A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Thermo-elastic solid shell formulation with phase field fracture for thin-walled FGMs
https://orcid.org/0000-0002-9301-297X
https://orcid.org/0000-0001-5469-3736
Abstract Thermo-elastic fracture is a matter of important concern for thin-walled structures made of functionally graded materials (FGMs). Based on this practical relevance, a thermodynamically consistent framework is herein proposed to solve the coupled thermo-mechanical phase-field fracture problem in thin-walled structures made of FGMs. The formulation of the current model is constructed via the evaluation of the phase-field in the Clausius–Duhem inequality leading in to first-order stability conditions in order to ensure thermodynamic consistency. The three-dimensional Kirchhoff–Saint–Venant constitutive model is modified to accommodate the functional grading in the material properties. The computational model is combined with Enhanced Assumed Strain (EAS) and Assumed Natural Strains (ANS) to alleviate locking pathologies concerning the solid shell formulation, leading to a coupled non-linear variational formulation. Several benchmark examples (straight and curved shells) are examined to assess the model capabilities. Moreover, crack deflection, and temperature distributions in the FGM structures are compared with their homogeneous surrogates, to show the importance of the technological solutions with two or even three FGM phases.
Highlights Thermo-mechanical phase field approach to fracture for shell structures. Consistent formulation for locking free solid shells. Application to functionally graded materials with several grading schemes. Flat and curved thin-walled geometries.
Thermo-elastic solid shell formulation with phase field fracture for thin-walled FGMs
https://orcid.org/0000-0002-9301-297X
https://orcid.org/0000-0001-5469-3736
Abstract Thermo-elastic fracture is a matter of important concern for thin-walled structures made of functionally graded materials (FGMs). Based on this practical relevance, a thermodynamically consistent framework is herein proposed to solve the coupled thermo-mechanical phase-field fracture problem in thin-walled structures made of FGMs. The formulation of the current model is constructed via the evaluation of the phase-field in the Clausius–Duhem inequality leading in to first-order stability conditions in order to ensure thermodynamic consistency. The three-dimensional Kirchhoff–Saint–Venant constitutive model is modified to accommodate the functional grading in the material properties. The computational model is combined with Enhanced Assumed Strain (EAS) and Assumed Natural Strains (ANS) to alleviate locking pathologies concerning the solid shell formulation, leading to a coupled non-linear variational formulation. Several benchmark examples (straight and curved shells) are examined to assess the model capabilities. Moreover, crack deflection, and temperature distributions in the FGM structures are compared with their homogeneous surrogates, to show the importance of the technological solutions with two or even three FGM phases.
Highlights Thermo-mechanical phase field approach to fracture for shell structures. Consistent formulation for locking free solid shells. Application to functionally graded materials with several grading schemes. Flat and curved thin-walled geometries.
Thermo-elastic solid shell formulation with phase field fracture for thin-walled FGMs
https://orcid.org/0000-0002-9301-297X
https://orcid.org/0000-0001-5469-3736
Abstract Thermo-elastic fracture is a matter of important concern for thin-walled structures made of functionally graded materials (FGMs). Based on this practical relevance, a thermodynamically consistent framework is herein proposed to solve the coupled thermo-mechanical phase-field fracture problem in thin-walled structures made of FGMs. The formulation of the current model is constructed via the evaluation of the phase-field in the Clausius–Duhem inequality leading in to first-order stability conditions in order to ensure thermodynamic consistency. The three-dimensional Kirchhoff–Saint–Venant constitutive model is modified to accommodate the functional grading in the material properties. The computational model is combined with Enhanced Assumed Strain (EAS) and Assumed Natural Strains (ANS) to alleviate locking pathologies concerning the solid shell formulation, leading to a coupled non-linear variational formulation. Several benchmark examples (straight and curved shells) are examined to assess the model capabilities. Moreover, crack deflection, and temperature distributions in the FGM structures are compared with their homogeneous surrogates, to show the importance of the technological solutions with two or even three FGM phases.
Highlights Thermo-mechanical phase field approach to fracture for shell structures. Consistent formulation for locking free solid shells. Application to functionally graded materials with several grading schemes. Flat and curved thin-walled geometries.
Thermo-elastic solid shell formulation with phase field fracture for thin-walled FGMs
Asur Vijaya Kumar, Pavan Kumar (author) / Dean, Aamir (author) / Reinoso, Jose (author) / Paggi, Marco (author)
Thin-Walled Structures ; 179
2022-05-25
Article (Journal)
Electronic Resource
English
Fracture of thin-walled structure with SPH shell formulation
| Online Contents | 2010
| British Library Online Contents | 2011
Thermo-mechanical behavior of a viscoelastic FGMs coating containing an interface crack
| British Library Online Contents | 2010
Fracture Mechanics Analysis of 2-D FGMs by a Meshless BEM
| British Library Online Contents | 2006