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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.15646 |
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| _version_ | 1866908718702002176 |
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| author | Ulloa, Jacinto Stainier, Laurent |
| author_facet | Ulloa, Jacinto Stainier, Laurent |
| contents | We introduce a data-driven framework for identifying material behavior from full-field kinematics and force measurements in generalized (micromorphic) continua. Unlike traditional approaches that rely on constitutive assumptions or homogenization schemes, our method extracts generalized stress--strain data by enforcing non-classical balance laws and compatibility relations on full-field boundary value problems. Specifically, the approach infers the associated generalized stresses and constructs representative material datasets via clustering in a non-classical phase space. We show that the proposed method reliably extracts non-symmetric and higher-order local stress states, providing material data suitable for either model calibration or model-free data-driven simulations of generalized continua. These capabilities are demonstrated in validation simulations with synthetic data and in an application to mechanical metamaterials, suggesting a practical route for material characterization of microstructured solids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15646 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Material data identification in generalized continua Ulloa, Jacinto Stainier, Laurent Numerical Analysis We introduce a data-driven framework for identifying material behavior from full-field kinematics and force measurements in generalized (micromorphic) continua. Unlike traditional approaches that rely on constitutive assumptions or homogenization schemes, our method extracts generalized stress--strain data by enforcing non-classical balance laws and compatibility relations on full-field boundary value problems. Specifically, the approach infers the associated generalized stresses and constructs representative material datasets via clustering in a non-classical phase space. We show that the proposed method reliably extracts non-symmetric and higher-order local stress states, providing material data suitable for either model calibration or model-free data-driven simulations of generalized continua. These capabilities are demonstrated in validation simulations with synthetic data and in an application to mechanical metamaterials, suggesting a practical route for material characterization of microstructured solids. |
| title | Material data identification in generalized continua |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2512.15646 |