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Statistical Theory of Networks of Non-Gaussian Flexible Chains

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Simple presentation of network theory of rubber, with a discussion of other theories
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Elastic and Thermoelastic Properties of Rubber like Materials
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Effects of Molecular Structure on Physical Properties of Butyl Rubber.
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The statistical length of long-chain molecules
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The elasticity of a network of long-chain molecules.—III
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Stress-Strain Properties of Natural Rubber under Biaxial Strain
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A Theory of Large Elastic Deformation
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Theory of the Elastic Properties of Rubber
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Statistical Treatment of Imperfectly Flexible Chains
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Statistical Properties of Networks of Flexible Chains
inferredcites →https://doi.org/10.1063/1.1746626openalex-snapshot
Theory of the Increase in Rigidity of Rubber during Cure
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Statistical Theory of Rubber-Like Elasticity. IV. (Two-Dimensional Stretching)
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The Physics of Rubber Elasticity
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XXXI. On the problem of random vibrations, and of random flights in one, two, or three dimensions
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ON THE FREQUENCY DISTRIBUTION OF THE MEANS OF SAMPLES FROM A POPULATION HAVING ANY LAW OF FREQUENCY WITH FINITE MOMENTS, WITH SPECIAL REFERENCE TO PEARSON'S TYPE II
inferredcites →https://doi.org/10.1093/biomet/19.3-4.240openalex-snapshot
THE DISTRIBUTION OF MEANS FOR SAMPLES OF SIZE N DRAWN FROM A POPULATION IN WHICH THE VARIATE TAKES VALUES BETWEEN 0 AND 1, ALL SUCH VALUES BEING EQUALLY PROBABLE
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Large elastic deformations of isotropic materials IV. further developments of the general theory
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Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber
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Finite extension and torsion of cylinders
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Stochastic Problems in Physics and Astronomy
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Statistical Theory of Linear Polymers. I. Intramolecular Statistics
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Statistical Theory of Linear Polymers. IV. Effects of Hinderance for Internal Rotation
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Statistical Theory of Rubber-like Elasticity (The Network Structure)
inferredcites →https://doi.org/10.5254/1.3543214openalex-snapshot
Effects of Molecular Structure on Physical Properties of Butyl Rubber

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Strength, deformability, damage and fracture toughness of fibrous material networks: Application to fibrin clots
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Average-chain behavior of isotropic incompressible polymers obtained from macroscopic experimental data. A simple structure-based WYPiWYG model in Julia language
inferred← citeshttps://doi.org/10.1016/j.apm.2024.03.011openalex-snapshot
Elastic instabilities of soft laminates with stiffening behavior
inferred← citeshttps://doi.org/10.1016/j.cma.2022.115639openalex-snapshot
Ductile–brittle failure of amorphous glassy polymers: A phase-field approach
inferred← citeshttps://doi.org/10.1016/j.cma.2023.115982openalex-snapshot
A multiscale phase field fracture approach based on the non-affine microsphere model for rubber-like materials
inferred← citeshttps://doi.org/10.1016/j.cma.2025.118103openalex-snapshot
A chain stretch-based gradient-enhanced model for damage and fracture in elastomers
inferred← citeshttps://doi.org/10.1016/j.commatsci.2003.08.023openalex-snapshot
Modelling of safety glass for crash simulation
inferred← citeshttps://doi.org/10.1016/j.commatsci.2023.112609openalex-snapshot
A molecular-dynamics-based model for the rate- and crosslink-density-dependent deformation of silicone rubber
inferred← citeshttps://doi.org/10.1016/j.compositesa.2018.06.004openalex-snapshot
In situ shear-induced mercapto group-activated graphite nanoplatelets for fabricating mechanically strong and thermally conductive elastomer composites for thermal management applications
inferred← citeshttps://doi.org/10.1016/j.compstruc.2016.12.012openalex-snapshot
Numerical characterisation of uncured elastomers by a neural network based approach
inferred← citeshttps://doi.org/10.1016/j.eml.2019.100536openalex-snapshot
Capturing strain stiffening using Volume Controlled Cavity Expansion
inferred← citeshttps://doi.org/10.1016/j.eml.2023.101987openalex-snapshot
A critical examination of force–extension relationship for freely jointed chain model
inferred← citeshttps://doi.org/10.1016/j.eml.2026.102523openalex-snapshot
Rethinking failure in elastomeric polymer networks: A probabilistic view on progressive damage
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2020.107226openalex-snapshot
Peridynamic simulation of finite elastic deformation and rupture in polymers
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2014.02.022openalex-snapshot
Multiscale analysis of the electromechanical coupling in dielectric elastomers
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2023.105106openalex-snapshot
A gradient micromechanical model to explore flexoelectric copolymers via stochastic chain growth
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2024.105253openalex-snapshot
Effects of loading rate on void growth in amorphous glassy polymers
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2024.105307openalex-snapshot
Comparative analysis of nonlinear dynamic behaviors of hyperelastic curved structure modelled by different constitutive laws
inferred← citeshttps://doi.org/10.1016/j.eurpolymj.2007.07.023openalex-snapshot
Rubber network in elastomer nanocomposites
inferred← citeshttps://doi.org/10.1016/j.finel.2017.10.009openalex-snapshot
Developing a visco-hyperelastic material model for 3D finite deformation of elastomers
inferred← citeshttps://doi.org/10.1016/j.ijadhadh.2013.09.043openalex-snapshot
Development of a constitutive hyperelastic material law for numerical simulations of adhesive steel–glass connections using structural silicone
inferred← citeshttps://doi.org/10.1016/j.ijadhadh.2017.03.017openalex-snapshot
Assessment of hyperelastic material models for the application of adhesive point-fixings between glass and metal
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2008.06.009openalex-snapshot
Small longitudinal oscillations of a load on an incompressible, isotropic limited elastic spring
