Numerical Studies of Fast Crack Growth in Elastic-Plastic Solids

Siegmund, Thomas; Needleman, A.

doi:10.1007/978-94-011-5642-4_20

Cited by 2 publications

(1 citation statement)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In order to incorporate failure mechanisms into a model, the cohesive zone concept has been employed. In this approach, a number of cohesive zone models (CZMs; Allen and Searcy, 2001;Helms et al, 1999;Needleman, 1990;Nguyen et al, 2001;Roe and Siegmund, 2003;Siegmund and Needleman, 1997) have been proposed to simulate the crack growth process under both monotonic or fatigue loading conditions. For example, Allen and Searcy (2001) and Helms et al (1999) developed a micromechanical CZM in which the grain boundary (GB) is simulated as an assembly of parallel fibrils bridging the cohesive crack path interface.…”

Section: Introductionmentioning

confidence: 99%

A damage-based cohesive zone model of intergranular crack growth in a nickel-based superalloy

Sun

Maciejewski

Ghonem

2012

International Journal of Damage Mechanics

View full text Add to dashboard Cite

A cohesive zone model is utilized to simulate grain boundary interface decohesion under load reversals with hold time being imposed at the maximum load level. This study considers the role of creep-fatigue and environment, which have been introduced as scalar damage parameters. These parameters are coupled with the traction-displacement laws governing the grain boundary cohesion and surrounding time-dependent deformation field. The accumulation of reversible fatigue damage is described using a damage rate law as a function of the elastic potential energy of the interface while creep damage is introduced using a modified Kachanov-Rabotnov type law. The role of environment is modeled by considering the grain boundary dynamic embrittlement occurring as a consequence of oxygen diffusion and accumulation in the grain boundary fracture path. The separation of damage laws into creep, fatigue, and environment, allows the examination of the influence of the different mechanisms on the intergranular crack growth rate. Theoretical aspects of the model are discussed and finite element simulations of intergranular crack growth are performed on a nickel-based superalloy, IN100, at 700 C to illustrate the main features of the model and its comparison with the experimental data.

show abstract

Section: Introductionmentioning

confidence: 99%

A damage-based cohesive zone model of intergranular crack growth in a nickel-based superalloy

Sun

Maciejewski

Ghonem

2012

International Journal of Damage Mechanics

View full text Add to dashboard Cite

show abstract

Numerical modeling of crack growth under dynamic loading conditions

Needleman

1997

Computational Mechanics

Self Cite

View full text Add to dashboard Cite

A framework for modeling crack growth is described that is based on introducing one or more cohesive surfaces into a continuum. Constitutive relations are speci®ed independently for the material and for the cohesive surfaces. Fracture emerges as a natural outcome of the deformation process, without introducing an additional failure criterion. The characterization of the mechanical response of a cohesive surface involves both an interfacial strength and the work of separation per unit area, which introduces a characteristic length into the formulation. Finite element analyses are carried out for a plane strain block with an initial central crack, subject to impact loading. The crack is constrained to grow along the initial crack line. Numerical results are presented for elastic and elastic-viscoplastic solids using various degrees of mesh re®nement.

show abstract

Numerical Studies of Fast Crack Growth in Elastic-Plastic Solids

Cited by 2 publications

References 16 publications

A damage-based cohesive zone model of intergranular crack growth in a nickel-based superalloy

A damage-based cohesive zone model of intergranular crack growth in a nickel-based superalloy

Numerical modeling of crack growth under dynamic loading conditions

Contact Info

Product

Resources

About