Progressive Fracturing of Softening Materials Under Dynamic Loading Conditions

683 Views
653 Downloads
Export citation: ABNT
REN, Zoran ;BIĆANIĆ, Nenad .
Progressive Fracturing of Softening Materials Under Dynamic Loading Conditions. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 40, n.11-12, p. 401-414, november 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/progressive-fracturing-of-softening-materials-under-dynamic-loading-conditions/>. Date accessed: 24 sep. 2020. 
doi:http://dx.doi.org/.
Ren, Z., & Bićanić, N.
(1994).
Progressive Fracturing of Softening Materials Under Dynamic Loading Conditions.
Strojniški vestnik - Journal of Mechanical Engineering, 40(11-12), 401-414.
doi:http://dx.doi.org/
@article{.,
	author = {Zoran  Ren and Nenad  Bićanić},
	title = {Progressive Fracturing of Softening Materials Under Dynamic Loading Conditions},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {40},
	number = {11-12},
	year = {1994},
	keywords = {Fracturing; Softening Material; Dynamic Loading Conditions; },
	abstract = {A phenomenological approach based on the empirical formulation of stresses and strains is followed in this paper, utilising the theory of viscoplasticity in the general framework of the finite element method for modelling the progressive fracturing of softening materials in transient dynamic problems. The central difference method is used for a step-by-step direct time integration of equations of motion, which is coupled with lumped mass and proportional damping matrices. In the context of the rotating smeared crack approach, it is assumed that micro-cracking is initiated upon the violation of a yield criterion and is further governed by the strain softening process. The progressive damage is assumed to be isotropic and is modelled with the gradual reduction of the load carrying capability. The occurrence of strain softening in the continuum leads to the localisation of deformation, which causes a local failure through the occurrence of cracks in the localised zones. Further propagation of localised zones of intense deformation leads to the development of fully opened cracks and consequently to a structural discontinuity. A finite element removal technique is proposed for modelling the final separation of the continuum, when a complete loss of the load carrying capability in the localised zone has been achieved. A representative numerical example is given.},
	issn = {0039-2480},	pages = {401-414},	doi = {},
	url = {https://www.sv-jme.eu/article/progressive-fracturing-of-softening-materials-under-dynamic-loading-conditions/}
}
Ren, Z.,Bićanić, N.
1994 November 40. Progressive Fracturing of Softening Materials Under Dynamic Loading Conditions. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 40:11-12
%A Ren, Zoran 
%A Bićanić, Nenad 
%D 1994
%T Progressive Fracturing of Softening Materials Under Dynamic Loading Conditions
%B 1994
%9 Fracturing; Softening Material; Dynamic Loading Conditions; 
%! Progressive Fracturing of Softening Materials Under Dynamic Loading Conditions
%K Fracturing; Softening Material; Dynamic Loading Conditions; 
%X A phenomenological approach based on the empirical formulation of stresses and strains is followed in this paper, utilising the theory of viscoplasticity in the general framework of the finite element method for modelling the progressive fracturing of softening materials in transient dynamic problems. The central difference method is used for a step-by-step direct time integration of equations of motion, which is coupled with lumped mass and proportional damping matrices. In the context of the rotating smeared crack approach, it is assumed that micro-cracking is initiated upon the violation of a yield criterion and is further governed by the strain softening process. The progressive damage is assumed to be isotropic and is modelled with the gradual reduction of the load carrying capability. The occurrence of strain softening in the continuum leads to the localisation of deformation, which causes a local failure through the occurrence of cracks in the localised zones. Further propagation of localised zones of intense deformation leads to the development of fully opened cracks and consequently to a structural discontinuity. A finite element removal technique is proposed for modelling the final separation of the continuum, when a complete loss of the load carrying capability in the localised zone has been achieved. A representative numerical example is given.
%U https://www.sv-jme.eu/article/progressive-fracturing-of-softening-materials-under-dynamic-loading-conditions/
%0 Journal Article
%R 
%& 401
%P 14
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 40
%N 11-12
%@ 0039-2480
%8 2017-11-11
%7 2017-11-11
Ren, Zoran, & Nenad  Bićanić.
"Progressive Fracturing of Softening Materials Under Dynamic Loading Conditions." Strojniški vestnik - Journal of Mechanical Engineering [Online], 40.11-12 (1994): 401-414. Web.  24 Sep. 2020
TY  - JOUR
AU  - Ren, Zoran 
AU  - Bićanić, Nenad 
PY  - 1994
TI  - Progressive Fracturing of Softening Materials Under Dynamic Loading Conditions
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - Fracturing; Softening Material; Dynamic Loading Conditions; 
