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{{Infobox scientist
This is a preview for the new '''MathML rendering mode''' (with SVG fallback), which is availble in production for registered users.
|name              = Yuan-Cheng Fung<br />馮元楨
|image            =
|birth_date        = {{Birth date and age|1919|9|15|mf=yes}}
|birth_place      = [[Changzhou]], [[Jiangsu]], China
|death_date        =
|death_place      =
|residence        = [[USA]]
|citizenship      = [[United States|American]]
|nationality      = [[USA|American]]
|ethnicity        = [[Han Chinese|Chinese]]
|field            = [[Bioengineering]]<br />[[Biomechanics]]
|work_institutions = [[Caltech]]<br />[[University of California, San Diego|UCSD]]
|alma_mater        = [[Nanjing University]]<br />[[Caltech]]
|doctoral_advisor  =  [[Ernest Edwin Sechler|Ernest Sechler]]
|doctoral_students =
|known_for        = [[bioengineering]]<br />[[biomechanics]]
|author_abbrev_bot =
|author_abbrev_zoo =
|influences        =
|influenced        =
|prizes            = {{no wrap|[[Theodore von Karman Medal|von Karman Medal]] (1976) <br /> [[Otto Laporte Award]] (1977) <br />[[Timoshenko Medal]] (1991) <br>[[National Medal of Science]] (2000)<br />[[Jordan Allen Medal]] (1991)<br />[[Russ Prize]] (2007)}}
|religion          =
|footnotes        =
|signature        =
}}


'''Yuan-Cheng "Bert" Fung''' (born 1919) is an American bio-engineer. He is regarded as a founding figure of [[bioengineering]], [[tissue engineering]], and the "Founder of Modern [[Biomechanics]]".<ref>[http://www.techscience.com/mcb_pdf/v1n1/pdf/184288277842.pdf YC “Bert” Fung: The Father of Modern Biomechanics (pdf)]</ref>
If you would like use the '''MathML''' rendering mode, you need a wikipedia user account that can be registered here [[https://en.wikipedia.org/wiki/Special:UserLogin/signup]]
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==Biography==
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Fung was born in [[Jiangsu]] Province, [[China]] in 1919. He earned a Bachelor's degree in 1941 and a Master's degree in 1943 from the [[National Central University]] (later renamed [[Nanjing University]] in [[mainland China]] and reinstated in [[Taiwan]]), and earned a Ph.D. from the [[California Institute of Technology]] in the [[United States]] in 1948.


Fung currently is Professor Emeritus and Research Engineer at the [[University of California, San Diego|University of California, San Diego (UCSD)]].
'''MathML'''
:<math forcemathmode="mathml">E=mc^2</math>


==Research==
<!--'''PNG''' (currently default in production)
He is the author of numerous books including Foundations of Solid Mechanics, Continuum Mechanics, and a series of books on Biomechanics. He is also one of the principal founders of the ''Journal of Biomechanics'' and was a past chair of the [[American Society of Mechanical Engineers|ASME]] International [[Applied Mechanics Division]]. In 1972, Fung established the Biomechanics Symposium under the American Society of Mechanical Engineers. This biannual summer meeting, first held at the Georgia Institute of Technology, became the annual Summer Bioengineering Conference. Fung and colleagues were also the first to recognize the importance of residual stress on arterial mechanical behavior.<ref name="residual">{{cite journal
:<math forcemathmode="png">E=mc^2</math>
|author=Chuong,C.J. and Y.C. Fung
|title=On Residual Stress in Arteries
|journal=Journal of Biomechanics
|year=1986
|volume=108
|pages=189–192
|doi=10.1115/1.3138600
|issue=2}}</ref>


===Fung's Law===
'''source'''
Fung's famous exponential strain [[constitutive equation]] for preconditioned [[soft tissues]] is
:<math forcemathmode="source">E=mc^2</math> -->
:<math>w = \frac{1}{2}\left[q + c\left( e^Q -1 \right) \right]</math>
with
:<math>q=a_{ijkl}E_{ij}E_{kl} \qquad Q=b_{ijkl}E_{ij}E_{kl}</math>
quadratic forms of [[strain (mechanics)|Green-Lagrange strains]] <math>E_{ij}</math> and <math>a_{ijkl}</math>, <math>b_{ijkl}</math> and <math>c</math> material constants.<ref name="Fung">{{cite book
|author=Fung, Y.-C.
|title=Biomechanics: Mechanical Properties of Living Tissues
|publisher=Springer-Verlag
|location=New York
|year=1993
|pages= 568
|isbn=0-387-97947-6}}</ref> <math>w</math> is a [[strain energy]] function per volume unit, which is the mechanical strain energy for a given temperature. Materials that follow this law are known as '''Fung-elastic'''.<ref name="Humphrey">{{cite journal
|author=Humphrey, Jay D.
|title=Continuum biomechanics of soft biological tissues
|journal=Proceedings of the Royal Society of London A
|editor=The Royal Society
|year=2003
|volume=459
|pages=3–43


