A nonlocal damage field theory is proposed and a response model of nonlocal elastic damage is given. A simulating experiment using aluminum alloy plates with arrays of holes shows that the load bearing capacity of a plate varies with angle γ between array and loading direction. The characteristics and attenuation lengths appreciably affect the constitutive equations.

A nonlocal damage theory

In general, the microdefects in rocks obey Weibull distribution. Based on the laws of statistics of microdefects in rocks, the relationship between the damage and the strain is established...

Nonlinear Creep Model for Rocks Considering Damage Evolution Based on the Modified Nishihara Model

A new incremental creep theory of isotropic materials based on the three invariants of stress tensor is proposed. In order to evaluate the constants in the constitutive equations the basic experiments are formulated. Special creep relations that contain less constants and invariants are derived. The approach has been applied to the problem of creep of anisotropic materials with different behaviour in tension and compression.

Creep of Isotropic and Anisotropic Materials with Different Behaviour in Tension and Compression

In this paper, the problem of fracture initiation in an aluminum alloy thin plate containing a central crack is examined by employing several phenomenological continuum damage mechanics models. These models differ mainly in the selection of the kind of tensorial property the damage variable assumes, the nature of the equivalence postulate between damaged and pseudo undamaged material states, and the way damage evolution laws are formulated. Two formulations of damage effect tensor based on the engineering notation and the normative notation of stress and strain, respectively, are compared. In addition, the hypothesis of strain equivalence is compared to that of stress working equivalence. The error in the assumption of isotropic damage development in the crack tip process zone is also checked against that of anisotropic damage. In the numerical algorithm, both updated Lagrangian formulation and small displacement formulation of material non-linearity only are adopted and compared. The influence of non-proportionality in stress histories present in the crack tip region is accounted for by introducing a dynamic coordinate system of principal damage such that the principal direction of damage rotates in accordance with that of the loading. The calculated fracture initiation loads are finally compared with those determined experimentally.

A comparative study of continuum damage models for crack propagation under gross yielding

Es werden Effekte hoherer Ordnung beim isotropen Kriechen diskutiert — unterschiedliches Zug-/Druckverhalten, unabhangiges Verhalten bei Zug und Torsion, Einflus des hydrostatischen Drucks, Kompressibilitat und der Poynting-Swift-Effekt In Verbindung mit diesen Effekten werden experimentelle Untersuchungen und unterschiedliche theoretische Konzepte zur Formulierung von Konstitutivgleichungen analysiert Es wird gezeigt, das eine qualitative Beschreibung der komplizierten Effekte mit Hilfe von drei Spannungstensorinvarianten und 6 Parametern moglich ist Die Ermittlung dieser Parameter kann auf der Grundlage bestimmter Experimente erfolgen Fur Sonderfalle werden praktische Empfehlungen gegeben Abschliesend wird ein Vergleich zwischen theoretischen Ergebnissen und experimentellen Daten fur eine mehrachsige Beanspruchung gegeben Fur diesen Fall werden die notwendigen Materialparameter bestimmt

Zum Kriechen isotroper Werkstoffe mit komplizierten Eigenschaften

A unified approach to constitutive equations of inelasticity based on tensor function representations

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A unified approach to constitutive equations of inelasticity based on tensor function representations