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Modeling and analysis of inelastic f...
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Nguyen, Thao D.
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Modeling and analysis of inelastic fracture.
Record Type:
Electronic resources : Monograph/item
Title/Author:
Modeling and analysis of inelastic fracture./
Author:
Nguyen, Thao D.
Description:
118 p.
Notes:
Source: Dissertation Abstracts International, Volume: 65-04, Section: B, page: 1945.
Contained By:
Dissertation Abstracts International65-04B.
Subject:
Applied Mechanics. -
Online resource:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3128446
ISBN:
0496757083
Modeling and analysis of inelastic fracture.
Nguyen, Thao D.
Modeling and analysis of inelastic fracture.
- 118 p.
Source: Dissertation Abstracts International, Volume: 65-04, Section: B, page: 1945.
Thesis (Ph.D.)--Stanford University, 2004.
This dissertation describes the development of computational tools for the modeling and analysis of inelastic fracture. To study the effects of rate-dependent material processes on dynamic fracture, a cohesive continuum model, viscoelastic Virtual Internal Bond (VE-VIB), is developed from the average response of a relaxing network of cohesive interactions. For fracture applications, the viscous response is made to weaken with deformation, and a cohesive force law is introduced for the behavior of the network bonds. The choice of viscosity function and bond potentials provides VE-VIB with two failure mechanisms, elastic bond breaking and viscous weakening, that combine to induce rate-dependence in the cohesive strength, fracture energy, and local limiting speed of crack propagation. The VE-VIB model is applied to study rate-dependent phenomena in dynamic fracture. Results display rate-dependent terminal speeds that correspond to the cohesive strength and not to the local driving force; thus supporting the local limiting speed hypothesis.
ISBN: 0496757083Subjects--Topical Terms:
1018410
Applied Mechanics.
Modeling and analysis of inelastic fracture.
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Nguyen, Thao D.
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Modeling and analysis of inelastic fracture.
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118 p.
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Source: Dissertation Abstracts International, Volume: 65-04, Section: B, page: 1945.
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Advisers: Huajian Gao; David M. Barnett.
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Thesis (Ph.D.)--Stanford University, 2004.
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This dissertation describes the development of computational tools for the modeling and analysis of inelastic fracture. To study the effects of rate-dependent material processes on dynamic fracture, a cohesive continuum model, viscoelastic Virtual Internal Bond (VE-VIB), is developed from the average response of a relaxing network of cohesive interactions. For fracture applications, the viscous response is made to weaken with deformation, and a cohesive force law is introduced for the behavior of the network bonds. The choice of viscosity function and bond potentials provides VE-VIB with two failure mechanisms, elastic bond breaking and viscous weakening, that combine to induce rate-dependence in the cohesive strength, fracture energy, and local limiting speed of crack propagation. The VE-VIB model is applied to study rate-dependent phenomena in dynamic fracture. Results display rate-dependent terminal speeds that correspond to the cohesive strength and not to the local driving force; thus supporting the local limiting speed hypothesis.
520
$a
For an energy analysis of inelastic fracture, a material force method is developed to calculate the local free energy release rate and work rate of dissipation for quasi-static crack growth in inelastic materials. The material force method extracts from a global balance of energy momentum integral expressions for the global material and dissipation forces. The global dissipation force explicitly evaluates the work rate of dissipation for a volume defined between a far-field and near-tip contour. Thus, the method can be used for transient fracture problems unlike existing path-independent J-integral formulations. The method is implemented as a post-processing step in finite element computations by applying a Galerkin discretization to obtain an equivalent domain integral expression of the global material force. The result calculates the global material force as the weighted sum of corresponding nodal forces. It also motivates the definition of nodal dissipation forces, the sum of which calculates the global dissipation force. The method is applied to cohesive fracture in an applied, Mode I K-field for viscoelasticity and J2 elastoplasticity to verify the method and the numerical implementation, and to study the development of inelastic dissipation.
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School code: 0212.
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Barnett, David M.,
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3128446
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