Algorithms for calculation damage processes
The paper reviews the existing approaches to calculating the destruction of solids. The main attention is paid to algorithms using a unified approach to the calculation of deformation both for nondestructive and for the destroyed states of the material. The thermodynamic derivation of constitutive r...
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| Format: | Article |
| Language: | English |
| Published: |
Gruppo Italiano Frattura
2019-06-01
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| Series: | Fracture and Structural Integrity |
| Subjects: | |
| Online Access: | https://www.fracturae.com/index.php/fis/article/view/2485 |
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| _version_ | 1841562768279339008 |
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| author | Aleksandr Dmitrievich Nikitin Nikolay G. Burago Ilia S. Nikitin Boris A. Stratula |
| author_facet | Aleksandr Dmitrievich Nikitin Nikolay G. Burago Ilia S. Nikitin Boris A. Stratula |
| author_sort | Aleksandr Dmitrievich Nikitin |
| collection | DOAJ |
| description | The paper reviews the existing approaches to calculating the destruction of solids. The main attention is paid to algorithms using a unified approach to the calculation of deformation both for nondestructive and for the destroyed states of the material. The thermodynamic derivation of constitutive relations for solids with elastic, viscous and plastic properties accounting possible destruction is presented. Explicit and implicit non-matrix algorithms for calculating the evolution of deformation and fracture development are presented. Implicit schemes are implemented using iterations of the conjugate gradient method, with the calculation of each iteration exactly coinciding with the calculation of the time step for two-layer explicit schemes. Therefore the solution algorithms are very simple. The results of solving typical problems of destruction of solid deformable bodies for slow (quasistatic) and fast (dynamic) deformation processes are presented. Recommendations are given for modeling the processes of destruction and ensuring the reliability of numerical solutions. |
| format | Article |
| id | doaj-art-550718acc65949d9892a7069dd3bc03a |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2019-06-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-550718acc65949d9892a7069dd3bc03a2025-01-03T00:40:27ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932019-06-011349Algorithms for calculation damage processesAleksandr Dmitrievich Nikitin0Nikolay G. Burago1Ilia S. Nikitin2Boris A. Stratula3Institute for Computer Aided Design RASIshlinsky Institute for problems in mechanics of the RAS, Moscow, RussiaInstitute of Computer Aided Design of RAS, Moscow, RussiaInstitute of Computer Aided Design of RAS, Moscow, RussiaThe paper reviews the existing approaches to calculating the destruction of solids. The main attention is paid to algorithms using a unified approach to the calculation of deformation both for nondestructive and for the destroyed states of the material. The thermodynamic derivation of constitutive relations for solids with elastic, viscous and plastic properties accounting possible destruction is presented. Explicit and implicit non-matrix algorithms for calculating the evolution of deformation and fracture development are presented. Implicit schemes are implemented using iterations of the conjugate gradient method, with the calculation of each iteration exactly coinciding with the calculation of the time step for two-layer explicit schemes. Therefore the solution algorithms are very simple. The results of solving typical problems of destruction of solid deformable bodies for slow (quasistatic) and fast (dynamic) deformation processes are presented. Recommendations are given for modeling the processes of destruction and ensuring the reliability of numerical solutions.https://www.fracturae.com/index.php/fis/article/view/2485FractureDamageElasticityPlasticityThermodynamicssoftening |
| spellingShingle | Aleksandr Dmitrievich Nikitin Nikolay G. Burago Ilia S. Nikitin Boris A. Stratula Algorithms for calculation damage processes Fracture and Structural Integrity Fracture Damage Elasticity Plasticity Thermodynamics softening |
| title | Algorithms for calculation damage processes |
| title_full | Algorithms for calculation damage processes |
| title_fullStr | Algorithms for calculation damage processes |
| title_full_unstemmed | Algorithms for calculation damage processes |
| title_short | Algorithms for calculation damage processes |
| title_sort | algorithms for calculation damage processes |
| topic | Fracture Damage Elasticity Plasticity Thermodynamics softening |
| url | https://www.fracturae.com/index.php/fis/article/view/2485 |
| work_keys_str_mv | AT aleksandrdmitrievichnikitin algorithmsforcalculationdamageprocesses AT nikolaygburago algorithmsforcalculationdamageprocesses AT iliasnikitin algorithmsforcalculationdamageprocesses AT borisastratula algorithmsforcalculationdamageprocesses |