N2  - A phenomenological approach based on the empirical formulation of stresses and strains is followed in this paper, utilising the theory of viscoplasticity in the general framework of the finite element method for modelling the progressive fracturing of softening materials in transient dynamic problems. The central difference method is used for a step-by-step direct time integration of equations of motion, which is coupled with lumped mass and proportional damping matrices. In the context of the rotating smeared crack approach, it is assumed that micro-cracking is initiated upon the violation of a yield criterion and is further governed by the strain softening process. The progressive damage is assumed to be isotropic and is modelled with the gradual reduction of the load carrying capability. The occurrence of strain softening in the continuum leads to the localisation of deformation, which causes a local failure through the occurrence of cracks in the localised zones. Further propagation of localised zones of intense deformation leads to the development of fully opened cracks and consequently to a structural discontinuity. A finite element removal technique is proposed for modelling the final separation of the continuum, when a complete loss of the load carrying capability in the localised zone has been achieved. A representative numerical example is given.
UR  - https://www.sv-jme.eu/article/progressive-fracturing-of-softening-materials-under-dynamic-loading-conditions/
@article{{}{.},
	author = {Ren, Z., Bićanić, N.},
	title = {Progressive Fracturing of Softening Materials Under Dynamic Loading Conditions},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {40},
	number = {11-12},
	year = {1994},
	doi = {},
	url = {https://www.sv-jme.eu/article/progressive-fracturing-of-softening-materials-under-dynamic-loading-conditions/}
}
TY  - JOUR
AU  - Ren, Zoran 
AU  - Bićanić, Nenad 
PY  - 2017/11/11
TI  - Progressive Fracturing of Softening Materials Under Dynamic Loading Conditions
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 40, No 11-12 (1994): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - Fracturing, Softening Material, Dynamic Loading Conditions, 
N2  - A phenomenological approach based on the empirical formulation of stresses and strains is followed in this paper, utilising the theory of viscoplasticity in the general framework of the finite element method for modelling the progressive fracturing of softening materials in transient dynamic problems. The central difference method is used for a step-by-step direct time integration of equations of motion, which is coupled with lumped mass and proportional damping matrices. In the context of the rotating smeared crack approach, it is assumed that micro-cracking is initiated upon the violation of a yield criterion and is further governed by the strain softening process. The progressive damage is assumed to be isotropic and is modelled with the gradual reduction of the load carrying capability. The occurrence of strain softening in the continuum leads to the localisation of deformation, which causes a local failure through the occurrence of cracks in the localised zones. Further propagation of localised zones of intense deformation leads to the development of fully opened cracks and consequently to a structural discontinuity. A finite element removal technique is proposed for modelling the final separation of the continuum, when a complete loss of the load carrying capability in the localised zone has been achieved. A representative numerical example is given.
UR  - https://www.sv-jme.eu/article/progressive-fracturing-of-softening-materials-under-dynamic-loading-conditions/
Ren, Zoran, AND Bićanić, Nenad.
"Progressive Fracturing of Softening Materials Under Dynamic Loading Conditions" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 40 Number 11-12 (11 November 2017)

Authors

Affiliations

  • University of Maribor, Faculty of Mechanical Engineering, Slovenia
  • University of Glasgow, Department od Civil Enigneering, Great Britain

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 40(1994)11-12, 401-414

A phenomenological approach based on the empirical formulation of stresses and strains is followed in this paper, utilising the theory of viscoplasticity in the general framework of the finite element method for modelling the progressive fracturing of softening materials in transient dynamic problems. The central difference method is used for a step-by-step direct time integration of equations of motion, which is coupled with lumped mass and proportional damping matrices. In the context of the rotating smeared crack approach, it is assumed that micro-cracking is initiated upon the violation of a yield criterion and is further governed by the strain softening process. The progressive damage is assumed to be isotropic and is modelled with the gradual reduction of the load carrying capability. The occurrence of strain softening in the continuum leads to the localisation of deformation, which causes a local failure through the occurrence of cracks in the localised zones. Further propagation of localised zones of intense deformation leads to the development of fully opened cracks and consequently to a structural discontinuity. A finite element removal technique is proposed for modelling the final separation of the continuum, when a complete loss of the load carrying capability in the localised zone has been achieved. A representative numerical example is given.

Fracturing; Softening Material; Dynamic Loading Conditions;