Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.10774 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913641098379264 |
|---|---|
| author | Francis, Noah M. Lebensohn, Ricardo A. Pourahmadian, Fatemeh Dingreville, Rémi |
| author_facet | Francis, Noah M. Lebensohn, Ricardo A. Pourahmadian, Fatemeh Dingreville, Rémi |
| contents | This work presents a micromechanical spectral formulation for obtaining the full-field and homogenized response of elastoplastic micropolar composites. A closed-form radial-return mapping is derived from thermodynamics-based micropolar elastoplastic constitutive equations to determine the increment of plastic strain necessary to return the generalized stress state to the yield surface, and the algorithm implementation is verified using the method of numerically manufactured solutions. Then, size-dependent material response and micro-plasticity are shown as features that may be efficiently simulated in this micropolar elastoplastic framework. The computational efficiency of the formulation enables the generation of large datasets in reasonable computing times. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10774 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Micropolar elastoplasticity using a fast Fourier transform-based solver Francis, Noah M. Lebensohn, Ricardo A. Pourahmadian, Fatemeh Dingreville, Rémi Computational Engineering, Finance, and Science This work presents a micromechanical spectral formulation for obtaining the full-field and homogenized response of elastoplastic micropolar composites. A closed-form radial-return mapping is derived from thermodynamics-based micropolar elastoplastic constitutive equations to determine the increment of plastic strain necessary to return the generalized stress state to the yield surface, and the algorithm implementation is verified using the method of numerically manufactured solutions. Then, size-dependent material response and micro-plasticity are shown as features that may be efficiently simulated in this micropolar elastoplastic framework. The computational efficiency of the formulation enables the generation of large datasets in reasonable computing times. |
| title | Micropolar elastoplasticity using a fast Fourier transform-based solver |
| topic | Computational Engineering, Finance, and Science |
| url | https://arxiv.org/abs/2409.10774 |