iMechanica - consistency condition
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enHelp!!! How to calculate the consistency parameter by consistency condition (potential function) of plasitc flow
https://imechanica.org/node/6974
<div class="field field-name-taxonomy-vocabulary-6 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/76">research</a></div></div></div><div class="field field-name-taxonomy-vocabulary-8 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/169">Plasticity</a></div><div class="field-item odd"><a href="/taxonomy/term/3431">plastic flow</a></div><div class="field-item even"><a href="/taxonomy/term/4300">Potential Function</a></div><div class="field-item odd"><a href="/taxonomy/term/4479">consistency parameter</a></div><div class="field-item even"><a href="/taxonomy/term/4480">consistency condition</a></div></div></div><div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>
hi, there!
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I have read a "Manual for LS-DYNA Wood Material Model 143"(website: <a href="http://www.tfhrc.gov/safety/pubs/04097/sec150.htm#toc_1_5_1">http://www.tfhrc.gov/safety/pubs/04097/sec150.htm#toc_1_5_1</a> and <a href="http://www.tfhrc.gov/safety/pubs/04097/append_e.htm">http://www.tfhrc.gov/safety/pubs/04097/append_e.htm</a>).
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I have two question:
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1. how to calculate the consistency parameter (formula (180)) by potential function, I'm quite not understant how the formula (19), (20), (25), and (26) came out. Could anyone explain it to me or tell me what material I should get and read?
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<a href="http://www.tfhrc.gov/safety/pubs/04097/equations.htm#eqa_180"><img src="http://www.tfhrc.gov/safety/pubs/04097/images/eqfig180.gif" border="0" alt="This equation reads Strain increment superscript p equals the product of plasticity consistency parameter divided by delta viscid with damage stress tensor evaluated at n." width="413" height="69" align="middle" /></a>
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<img src="http://www.tfhrc.gov/safety/pubs/04097/images/eqfig19.gif" border="0" alt="This equation reads lowercase delta I subscript 1 over lowercase delta parallel lambda equals negative 2 times C subscript 11 times stress invariant subscript 1 over general parallel wood strength superscript 2." width="413" height="54" align="middle" /></p>
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<img src="http://www.tfhrc.gov/safety/pubs/04097/images/eqfig20.gif" border="0" alt="This equation reads lowercase delta I subscript 4 over lowercase delta parallel lambda equals negative 4 shear moduli of an orthotropic material subscript 12 stress invariant subscript 4 over parallel shear strength superscript 2." width="413" height="62" align="middle" /></p>
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<a href="http://www.tfhrc.gov/safety/pubs/04097/equations.htm#eqa_25"><img src="http://www.tfhrc.gov/safety/pubs/04097/images/eqfig25.gif" border="0" alt="This equation reads the quotient of lowercase delta I subscript 2 over lowercase delta perpendicular lambda equals the quantity C subscript 22 plus C subscript 23 end quantity, times stress invariant subscript 2, times the quantity of negative 4 over general perpendicular wood strength superscript 2 plus 1 over perpendicular shear strength superscript end quantity." width="413" height="65" align="middle" /></a>
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<a href="http://www.tfhrc.gov/safety/pubs/04097/equations.htm#eqa_26"><img src="http://www.tfhrc.gov/safety/pubs/04097/images/eqfig26.gif" border="0" alt="click on the image for Section 508 compliancy text" width="413" height="64" align="middle" /></a>
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2. the effective strain-rate increment is given by formula (37), I wonder if the strain-rate increment is equal to strain increment divided by time increment?
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<a href="http://www.tfhrc.gov/safety/pubs/04097/equations.htm#eqa_37"><img src="http://www.tfhrc.gov/safety/pubs/04097/images/eqfig37.gif" border="0" alt="This equation reads Parallel scalar effective strain-rate increment equals the square root of the quantity of strain-rate increments parallel to the grain superscript 2 plus 2 times the strain-rate increments parallel to the grain superscript 2 plus 2 times strain-rate increments parallel to the grain superscript 2, end quantity." width="413" height="43" align="middle" /></a>
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thank you!
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</div></div></div>Wed, 21 Oct 2009 21:10:51 +0000michael_chn6974 at https://imechanica.orghttps://imechanica.org/node/6974#commentshttps://imechanica.org/crss/node/6974Error | iMechanica