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2019.05.013openalex-snapshot
General solution procedures to compute the stored energy density of conservative solids directly from experimental data
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2020.103408openalex-snapshot
Microscopic and long-wave instabilities in 3D fiber composites with non-Gaussian hyperelastic phases
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2021.103486openalex-snapshot
On the central role of the invariant I2 in nonlinear elasticity
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2025.104352openalex-snapshot
Thermo-viscoelastic characterization and modeling of a high-temperature stretchable film for foldable electronics applications
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2022.107236openalex-snapshot
A physics-informed multi-agents model to predict thermo-oxidative/hydrolytic aging of elastomers
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2022.108094openalex-snapshot
A physically-based nonlocal strain gradient theory for crosslinked polymers
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2024.109472openalex-snapshot
A hyperelastic strain energy function for isotropic rubberlike materials
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2024.109800openalex-snapshot
A physics-based nonlocal theory for particle-reinforced polymer composites
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2025.109946openalex-snapshot
An improved Flory's statistical-mechanics model of chain-molecular for compressible polymers
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2025.110732openalex-snapshot
A network graph entropy-based general model for soft polymer networks
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2026.111366openalex-snapshot
A new physics-motivated constitutive model of hyperelastic polymer networks
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2006.10.007openalex-snapshot
On the radial oscillations of incompressible, isotropic, elastic and limited elastic thick-walled tubes
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2014.06.009openalex-snapshot
A comparison of limited-stretch models of rubber elasticity
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2024.104834openalex-snapshot
Micromechanical modelling of rubbery networks: The role of chain pre-stretch
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2025.105285openalex-snapshot
An I2-enhanced hyperelastic model to capture secondary strain-stiffening
inferred← citeshttps://doi.org/10.1016/j.ijplas.2010.03.007openalex-snapshot
A physically-based constitutive model for anisotropic damage in rubber-toughened glassy polymers during finite deformation
inferred← citeshttps://doi.org/10.1016/j.ijplas.2017.08.001openalex-snapshot
A finite strain thermodynamically-based constitutive framework coupling viscoelasticity and viscoplasticity with application to glassy polymers
inferred← citeshttps://doi.org/10.1016/j.ijplas.2020.102724openalex-snapshot
A physically-based thermo-mechanical model for stretch-induced crystallizable rubbers: Crystallization thermodynamics and chain-network crystallization anisotropy
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2005.06.026openalex-snapshot
Application of a new constitutive model for the description of rubber-like materials under monotonic loading
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2008.08.029openalex-snapshot
Finite viscoplasticity of amorphous glassy polymers in the logarithmic strain space
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2008.08.037openalex-snapshot
Heuristic search for a predictive strain-energy function in nonlinear elasticity
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2009.11.002openalex-snapshot
Anisotropy of direction-based constitutive models for rubber-like materials
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2011.01.030openalex-snapshot
Coupled thermoviscoplasticity of glassy polymers in the logarithmic strain space based on the free volume theory
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2013.10.027openalex-snapshot
A micro-mechanically based continuum model for strain-induced crystallization in natural rubber
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2016.10.013openalex-snapshot
Modelling and experiments of glassy polymers using biaxial loading and digital image correlation
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2018.12.014openalex-snapshot
Inverse Langevin-like function for statistical description of the polymer chain in orienting fields
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2019.01.030openalex-snapshot
Equivalent strain failure criterion for multiaxially loaded incompressible hyperelastic elastomers
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2019.06.023openalex-snapshot
Programming the equilibrium swelling response of heterogeneous polymeric gels
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2021.111071openalex-snapshot
A viscoelastic-viscoplastic constitutive model for glassy polymers informed by molecular dynamics simulations
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2025.113237openalex-snapshot
Nonlinear dynamic living polymeric gels constitutive model based on statistical-chain-based theory
inferred← citeshttps://doi.org/10.1016/j.jfranklin.2024.107375openalex-snapshot
The Shift from Phenomenological to Physics-Based Modeling of Polymers: 2024 Benjamin Franklin Medal in Mechanical Engineering presented to Mary C. Boyce, Ph.D.
inferred← citeshttps://doi.org/10.1016/j.jmbbm.2015.09.023openalex-snapshot
A nonlinear-elastic constitutive model for soft connective tissue based on a histologic description: Application to female pelvic soft tissue
inferred← citeshttps://doi.org/10.1016/j.jmps.2004.03.011openalex-snapshot
A micro-macro approach to rubber-like materials?Part I: the non-affine micro-sphere model of rubber elasticity
inferred← citeshttps://doi.org/10.1016/j.jmps.2004.10.006openalex-snapshot
Composite and filament models for the mechanical behaviour of elastomeric materials
inferred← citeshttps://doi.org/10.1016/j.jmps.2005.03.002openalex-snapshot
Remodeling of biological tissue: Mechanically induced reorientation of a transversely isotropic chain network
inferred← citeshttps://doi.org/10.1016/j.jmps.2005.04.011openalex-snapshot
Combining the logarithmic strain and the full-network model for a better understanding of the hyperelastic behavior of rubber-like materials
inferred← citeshttps://doi.org/10.1016/j.jmps.2005.10.003openalex-snapshot
Modeling morphology evolution and mechanical behavior during thermo-mechanical processing of semi-crystalline polymers
inferred← citeshttps://doi.org/10.1016/j.jmps.2011.05.005openalex-snapshot
A micromechanically motivated diffusion-based transient network model and its incorporation into finite rubber viscoelasticity
inferred← citeshttps://doi.org/10.1016/j.jmps.2011.10.005openalex-snapshot
A theory for large deformation and damage of interpenetrating polymer networks
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