第二部門：計算力学（B）

[S02B-04] Modeling of thermal shrinkage induced-cracking in brittle material using HO-PDS-FEM

*Muhammad Naveed Akram¹, Mahendra Pal Kumar², Lalith Wijerathne³, KAWAHITO Yosuke⁴, Kameda Toshihiro⁵, Hori Muneo⁶ (1. University of Tokyo, Civil Engineering Department, 2. Hyogo Earthquake Engineering Research Center, National Research Institute for Earth Science and Disaster Resilience, 3. Earthquake Research Institute, University of Tokyo, 4. Institute for Extra-cutting-edge Science and Technology Avant-garde Research, Advanced Science-Technology Research, Japan Agency for Marine-Earth Science and Technology, 5. Department of Engineering Mechanics and Energy, University of Tsukuba, 6. Research Institute for Value-Added-Information Generation, Japan Agency for Marine-Earth Science and Technology)

キーワード：Thermal cracking, Convective cooling, Brittle material, Higher order particle discretization scheme

This paper presents a numerical modeling of thermal shrinkage-induced cracks in brittle materials such as concrete using Higher Order Particle Discretization Scheme-Finite Element Method 1) (HO-PDS-FEM). Materials like glass, concrete, etc.are vulnerable to catastrophic cracking when exposed to hightemperature due to the lack of ductility. Research on thermal shock failure of brittle materials has been of interest to researchers for more than a decade for a range of application from fire safety to LASER cutting. Bourdin 2) has studied the variational approach to model fracture and stated that crack initiation and propagation can be unified in the variation framework. Author has extended his study to model quenching of glass i.e. crack propagation under thermal load. There are several difficulties in modeling thermal cracking: unavailability of efficiently model for the cracking phenomena, lack of accurate data of material properties at high-temperature, and temperature dependent material properties. We chose HO-PDS-FEM 1) for modeling thermal induced cracking because PDS-FEM provides simple and numerically efficient failure treatment. Jiang et. al 3) have performed experimental and numerical study on cracking pattern in ceramics subjected to thermal shocks. Further, they have also estimated the temperature dependent material parameters using inverse analysis, which allows us to validate results. In this extended abstract, we present the implementation of HO-PDS-FEM for thermal conduction in solids and cracking due to convective and radiative cooling. Implementation is validated by reproducing the experimental observations of cracking in Al2O3 sheet due to convective cooling.