• Static and Free Vibration Analyses of Single-Walled Carbon Nanotube (SWCNT)-Substrate Medium Systems. [europepmc]
• Application of the Higher-Order Hamilton Approach to the Nonlinear Free Vibrations Analysis of Porous FG Nano-Beams in a Hygrothermal Environment Based on a Local/Nonlocal Stress Gradient Model of Elasticity. [europepmc]
• On the macroscopic elastic moduli of nanoporous materials with surface tensile and bending rigidity. [europepmc]
• Molecular Dynamics-Based Calibrated Micromechanics Model for Elastic Properties of Fullerene-PMMA Nanocomposites Incorporating Interface Stress. [europepmc]