sfepy.terms.terms_hyperelastic_base module

class sfepy.terms.terms_hyperelastic_base.DeformationGradientTerm(name, arg_str, integral, region, **kwargs)

Deformation gradient

System Message: WARNING/2 (\ull{F})

latex exited with error [stdout] This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013/TeX Live for SUSE Linux) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2011/06/27> Babel <3.9f> and hyphenation patterns for 78 languages loaded. (/usr/share/texmf/tex/latex/base/article.cls Document Class: article 2007/10/19 v1.4h Standard LaTeX document class (/usr/share/texmf/tex/latex/base/size12.clo)) (/usr/share/texmf/tex/latex/base/inputenc.sty ! LaTeX Error: File `utf8x.def’ not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: def) Enter file name: ! Emergency stop. <read *> l.131 \endinput ^^M No pages of output. Transcript written on math.log.

in quadrature points for term_mode=’def_grad’ (default) or the jacobian

System Message: WARNING/2 (J)

latex exited with error [stdout] This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013/TeX Live for SUSE Linux) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2011/06/27> Babel <3.9f> and hyphenation patterns for 78 languages loaded. (/usr/share/texmf/tex/latex/base/article.cls Document Class: article 2007/10/19 v1.4h Standard LaTeX document class (/usr/share/texmf/tex/latex/base/size12.clo)) (/usr/share/texmf/tex/latex/base/inputenc.sty ! LaTeX Error: File `utf8x.def’ not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: def) Enter file name: ! Emergency stop. <read *> l.131 \endinput ^^M No pages of output. Transcript written on math.log.

if term_mode=’jacobian’.

Supports ‘eval’, ‘el_avg’ and ‘qp’ evaluation modes.

Definition:

System Message: WARNING/2 (\ull{F} = \pdiff{\ul{x}}{\ul{X}}|_{qp} = \ull{I} + \pdiff{\ul{u}}{\ul{X}}|_{qp} \;, \\ \ul{x} = \ul{X} + \ul{u} \;, J = \det{(\ull{F})} )

latex exited with error [stdout] This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013/TeX Live for SUSE Linux) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2011/06/27> Babel <3.9f> and hyphenation patterns for 78 languages loaded. (/usr/share/texmf/tex/latex/base/article.cls Document Class: article 2007/10/19 v1.4h Standard LaTeX document class (/usr/share/texmf/tex/latex/base/size12.clo)) (/usr/share/texmf/tex/latex/base/inputenc.sty ! LaTeX Error: File `utf8x.def’ not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: def) Enter file name: ! Emergency stop. <read *> l.131 \endinput ^^M No pages of output. Transcript written on math.log.

Call signature:

ev_def_grad

(parameter)

Arguments:

• parameter :

  System Message: WARNING/2 (\ul{u})

  latex exited with error [stdout] This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013/TeX Live for SUSE Linux) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2011/06/27> Babel <3.9f> and hyphenation patterns for 78 languages loaded. (/usr/share/texmf/tex/latex/base/article.cls Document Class: article 2007/10/19 v1.4h Standard LaTeX document class (/usr/share/texmf/tex/latex/base/size12.clo)) (/usr/share/texmf/tex/latex/base/inputenc.sty ! LaTeX Error: File `utf8x.def’ not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: def) Enter file name: ! Emergency stop. <read *> l.131 \endinput ^^M No pages of output. Transcript written on math.log.

arg_shapes = {'parameter': 'D'}

arg_types = ('parameter',)

static function(out, vec, vg, econn, term_mode, fmode)

get_eval_shape(parameter, mode=None, term_mode=None, diff_var=None, **kwargs)

get_fargs(parameter, mode=None, term_mode=None, diff_var=None, **kwargs)

name = 'ev_def_grad'

class sfepy.terms.terms_hyperelastic_base.HyperElasticBase(*args, **kwargs)

Base class for all hyperelastic terms in TL/UL formulation.

HyperElasticBase.__call__() computes element contributions given either stress (-> rezidual) or tangent modulus (-> tangent sitffnes matrix), i.e. constitutive relation type (CRT) related data. The CRT data are computed in subclasses implementing particular CRT (e.g. neo-Hookean material), in self.compute_crt_data().

Modes:

• 0: total formulation
• 1: updated formulation

Notes

This is not a proper Term!

arg_shapes = {'state': 'D', 'material': '1, 1', 'virtual': ('D', 'state')}

arg_types = ('material', 'virtual', 'state')

compute_stress(mat, family_data, **kwargs)

compute_tan_mod(mat, family_data, **kwargs)

static function(out, fun, *args)

get_eval_shape(mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs)

get_family_data(state, cache_name, data_names)

Notes

data_names argument is ignored for now.

get_fargs(mat, virtual, state, mode=None, term_mode=None, diff_var=None, **kwargs)

static integrate(out, val_qp, vg, fmode)