Simulation of crumpled sheets via alternating quasistatic and dynamic representations

by   Jovana Andrejevic, et al.

In this work, we present a method for simulating the large-scale deformation and crumpling of thin, elastoplastic sheets. Motivated by the physical behavior of thin sheets during crumpling, we adopt two different formulations of the governing equations of motion: a quasistatic formulation that effectively describes smooth deformations, and a fully dynamic formulation that captures large changes in the sheet's velocity. The former is a differential-algebraic system solved implicitly, while the latter is a purely differential system solved explicitly, using a hybrid integration scheme that adaptively alternates between the two representations. We demonstrate the capacity of this method to effectively simulate a variety of crumpling phenomena. Finally, we show that statistical properties, notably the accumulation of creases under repeated loading, as well as the area distribution of facets, are consistent with experimental observations.



There are no comments yet.


page 18

page 19

page 20


Numerical time integration of lumped parameter systems governed by implicit constitutive relations

Time-integration for lumped parameter systems obeying implicit Bingham-K...

Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations

We extend the index-aware model-order reduction method to systems of non...

The Boundary Element Method of Peridynamics

The peridynamic theory reformulates the governing equation of continuum ...

A stabilized computational nonlocal poromechanics model for dynamic analysis of saturated porous media

In this article we formulate a stable computational nonlocal poromechani...

Dynamic Simulation-Guided Design of Tumbling Magnetic Microrobots

Design of robots at the small scale is a trial-and-error based process, ...

Model-Based Real-Time Motion Tracking using Dynamical Inverse Kinematics

This paper contributes towards the development of motion tracking algori...

The p-Airy distribution

In this manuscript we consider the set of Dyck paths equipped with the u...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.