This review summarizes recent theoretical and experimental studies on the mechanics and mechanical properties of two-dimensional (2D) materials, with a focus on graphene and other materials such as transition metal dichalcogenides (TMDs), hexagonal boron nitride (h-BN), and phosphorene. The mechanical properties of 2D materials, including elastic and inelastic properties, are crucial for their potential applications in various fields. The review discusses the elastic properties of 2D materials, including in-plane and bending moduli, and how they are measured experimentally and theoretically. It also covers the effects of defects, such as vacancies, dislocations, and grain boundaries, on the mechanical properties of 2D materials. The review highlights the importance of understanding the coupling between mechanical deformation and other physical properties of 2D materials, such as thermal, electronic, and optical properties. Additionally, it discusses the interfacial properties of 2D materials, including adhesion and friction, and how they are influenced by the interaction between 2D materials and various substrate materials. The review also explores the potential applications of 2D materials in areas such as flexible electronics, biomedical applications, and strain engineering. The study emphasizes the need for further research to better understand the mechanical properties of 2D materials and their potential applications.This review summarizes recent theoretical and experimental studies on the mechanics and mechanical properties of two-dimensional (2D) materials, with a focus on graphene and other materials such as transition metal dichalcogenides (TMDs), hexagonal boron nitride (h-BN), and phosphorene. The mechanical properties of 2D materials, including elastic and inelastic properties, are crucial for their potential applications in various fields. The review discusses the elastic properties of 2D materials, including in-plane and bending moduli, and how they are measured experimentally and theoretically. It also covers the effects of defects, such as vacancies, dislocations, and grain boundaries, on the mechanical properties of 2D materials. The review highlights the importance of understanding the coupling between mechanical deformation and other physical properties of 2D materials, such as thermal, electronic, and optical properties. Additionally, it discusses the interfacial properties of 2D materials, including adhesion and friction, and how they are influenced by the interaction between 2D materials and various substrate materials. The review also explores the potential applications of 2D materials in areas such as flexible electronics, biomedical applications, and strain engineering. The study emphasizes the need for further research to better understand the mechanical properties of 2D materials and their potential applications.