Mathematical and Numerical Modelling of Large Axisymmetric Creep Strains and Damage

Krzysztof Szuwalski; Aneta Ustrzycka

doi:10.4028/www.scientific.net/AMM.784.241

Paper Titles

Damage Index Proposals Applied to Quasi-Fragile Materials Simulated Using the Lattice Discrete Element Method
p.209

Different Numerical Time Integration Schemes for Elastoplasticity Coupled to Anisotropic Damage
p.217

Failure Surface Variation Obtained with the Truss-Like Discrete Element Method
p.225

Micromechanical Damage Simulation to Obtain Effect of Coarse Grains Distribution on Mechanical Properties of Bimodal AL Using 2D XFEM
p.233

Mathematical and Numerical Modelling of Large Axisymmetric Creep Strains and Damage
p.241

Heterogeneous Lattice Model Based Simulation of Concrete under Uniaxial Loading
p.249

Impact Failure Analysis of RC Beam Using ASPH Method Based on Damage Theory
p.258

Coupled Damage-Plasticity Modelling of Ductile Failure in an Aluminium Alloy
p.266

Recent Developments in Modelling of Progressive Damage in Fibre-Reinforced Composites
p.274

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 784Mathematical and Numerical Modelling of Large...

Mathematical and Numerical Modelling of Large Axisymmetric Creep Strains and Damage

Abstract:

The paper presents a simulation model for the creep process of rotating disks under radial tensional pressure subjected to of body force. The finite strain theory is applied. The material is described by the Norton-Bailey law generalized for true stresses and logarithmic strains. The mathematical model is formulated in form of set of four partial differential equations with respect to radial coordinate and time. Necessary initial and boundary conditions are also given. To make the model complete, the numerical procedure for solving this set is proposed. What is worth noticing the classical FEM is not applicable, because not only geometry, but also loading (body forces) change in time during the creep process. It would demand redefinition of finite elements at each time step. In uniaxial problem similar model was presented in [4], but now it is developed for complex stress state. Possible different formulations of initial and boundary conditions may be found in [5]. The procedure may be useful in problems of optimal design of full disks in [6].

You might also be interested in these eBooks

Damage Mechanics: Theory, Computation and Practice

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volume 784)

Pages:

241-248

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.784.241

Citation:

Cite this paper

Online since:

August 2015

Authors:

Krzysztof Szuwalski, Aneta Ustrzycka

Keywords:

Creep Process, Finite Strain Theory, Rotating Disks, Simulation Model.

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] N.J., Hoff, The necking and rupture of rods subjected to constant tensile loads, J. Appl. Mech. Trans. ASME 20 (1953) 105–112.

DOI: 10.1115/1.4010601

Google Scholar

[2] L. M., Kachanov, Rupture time under creep conditions. Int. Journal of Fracture. 97 (1999) xi-xviii.

Google Scholar

[3] K., Szuwalski, Optimal design of disks with respect to ductile creep rupture time. Struct. Opt., 10 (1995) 54-60.

DOI: 10.1007/bf01743695

Google Scholar

[4] K., Szuwalski, A., Ustrzycka, Optimal design of bars under nonuniform tension with respect to mixed creep rupture time. Int. J. Non-Linear Mech., 47, 55–60 (2012).

DOI: 10.1016/j.ijnonlinmec.2012.03.002

Google Scholar

[5] K., Szuwalski A., Ustrzycka, The influence of boundary conditions on optimal shape of annular disk with respect to ductile creep rupture time, European J. Mech. A/Solids, 37 (2013) 79-85.

DOI: 10.1016/j.euromechsol.2012.05.006

Google Scholar

[6] K., Szuwalski A., Ustrzycka, Optimal Design of Full Disks With Respect to Mixed Creep Rupture Time, Engineering Structures, 56 (2013) 1728–1734.

DOI: 10.1016/j.engstruct.2013.08.001

Google Scholar