Shallow arches lose stability under transverse loading if the load surpasses a critical threshold, leading to a sudden and significant deformation as they transition to a new stable configuration. This snap-through buckling behavior can be beneficial in certain applications, such as toggle switches or detrimental in others. Consequently, understanding the factors that influence snap-through behavior is essential for designing structures that perform reliably under such conditions. Therefore, this study aims to investigate the large amplitude response and post-buckling stability of shallow thick arches whose material properties can vary along thickness and length according to three different patterns. Further, the material can be porous through the arch thickness according to three different porosity distribution types. Based on the Reddy’s higher-order shear deformation theory and the von Kármán type of geometric …