|doi=10.1098/rspa.2002.1060
<span style="color: red">Follow this [https://en.wikipedia.org/wiki/Special:Preferences#mw-prefsection-rendering link] to change your Math rendering settings.</span> You can also add a [https://en.wikipedia.org/wiki/Special:Preferences#mw-prefsection-rendering-skin Custom CSS] to force the MathML/SVG rendering or select different font families. See [https://www.mediawiki.org/wiki/Extension:Math#CSS_for_the_MathML_with_SVG_fallback_mode these examples].
|url=http://rspa.royalsocietypublishing.org/content/459/2029/3.full.pdf
|bibcode=2003RSPSA.459....3H
|issue=2029}}</ref>


==Honors and awards==
==Demos==
* [[Theodore von Karman Medal]], 1976
* [[Otto Laporte Award]], 1977
* Worcester Reed Warner Medal, 1984 <ref>[http://www.asme.org/Governance/Honors/SocietyAwards/Worcester_Reed_Warner_Medal.cfm WORCESTER REED WARNER MEDAL RECIPIENTS]</ref>
* Jean-Leonard-Marie Poiseuille Award, 1986<ref>[http://www.coe.ou.edu/isb/awardees/1986.htm The International Society of Biorheology: Yuan-Cheng Fung, 1986 Recipient of the Jean-Leonard-Marie Poiseuille Award]</ref>
* [[Timoshenko Medal]], 1991
* Lissner Award for Bioengineering, from ASME
* Borelli Medal, from ASB
* Landis Award, from Microcirculation Society
* Alza Award, from BMES
* Melville Medal, 1994 <ref>[http://www.asme.org/Governance/Honors/SocietyAwards/Melville_Medal.cfm MELVILLE MEDAL RECIPIENTS]</ref>
* United States National Academy of Engineering Founders Award (NAE Founders Award), 1998
* [[National Medal of Science]], 2000
* [[Russ Prize|Fritz J. and Dolores H. Russ Prize]], 2007 ("for the characterization and modeling of human tissue mechanics and function leading to prevention and mitigation of trauma.")<ref>[http://www.nae.edu/nae/awardscom.nsf/weblinks/JMAN-6X5NY5?OpenDocument Recipient of the Fritz J. and Dolores H. Russ Prize]</ref>


Fung was elected to the [[United States National Academy of Science]] (1993), the [[National Academy of Engineering]] (1979), the [[Institute of Medicine]] (1991), the [[Academia Sinica]] (1968), and is a Foreign Member of the [[Chinese Academy of Sciences]] (1994 election).
Here are some [https://commons.wikimedia.org/w/index.php?title=Special:ListFiles/Frederic.wang demos]:


