Micromechanically motivated constitutive models for hyperelastic materials based on the upper triangular decomposition of the deformation gradient

Yongqiang LiResearch Center of Lightweight Structures and Intelligent Manufacturing, State Key Laboratory of Mechanics and Control of Aerospace Structures, Nanjing University of Aeronautics and Astronautics, Kaiming XuResearch Center of Lightweight Structures and Intelligent Manufacturing, State Key Laboratory of Mechanics and Control of Aerospace Structures, Nanjing University of Aeronautics and Astronautics, Xin-Lin GaoDepartment of Mechanical Engineering, Lyle School of Engineering, Southern Methodist University

Mathematics and Mechanics of Solids

Published online on October 09, 2025

Abstract

Mathematics and Mechanics of Solids, Ahead of Print.
The upper triangular decomposition provides an alternative method to multiplicatively decompose the deformation gradient tensor into a product of a rotation tensor and an upper triangular distortion tensor. The six components of the distortion tensor can ...