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Multiphase thermomechanics with interfacial structure
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Metastability and Incompletely Posed Problems
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The Stability and Metastability of Quartz
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The Classical Field Theories
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The Non-Linear Field Theories of Mechanics
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Multiphase Thermomechanics with Interfacial Structure 1. Heat Conduction and the Capillary Balance Law
inferredcites →https://doi.org/10.1007/978-3-642-65817-4_1openalex-snapshot
A Mathematical Theory of the Mechanical Behavior of Continuous Media
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La Mécanique Classique, Basée sur un Axiome d’Objectivité
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Phase Transformations and Non-Elliptic Free Energy Functions
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On the dissipation associated with equilibrium shocks in finite elasticity
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Variational methods for elastic crystals
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Toward a nonequilibrium thermodynamics of two-phase materials
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Two-phase deformations of elastic solids
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Bifurcation to homoclinic orbits and to periodic solutions for non-autonomous three-dimensional systems
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Equilibrium configurations of crystals
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inferredcites →https://doi.org/10.1007/bf00261375openalex-snapshot
A continuum theory of elastic material surfaces
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Interfacial energy and the Maxwell rule
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A mathematical theory of the mechanical behavior of continuous media
inferredcites →https://doi.org/10.1007/bf00281246openalex-snapshot
Fine phase mixtures as minimizers of energy
inferredcites →https://doi.org/10.1007/bf00281354openalex-snapshot
Multiphase thermomechanics with interfacial structure 1. Heat conduction and the capillary balance law
inferredcites →https://doi.org/10.1007/bf00393269openalex-snapshot
A mechanical theory for crystallization of a rigid solid in a liquid melt; melting-freezing waves
inferredcites →https://doi.org/10.1007/bf01041068openalex-snapshot
Multiphase thermomechanics with interfacial structure 2. Evolution of an isothermal interface
inferredcites →https://doi.org/10.1016/0001-6160(73)90021-7openalex-snapshot
A linear theory of thermochemical equilibrium of solids under stress
inferredcites →https://doi.org/10.1016/0001-6160(78)90067-6openalex-snapshot
Thermochemical equilibrium of multiphase solids under stress
inferredcites →https://doi.org/10.1016/0001-6160(80)90002-4openalex-snapshot
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inferredcites →https://doi.org/10.1016/0001-6160(82)90043-8openalex-snapshot
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Displacive phase transformations in solids
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A vector thermodynamics for anisotropic surfaces II. Curved and faceted surfaces
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A vector thermodynamics for anisotropic surfaces
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MORPHOLOGICAL INSTABILITIES DURING PHASE TRANSFORMATIONS
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Special Topics in Elastostatics
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An Introduction to Continuum Mechanics
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inferredcites →https://doi.org/10.1063/1.336982openalex-snapshot
Interfacial conditions for thermomechanical equilibrium in two-phase crystals
inferredcites →https://doi.org/10.1090/qam/1031691openalex-snapshot
A transport theorem for moving interfaces
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A THERMODYNAMICAL THEORY OF ELASTIC MATERIAL INTERFACES
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Instabilities and pattern formation in crystal growth
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An Introduction to Continuum Mechanics
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Unstable Elastic Materials and the Viscoelastic Response of Bars in Tension
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A Hyperbolic Theory for the Evolution of Plane Curves
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inferredcites →https://doi.org/10.2475/ajs.s3-16.96.441openalex-snapshot
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The heat equation shrinks embedded plane curves to round points
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Evolution of Nonparametric Surfaces with Speed Depending on Curvature, III. Some Remarks on Mean Curvature and Anisotropic flows
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Evolving Phase Boundaries in the Presence of Deformation and Surface Stress
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The Crystalline Algorithm for Computing Motion by Curvature
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A Computation of a Crystalline Flow Starting from Non-admissible Polygon Using Expanding Selfsimilar Solutions
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Introduction: Fifty Years of Research on Evolving Phase Interfaces
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Multiphase Thermomechanics with Interfacial Structure 1. Heat Conduction and the Capillary Balance Law
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Nucleation and growth of deformation twins
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Phase transitions with interfacial energy: convexity conditions and the existence of minimizers
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Linear co-volume scheme for anisotropic curvature driven motions
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Phase Transitions with Interfacial Energy: Interface Null Lagrangians, Polyconvexity, and Existence
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Equilibrium of Phases with Interfacial Energy: A Variational Approach
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Computational Thermomechanics with Boundary Structures
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Configurational Forces as Basic Concepts of Continuum Physics
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Martensitic phase transitions with surface effects
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A mechanical theory for crystallization of a rigid solid in a liquid melt; melting-freezing waves
