A review of fracture in viscoelastic materials

Knauss, W. G.

doi:10.1007/s10704-015-0058-6

Cited by 107 publications

(67 citation statements)

References 107 publications

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“…Future efforts can therefore include the study of the mechanical behaviors of these types of materials, such as a tough ionic hydrogel, 40,56 showing a combination of viscoelasticity, damage, 18,38 and fracture. 19…”

Section: Resultsmentioning

confidence: 99%

Statistical Damage Mechanics of Polymer Networks

et al. 2018

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The macroscopic mechanical response of polymers can be traced down to the microscale physics of the network by using a statistical approach for the description of the configuration state of the polymer chains. In this paper we present a micromechanical model to capture the macroscopic behavior of polymers by tracking the evolution of a distribution function describing chain configurations, more specifically the statistics of the end-to-end distance on the network chains. Damage, manifested in the softening and hysteresis under cyclic loading, is accounted for through the scission of chains, whose occurrence is evaluated on the basis of the probability of failure, also settled in the configuration space. The proposed micromechanical model can easily accommodate also the mechanics of dynamic network with reversible cross-links, thereby providing a general and physics-based approach to the study of polymers and polymer-like materials.

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Section: Resultsmentioning

confidence: 99%

Statistical Damage Mechanics of Polymer Networks

et al. 2018

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“…Max Williams was instrumental that polymer studies were included in both, ICF and IJF. The subjects treated in the starting period of the application of fracture mechanics to polymer materials are well represented in the Battelle Institute Materials Science Colloquium in Kronberg in 1972 (14) and are more recently reviewed extensively by Knauss on the occasion of 50 years of IJF (15).…”

Section: Short Historical Review Of Fracture Studies Sample Testing Ismentioning

confidence: 99%

“…The time-dependent fracture of polymers has been reviewed repeatedly (88)(89)(90)(91). Without going into details, the pioneering work in the 1960s and 1970s of M. L. Williams, Barenblatt, Knauss and Müller, J. G. Williams and Marshall, and Schapery should be mentioned (14,15). These authors have extended Griffith's work to linearly viscoelastic materials.…”

Section: Viscoelastic Effectsmentioning

confidence: 99%

Polymer Fracture

Schmeling¹,

Williams²

2015

Encyclopedia of Polymer Science and Technology

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Fracture of polymers is defined as the stress‐biased material disintegration through the formation of new surface within a body. The essential molecular damage mechanisms leading to crack initiation followed by stable and/or unstable crack propagation are described; fracture phenomena are identified and quantified using different concepts of fracture mechanics (linear elastic, confined plasticity, essential work of fracture). Particular attention has been given to a discussion of toughness and time‐dependent strength in terms of molecular and material parameters (eg, composition, chain architecture, degree of entanglement, and molecular mobility) and of extrinsic variables (state of stress, rate of loading, environment). However, the important aspect of fatigue behavior is treated in an independent part in this Encyclopedia.

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“…The fracture of viscoelastic materials has been studied by many researchers and available works were reviewed by Bradley et al. and Knauss . However, the literatures of fracture analysis of thermo‐viscoelasticity were limited.…”

Section: Introductionmentioning

confidence: 99%

A Hamiltonian‐based analytical method for fracture analysis of linear thermo‐viscoelastic media

et al. 2017

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A Hamiltonian-based methodology is presented to study the fracture behaviors of the thermo-viscoelastic materials based on the Laplace transform. The governing equations and associated boundary conditions are rebuilt in a Hamiltonian form by using the symplectic mathematics in the frequency domain (s-domain). The fundamental unknown vector composed of both displacements and stresses variables is expanded in terms of the symplectic eigensolutions. The corresponding unknown coefficients of the symplectic series are determined from the outer boundary conditions. Thus, the main unknowns are obtained and transformed into the time domain (t-domain). The fracture parameters including stress intensity factors (SIFs) and J-integrals are derived simultaneously. Numerical examples as well as convergence studies are given and are found to be in good agreement with the ANSYS results. A parametric study of thermo-viscoelastic parameters is included also. Nomenclatureu i component of displacements σ ij , ε ij component of stresses and strains s ij , e ij component of deviatoric stresses and deviatoric strains α T coefficient of thermal expansion η coefficient of viscosity G shear modulus K bulk modulus υ Poisson's ratio (x 1 , x 2 ) Cartesian coordinates (r, θ ) Polar coordinates H Hamiltonian function q, p mutually dual vectors H Hamiltonian operator matrix μ eigenvalue of Hamiltonian matrix ψ (α) n , ψ (β) n eigensolution of α and β group K I , K II Mode I and II stress intensity factors J

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A review of fracture in viscoelastic materials

Cited by 107 publications

References 107 publications

Statistical Damage Mechanics of Polymer Networks

Statistical Damage Mechanics of Polymer Networks

Polymer Fracture

A Hamiltonian‐based analytical method for fracture analysis of linear thermo‐viscoelastic media

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