Quasi-static and dynamic fracture modeling by the nonlocal operator method

2021 ◽  
Vol 133 ◽  
pp. 120-137
Author(s):  
Yongzheng Zhang ◽  
Huilong Ren ◽  
Pedro Areias ◽  
Xiaoying Zhuang ◽  
Timon Rabczuk
Keyword(s):  
Dynamic Fracture ◽  
Operator Method ◽  
Nonlocal Operator ◽  
Fracture Modeling

A nonlocal operator method for finite deformation higher-order gradient elasticity

2021 ◽  
Vol 384 ◽  
pp. 113963
Author(s):  
Huilong Ren ◽  
Xiaoying Zhuang ◽  
Nguyen-Thoi Trung ◽  
Timon Rabczuk
Keyword(s):  
Finite Deformation ◽  
Gradient Elasticity ◽  
Operator Method ◽  
Higher Order ◽  
Nonlocal Operator

scholarly journals Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase-field fracture by nonlocal operator method

2021 ◽  
Author(s):  
Huilong Ren ◽  
Xiaoying Zhuang ◽  
Erkan Oterkus ◽  
Hehua Zhu ◽  
Timon Rabczuk
Keyword(s):  
Thin Plate ◽  
Phase Field ◽  
Nonlocal Elasticity ◽  
Gradient Elasticity ◽  
Operator Method ◽  
Integral Form ◽  
Physical Models ◽  
Nonlocal Operator ◽  
Weighted Residual Method ◽  
Physical Problems

AbstractThe derivation of nonlocal strong forms for many physical problems remains cumbersome in traditional methods. In this paper, we apply the variational principle/weighted residual method based on nonlocal operator method for the derivation of nonlocal forms for elasticity, thin plate, gradient elasticity, electro-magneto-elasticity and phase-field fracture method. The nonlocal governing equations are expressed as an integral form on support and dual-support. The first example shows that the nonlocal elasticity has the same form as dual-horizon non-ordinary state-based peridynamics. The derivation is simple and general and it can convert efficiently many local physical models into their corresponding nonlocal forms. In addition, a criterion based on the instability of the nonlocal gradient is proposed for the fracture modelling in linear elasticity. Several numerical examples are presented to validate nonlocal elasticity and the nonlocal thin plate.

Viscoplastic Characterization of A533B Steel at High Strain Rates

1990 ◽  
Vol 112 (3) ◽  
pp. 218-224 ◽  
Author(s):  
R. J. Dexter ◽  
K. S. Chan
Keyword(s):  
Dynamic Fracture ◽  
Constitutive Equations ◽  
Tensile Tests ◽  
Pressure Vessels ◽  
Strain Rates ◽  
Fracture Modeling ◽  
Measured Stress ◽  
Class 1 ◽  
Tensile Data

The yield strength of A533 grade B class 1 steel is relatively low. Dynamic fracture in test specimens and pressure vessels made with this material is generally accompanied by significant plastic flow over a large range of strain rates. Therefore, it is imperative to use viscoplastic constitutive equations in the analysis of dynamic fracture in A533B steel. This paper describes the characterization and modeling of the viscoplastic behavior of A533B steel using the Bodner-Partom model. Tensile tests were performed from −60°C to 175°C at strain rates ranging from 10−3 to 103. The tensile data were used to obtain material constants in the Bodner-Partom constitutive equations over this range of temperatures. Comparison of calculated and measured stress-strain curves showed good agreement, validating the model and the procedures for determining the model constants. The use of the Bodner-Partom model for dynamic fracture modeling is then discussed.

scholarly journals Strain injection techniques in dynamic fracture modeling

2016 ◽  
Vol 308 ◽  
pp. 499-534 ◽  
Author(s):  
O. Lloberas-Valls ◽  
A.E. Huespe ◽  
J. Oliver ◽  
I.F. Dias
Keyword(s):  
Dynamic Fracture ◽  
Fracture Modeling ◽  
Injection Techniques

Dynamic fracture modeling in shell structures based on XFEM

2010 ◽  
Vol 86 (4-5) ◽  
pp. 499-527 ◽  
Author(s):  
Ragnar Larsson ◽  
Jesus Mediavilla ◽  
Martin Fagerström
Keyword(s):  
Dynamic Fracture ◽  
Shell Structures ◽  
Fracture Modeling
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