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Continuum mechanical aspects of phase transformations in solids
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Multiphase thermomechanics with interfacial structure 2. Evolution of an isothermal interface
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Stability of a two-phase process involving a planar phase boundary in a thermoelastic solid
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Nonequilibrium thermodynamics of pseudoelasticity
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Energy release, friction, and supplemental relations at phase interfaces
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Balance relations for classical mixtures containing a moving non-material surface with application to phase transitions
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A one-dimensional model for incoherent phase changes
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The dynamics of solid-solid phase transitions 2. Incoherent interfaces
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Evolution of roughness on the surface of a strained elastic material due to stress-driven surface diffusion
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Configurational forces in continua with microstructure
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A variational formulation of anisotropic geometric evolution equations in higher dimensions
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Equilibrium Shapes for Planar Crystals in an External Field
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Existence of Dendritic Crystal Growth with Stochastic Perturbations
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Thermomechanics of solids with general imperfect coherent interfaces
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Evolution of elastic thin films with curvature regularization via minimizing movements
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Continuum theory of thermally induced phase transitions based on an order parameter
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Mechanics of Material Mutations
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Micro-to-macro transition accounting for general imperfect interfaces
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Pore-scale model of freezing inception in a porous medium
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Numerical modelling of thermomechanical solids with mechanically energetic (generalised) Kapitza interfaces
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On the sensitivity of the rate of global energy dissipation due to configurational changes
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Gradient of mechanical properties in polymer nanocomposites: From atomistic scale to the strain gradient effective continuum
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An adhesive Gurtin-Murdoch surface hydrodynamics theory of moving contact line and modeling of droplet wettability on soft substrates
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Multidimensional stability of martensite twins under regular kinetics
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Interfacial energy and dissipation in martensitic phase transformations. Part I: Theory
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Mechanical modeling of growth considering domain variation—Part II: Volumetric and surface growth involving Eshelby tensors
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Geometrically nonlinear continuum thermomechanics with surface energies coupled to diffusion
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Micro-to-macro transitions for heterogeneous material layers accounting for in-plane stretch
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On the mechanics of continua with boundary energies and growing surfaces
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Geometrically nonlinear higher-gradient elasticity with energetic boundaries
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A curvature-dependent interfacial energy-based interface stress theory and its applications to nano-structured materials: (I) General theory
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Phase field approach to martensitic phase transformations with large strains and interface stresses
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Phase field approach with anisotropic interface energy and interface stresses: Large strain formulation
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Finite-deformation phase-field chemomechanics for multiphase, multicomponent solids
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Substrate elasticity and surface tension mediate the spontaneous rotation of active chiral droplet on soft substrates
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A generalized anisotropic damage interface model for finite strains
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Periodic total variation flow of non-divergence type in R n
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Evolution of convex closed curves under the generalized gradient flow of anisoperimetric ratio
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On the role of surface energy and surface stress in phase-transforming nanoparticles
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Kinetic equations and level-set approach for simulating solid-state microstructure evolutions at the mesoscopic scale: State of the art, limitations, and prospects
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The energy of a growing elastic surface
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Kinetics of phase boundaries with edges and junctions in a three-dimensional multi-phase body
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The role of the configurational force balance in the nonequilibrium epitaxy of films
inferred← citeshttps://doi.org/10.1016/s0022-5096(03)00091-7openalex-snapshot
Chemically induced swelling of hydrogels
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Configurational forces and a constitutive theory for crack propagation that allows for kinking and curving
inferred← citeshttps://doi.org/10.1016/s0022-5096(98)00008-8openalex-snapshot
Kinetics of phase boundaries with edges andjunctions
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Pulse attenuation by kinetically active phase boundary scattering during displacive phase transformations
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Multifield theories in mechanics of solids
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A Unified Treatment of Evolving Interfaces Accounting for Small Deformations and Atomic Transport with Emphasis on Grain-Boundaries and Epitaxy
