Abstract
A boundary element formulation for geometrical nonlinear problems is presented, which is applicable for arbitrary constitutive equations based on the concept of hyperelastic response relative to an intermediate configuration. This includes purely hyperelastic problems at large elastic strains. In contrast to other formulations, the Total-Lagrange framework employed in this work significantly increases the numerical efficiency as the system matrices remain constant during the incremental solution and have to be computed only once. A nonlinear set of equations with an identical structure for both boundary and internal unknowns is derived. The basic unknowns are displacement gradients, which are calculated via integral equations and not by differentiation of the shape functions. The formulation can be consistently linearised to allow for the implementation of efficient iteration schemes using gradients, e.g. the Newton-Raphson scheme.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