==References==
{{reflist}}


==External links==
* accessibility:
*[http://www.jacobsschool.ucsd.edu/faculty/faculty_bios/findprofile.sfe?department=BENG&fmp_recid=21 Profile at UCSD]
** Safari + VoiceOver: [https://commons.wikimedia.org/wiki/File:VoiceOver-Mac-Safari.ogv video only], [[File:Voiceover-mathml-example-1.wav|thumb|Voiceover-mathml-example-1]], [[File:Voiceover-mathml-example-2.wav|thumb|Voiceover-mathml-example-2]], [[File:Voiceover-mathml-example-3.wav|thumb|Voiceover-mathml-example-3]], [[File:Voiceover-mathml-example-4.wav|thumb|Voiceover-mathml-example-4]], [[File:Voiceover-mathml-example-5.wav|thumb|Voiceover-mathml-example-5]], [[File:Voiceover-mathml-example-6.wav|thumb|Voiceover-mathml-example-6]], [[File:Voiceover-mathml-example-7.wav|thumb|Voiceover-mathml-example-7]]
*Y.C. Fung, [http://amresearch.blogspot.com/2006/07/1991-timoshenko-medal-lecture-by-yuan.html Mechanics of Man], Acceptance Speech for the Timoshenko Medal.
** [https://commons.wikimedia.org/wiki/File:MathPlayer-Audio-Windows7-InternetExplorer.ogg Internet Explorer + MathPlayer (audio)]
*[http://www.asme.org/Governance/Honors/SocietyAwards/YC_Fung_Young_Investigator.cfm YC Fung Young Investigator Award]
** [https://commons.wikimedia.org/wiki/File:MathPlayer-SynchronizedHighlighting-WIndows7-InternetExplorer.png Internet Explorer + MathPlayer (synchronized highlighting)]
*[http://www.techscience.com/mcb_pdf/v1n1/pdf/171267552381.pdf YC Fung: A Scientific Giant and a Kind Man (pdf)]
** [https://commons.wikimedia.org/wiki/File:MathPlayer-Braille-Windows7-InternetExplorer.png Internet Explorer + MathPlayer (braille)]
*[http://www.techscience.com/books/fung.html Molecular & Cellular Biomechanics: In Honor of The 90th Birthday of Professor Yuan Cheng Fung ]
** NVDA+MathPlayer: [[File:Nvda-mathml-example-1.wav|thumb|Nvda-mathml-example-1]], [[File:Nvda-mathml-example-2.wav|thumb|Nvda-mathml-example-2]], [[File:Nvda-mathml-example-3.wav|thumb|Nvda-mathml-example-3]], [[File:Nvda-mathml-example-4.wav|thumb|Nvda-mathml-example-4]], [[File:Nvda-mathml-example-5.wav|thumb|Nvda-mathml-example-5]], [[File:Nvda-mathml-example-6.wav|thumb|Nvda-mathml-example-6]], [[File:Nvda-mathml-example-7.wav|thumb|Nvda-mathml-example-7]].
** Orca: There is ongoing work, but no support at all at the moment [[File:Orca-mathml-example-1.wav|thumb|Orca-mathml-example-1]], [[File:Orca-mathml-example-2.wav|thumb|Orca-mathml-example-2]], [[File:Orca-mathml-example-3.wav|thumb|Orca-mathml-example-3]], [[File:Orca-mathml-example-4.wav|thumb|Orca-mathml-example-4]], [[File:Orca-mathml-example-5.wav|thumb|Orca-mathml-example-5]], [[File:Orca-mathml-example-6.wav|thumb|Orca-mathml-example-6]], [[File:Orca-mathml-example-7.wav|thumb|Orca-mathml-example-7]].
** From our testing, ChromeVox and JAWS are not able to read the formulas generated by the MathML mode.


{{Winners of the National Medal of Science|engineering}}
==Test pages ==


{{Authority control|VIAF=85337796}}
To test the '''MathML''', '''PNG''', and '''source''' rendering modes, please go to one of the following test pages:
{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
*[[Displaystyle]]
| NAME              = Fung, Yuan-Cheng
*[[MathAxisAlignment]]
| ALTERNATIVE NAMES =
*[[Styling]]
| SHORT DESCRIPTION = American bio engineer
*[[Linebreaking]]
| DATE OF BIRTH    = September 15, 1919
*[[Unique Ids]]
| PLACE OF BIRTH    = [[Changzhou]], [[Jiangsu]], China
*[[Help:Formula]]
| DATE OF DEATH    =
 
| PLACE OF DEATH    =
*[[Inputtypes|Inputtypes (private Wikis only)]]
}}
*[[Url2Image|Url2Image (private Wikis only)]]
{{DEFAULTSORT:Fung, Yuan-Cheng}}
==Bug reporting==
[[Category:1919 births]]
If you find any bugs, please report them at [https://bugzilla.wikimedia.org/enter_bug.cgi?product=MediaWiki%20extensions&component=Math&version=master&short_desc=Math-preview%20rendering%20problem Bugzilla], or write an email to math_bugs (at) ckurs (dot) de .
[[Category:American engineers]]
[[Category:Biological engineering]]
[[Category:Bioengineers]]
[[Category:California Institute of Technology alumni]]
[[Category:California Institute of Technology faculty]]
[[Category:Chinese emigrants to the United States]]
[[Category:Guggenheim Fellows]]
[[Category:Living people]]
[[Category:Members of Academia Sinica]]
[[Category:Members of the United States National Academy of Sciences]]
[[Category:National Medal of Science laureates]]
[[Category:Nanjing University alumni]]
[[Category:National Central University alumni]]
[[Category:People from Changzhou]]
[[Category:University of California, San Diego faculty]]
[[Category:Members of the United States National Academy of Engineering]]

Latest revision as of 23:52, 15 September 2019

This is a preview for the new MathML rendering mode (with SVG fallback), which is availble in production for registered users.

If you would like use the MathML rendering mode, you need a wikipedia user account that can be registered here [[1]]

  • Only registered users will be able to execute this rendering mode.
  • Note: you need not enter a email address (nor any other private information). Please do not use a password that you use elsewhere.

Registered users will be able to choose between the following three rendering modes:

MathML


Follow this link to change your Math rendering settings. You can also add a Custom CSS to force the MathML/SVG rendering or select different font families. See these examples.

Demos

Here are some demos:


Test pages

To test the MathML, PNG, and source rendering modes, please go to one of the following test pages:

Bug reporting

If you find any bugs, please report them at Bugzilla, or write an email to math_bugs (at) ckurs (dot) de .

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