TY - JOUR

T1 - Thermo-elastic solid shell formulation with phase field fracture for thin-walled FGMs

AU - Asur Vijaya Kumar, Pavan Kumar

AU - Dean, Aamir

AU - Reinoso, Jose

AU - Paggi, Marco

N1 - Funding Information: AD, JR are grateful to the Consejería de Economía y Conocimiento of the Junta de Andalucía (Spain) for financial support under the contract US-1265577-Programa Operativo FEDER Andalucía 2014-2020 . JR acknowledges the support of Spanish Ministerio de Ciencia, Innovación y Universidades the under the grant PID2019-109723GB-I00 . AD, JR recognize the funding support by Consejería de Economía y Conocimiento of the Junta de Andalucía (Spain) under the grant P20-0595 . MP would like to acknowledge the financial support of the Italian Ministry of University and Research to the Research Project of National Interest PRIN2017 (“XFAST-SIMS: Extra fast and accurate simulation of complex structural systems” Grant Agreement no. 20173C478N ).

PY - 2022/10

Y1 - 2022/10

N2 - 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.

AB - 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.

KW - A. Solid shell

KW - B. Phase-field fracture

KW - C. Finite element method

KW - D: Non-linear thermo-elasticity

KW - E: Functionally graded materials

UR - http://www.scopus.com/inward/record.url?scp=85132238562&partnerID=8YFLogxK

U2 - 10.1016/j.tws.2022.109535

DO - 10.1016/j.tws.2022.109535

M3 - Article

AN - SCOPUS:85132238562

VL - 179

JO - Thin-walled structures

JF - Thin-walled structures

SN - 0263-8231

M1 - 109535

ER -