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Sharp-interface and phase-field theories of recrystallization in the plane
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Force theory for multiphase bodies
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Edge effects on the propagation of phase boundaries
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Dynamical equations for the contact line of an evaporating or condensing sessile drop
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Transport relations for surface integrals arising in the formulation of balance laws for evolving fluid interfaces
inferred← citeshttps://doi.org/10.1017/s002211200600067xopenalex-snapshot
Rayleigh–Taylor problem for a liquid–liquid phase interface
inferred← citeshttps://doi.org/10.1017/s0022112007005587openalex-snapshot
General dynamical sharp-interface conditions for phase transformations in viscous heat-conducting fluids
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A numerical scheme for moving boundary problems that are gradient flows for the area functional
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Coherent Solid-State Phase Transitions with Atomic Diffusion: A Thermomechanical Treatment
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Configurational Forces and the Dynamics of Planar Cracks in Three-Dimensional Bodies
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A Continuum Theory of Multispecies Thin Solid Film Growth by Chemical Vapor Deposition
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Modeling of elasto-capillary phenomena
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A phase-field approach to nonequilibrium phase transformations in elastic solids via an intermediate phase (melt) allowing for interface stresses
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Discrete anisotropic curvature flow of graphs
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Comparative Study of a Solid Film Dewetting in an Attractive Substrate Potentials with the Exponential and the Algebraic Decay
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On phase transformations and intelligent behavior of ferroelectric crystals
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A transport theorem for moving interfaces
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On nonmaterial surfaces with structure
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Thermomechanics and the formulation of the Stefan problem for fully faceted interfaces
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The Stefan Problem with Small Surface Tension
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Some mathematical challenges in materials science
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The continuum mechanics of coherent two-phase elastic solids with mass transport
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Thermodynamics of porous media
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The influence of inertia on configurational forces in a deformable solid
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On multiscale moving contact line theory
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Proposed experimental tests of a theory of fine microstructure and the two-well problem
inferred← citeshttps://doi.org/10.1098/rsta.1993.0127openalex-snapshot
A micromechanical investigation of interfacial transport processes. I. Interfacial conservation equations
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Comparison of Johnson-Mehl-Avrami-Kologoromov kinetics with a phase-field model for microstructural evolution driven by substructure energy
inferred← citeshttps://doi.org/10.1103/physrevb.92.144106openalex-snapshot
Thermodynamically consistent phase field theory of phase transformations with anisotropic interface energies and stresses
inferred← citeshttps://doi.org/10.1103/physreve.73.061601openalex-snapshot
Theory for solvent, momentum, and energy transfer between a surfactant solution and a vapor atmosphere
inferred← citeshttps://doi.org/10.1115/1.4023012openalex-snapshot
Thermomechanics of Solids With Lower-Dimensional Energetics: On the Importance of Surface, Interface, and Curve Structures at the Nanoscale. A Unifying Review
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Surface Growth as an Evolutionary Process in Laboratory Space: Two Ambient Spaces Framework
inferred← citeshttps://doi.org/10.1137/0331021openalex-snapshot
Front Propagation and Phase Field Theory
inferred← citeshttps://doi.org/10.1137/050632890openalex-snapshot
On the Relationship between Supplemental Balances in Two Theories for Pure Interface Motion
inferred← citeshttps://doi.org/10.1137/0522036openalex-snapshot
A Hyperbolic Theory for the Evolution of Plane Curves
inferred← citeshttps://doi.org/10.1137/06065355xopenalex-snapshot
A Step‐Flow Model for the Heteroepitaxial Growth of Strained, Substitutional, Binary Alloy Films with Phase Segregation: I. Theory
inferred← citeshttps://doi.org/10.1137/060678166openalex-snapshot
A Level Set Approach to Anisotropic Surface Evolution with Free Adatoms
inferred← citeshttps://doi.org/10.1137/070700632openalex-snapshot
Stability of Equilibria for the Stefan Problem With Surface Tension
inferred← citeshttps://doi.org/10.1137/0732041openalex-snapshot
Convergence of a Crystalline Algorithm for the Motion of a Simple Closed Convex Curve by Weighted Curvature
inferred← citeshttps://doi.org/10.1137/s0036139900369102openalex-snapshot
Phase Field Equations with Memory: The Hyperbolic Case
inferred← citeshttps://doi.org/10.1137/s0036139901384662openalex-snapshot
A Level Set Method for Anisotropic Geometric Diffusion in 3D Image Processing
inferred← citeshttps://doi.org/10.1137/s0036139998334895openalex-snapshot
A MultiPhase Field Concept: Numerical Simulations of Moving Phase Boundaries and Multiple Junctions
inferred← citeshttps://doi.org/10.1137/s0036141097317347openalex-snapshot
Regularity and Convergence of Crystalline Motion
inferred← citeshttps://doi.org/10.1137/s0036142998337533openalex-snapshot
Discrete Anisotropic Curve Shortening Flow
inferred← citeshttps://doi.org/10.1177/108128650100600203openalex-snapshot
An Analysis of 3D Crack Propagation using Cohesive Zone Models and the Theory of Configurational Forces
inferred← citeshttps://doi.org/10.1177/1081286507087316openalex-snapshot
Surface Transport in Continuum Mechanics
inferred← citeshttps://doi.org/10.1177/1081286513485776openalex-snapshot
On the mechanics of thin films and growing surfaces
inferred← citeshttps://doi.org/10.1177/1081286515597056openalex-snapshot
Continuous bodies with thermodynamically active singular sharp interfaces
inferred← citeshttps://doi.org/10.1177/1081286517699041openalex-snapshot
Aspects of interface elasticity theory
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