Weakly Nonlocal Theories of Damage and Plasticity Based on Balance of Dissipative Material Forces

AbstractMost concepts to characterize crack propagation were developed for elastic materials. When applying these methods to elastomers, the question is how the inherent energy dissipation of the material affects the cracking behavior. This contribution presents a numerical analysis of crack growth in natural rubber taking energy dissipation due to the visco-elastic material behavior into account. For this purpose, experimental tests were first carried out under different load conditions to parameterize a Prony series as well as a Bergström–Boyce model with the results. The parameterized Prony series was then used to perform numerical investigations with respect to the cracking behavior. Using the FE-software system ANSYS and the concept of material forces, the influence and proportion of the dissipative components were discussed.

Download Full-text

Ideational and Material Forces in Threat Perception: The Divergent Cases of Syria and Saudi Arabia During the Iran–Iraq War (1980–1988)

Journal of Global Security Studies ◽

10.1093/jogss/ogw005 ◽

2016 ◽

Vol 1 (2) ◽

pp. 142-156 ◽

Cited By ~ 3

Author(s):

May Darwich

Keyword(s):

Saudi Arabia ◽

Iraq War ◽

Threat Perception ◽

Material Forces

Download Full-text

On the Homogenization of Material Forces

PAMM ◽

10.1002/pamm.201110264 ◽

2011 ◽

Vol 11 (1) ◽

pp. 549-550

Author(s):

Sarah Ricker ◽

Julia Mergheim ◽

Paul Steinmann ◽

Ralf Müller

Keyword(s):

Material Forces

Download Full-text

Variational Approaches and Methods for Dissipative Material Models with Multiple Scales

Analysis and Computation of Microstructure in Finite Plasticity - Lecture Notes in Applied and Computational Mechanics ◽

10.1007/978-3-319-18242-1_5 ◽

2015 ◽

pp. 125-155 ◽

Cited By ~ 2

Author(s):

Alexander Mielke

Keyword(s):

Multiple Scales ◽

Material Models ◽

Variational Approaches ◽

Dissipative Material

Download Full-text

A First-Principles Method of Determining Van Der Waals Forces in a Dissipative Media

ASME 2012 Third International Conference on Micro/Nanoscale Heat and Mass Transfer ◽

10.1115/mnhmt2012-75165 ◽

2012 ◽

Author(s):

Yi Zheng ◽

Arvind Narayanaswamy

Keyword(s):

Stress Tensor ◽

First Principles ◽

Van Der Waals ◽

Maxwell Stress ◽

Quantum Field ◽

Maxwell Stress Tensor ◽

Lifshitz Theory ◽

Dissipative Media ◽

Dissipative Material ◽

Vdw Force

Lifshitz theory of van der Waals (vdW) force and energy is strictly valid when the location at which the stress tensor is calculated is in vacuum. Generalization of Lifshitz theory to the case when the stress tensor is to be calculated in a dissipative material, as opposed to vacuum, is a surprisingly difficult undertaking because there is no expression for the electromagnetic stress tensor in dissipative materials. Here, we derive the expression for vdW force in planar dissipative media by calculating the Maxwell stress tensor in a fictious layer of vacuum, that is eventually made to vanish, introduced in the structure, without employing the complicated quantum field theoretic method proposed by Dzyaloshinskii, Lifshitz, and Pitaevskii. Even though this work has proven to be a corroboration of Dzyaloshinskii et al., it has thrown new light on our understanding of vdW forces and suggests that it should be possible to achieve the similar result for objects with arbitrary shapes.

Download Full-text