scholarly journals On the Homogenization of Material Forces

PAMM ◽  
2011 ◽  
Vol 11 (1) ◽  
pp. 549-550
Author(s):  
Sarah Ricker ◽  
Julia Mergheim ◽  
Paul Steinmann ◽  
Ralf Müller
Keyword(s):  
Material Forces

scholarly journals Material parametrization of natural rubber based compound and characterization of crack propagation under consideration of dissipative effects

2021 ◽  
Author(s):  
Dan Pornhagen ◽  
Konrad Schneider ◽  
Markus Stommel
Keyword(s):  
Energy Dissipation ◽  
Crack Propagation ◽  
Natural Rubber ◽  
Experimental Tests ◽  
Material Behavior ◽  
Prony Series ◽  
Material Forces ◽  
Cracking Behavior ◽  
Dissipative Effects

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.

scholarly journals Material Forces in Standard Dissipative Solids obtained from an Incremental Variational Formulation

PAMM ◽  
2004 ◽  
Vol 4 (1) ◽  
pp. 274-275 ◽  
Author(s):  
Dominik Zimmermann ◽  
Christian Miehe
Keyword(s):  
Variational Formulation ◽  
Material Forces

Material forces in micromorphic fracture mechanics

2004 ◽  
Vol 27 (6) ◽  
pp. 891-898
Author(s):  
James D. Lee ◽  
Youping Chen ◽  
Shiu‐Wei Yin
Keyword(s):  
Fracture Mechanics ◽  
Material Forces

scholarly journals Extremum principles for biological continuous bodies undergoing volumetric and surface growth

2012 ◽  
Vol 60 (2) ◽  
pp. 259-263 ◽  
Author(s):  
J.F. Ganghoffer
Keyword(s):  
Variational Principle ◽  
Open Systems ◽  
Chemical Species ◽  
Surface Growth ◽  
Balance Laws ◽  
Material Forces ◽  
Grand Potential ◽  
Set Up ◽  
Zero Potential ◽  
Solid Bodies

Abstract. The volumetric and surface growth of continuum solid bodies is considered, in the framework of the thermodynamics of open systems exchanging mass, work and chemical species (nutrients) with their environment. More specifically, we address the issue of setting up extremum principles for such growing bodies. A general three-field variational principle is set up, based on the so-called zero potential, which is a byproduct of the grand potential. The stationnarity conditions of those potentials deliver balance laws for generalized volumetric and surface Eshelby tensors, leading further to the identification of the material forces for growth.

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