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Publications Influence

A micropolar theory of finite deformation and finite rotation multiplicative elastoplasticity

- P. Steinmann
- Mathematics
- 1 April 1994

The aim of this work is to formulate a geometrically exact theory of finite deformation and finite rotation micropolar elastoplasticity to obtain a generalized nonlinear continuum framework. To this… Expand

157 12

Physical biology of human brain development

- S. Budday, P. Steinmann, E. Kuhl
- Biology, Medicine
- Front. Cell. Neurosci.
- 8 July 2015

Neurodevelopment is a complex, dynamic process that involves a precisely orchestrated sequence of genetic, environmental, biochemical, and physical events. Developmental biology and genetics have… Expand

112 11- PDF

Mechanical properties of gray and white matter brain tissue by indentation.

- S. Budday, Richard Nay, +4 authors E. Kuhl
- Materials Science, Medicine
- Journal of the mechanical behavior of biomedical…
- 1 June 2015

The mammalian brain is composed of an outer layer of gray matter, consisting of cell bodies, dendrites, and unmyelinated axons, and an inner core of white matter, consisting primarily of myelinated… Expand

247 10- PDF

Mechanical characterization of human brain tissue.

- S. Budday, G. Sommer, +8 authors G. Holzapfel
- Materials Science, Medicine
- Acta biomaterialia
- 15 January 2017

Mechanics are increasingly recognized to play an important role in modulating brain form and function. Computational simulations are a powerful tool to predict the mechanical behavior of the human… Expand

168 9- PDF

Computational Modelling of Isotropic Multiplicative Growth

- G. Himpel, E. Kuhl, A. Menzel, P. Steinmann
- Mathematics
- 1 May 2005

The changing mass of biomaterials can either be modelled at the constitutive level or at the kinematic level. This contribution attends on the description of growth at the kinematic level. The… Expand

106 8- PDF

Theory and numerics of geometrically non-linear open system mechanics

- E. Kuhl, P. Steinmann
- Physics
- 21 November 2003

The present contribution aims at deriving a general theoretical and numerical framework for open system thermodynamics. The balance equations for open systems differ from the classical balance… Expand

72 8- PDF

Conservation properties of a time FE method—part II: Time-stepping schemes for non-linear elastodynamics

- P. Betsch, P. Steinmann
- Mathematics
- 20 March 2001

In the present paper one-step implicit integration algorithms for non-linear elastodynamics are developed. The discretization process rests on Galerkin methods in space and time. In particular, the… Expand

133 8

Frame‐indifferent beam finite elements based upon the geometrically exact beam theory

- P. Betsch, P. Steinmann
- Mathematics
- 30 August 2002

This paper describes a new beam finite element formulation based upon the geometrically exact beam theory. In contrast to many previously proposed beam finite element formulations the present… Expand

154 8

Inherently Energy Conserving Time Finite Elements for Classical Mechanics

- P. Betsch, P. Steinmann
- Mathematics
- 1 May 2000

In this paper, we develop a finite element method for the temporal discretization of the equations of motion. The continuous Galerkin method is based upon a weighted-residual statement of Hamilton's… Expand

81 7

Hyperelastic models for rubber-like materials: consistent tangent operators and suitability for Treloar’s data

- P. Steinmann, Mokarram Hossain, G. Possart
- Mathematics
- 2 February 2012

Rubber-like materials consist of chain-like macromolecules that are more or less closely connected to each other via entanglements or cross-links. As an idealisation, this particular structure can be… Expand

150 6