p*****g
发帖数: 604 | 1 请问lagrangian strain E和eulerian strain e之间如何转换？
在离散的情况下，是不是有以下的关系？
E=(L-L_0)/L_0
e=(L_0-L)/L
假如我用的是ln的形式，
E=ln(L/L_0),e=ln(L_0/L),他们是不是就只差一个正负号？
对于2维的E和e，如何转换呢？ | l******n
发帖数: 335 | 2
in large strain, probably, not right!
square each term
^^^^^^^^^^ ?????? never seen this definition
【在 p*****g 的大作中提到】
: 请问lagrangian strain E和eulerian strain e之间如何转换？
: 在离散的情况下，是不是有以下的关系？
: E=(L-L_0)/L_0
: e=(L_0-L)/L
: 假如我用的是ln的形式，
: E=ln(L/L_0),e=ln(L_0/L),他们是不是就只差一个正负号？
: 对于2维的E和e，如何转换呢？
| a******n
发帖数: 98 | 3 linear lagrangian strain: Lij=(Ui,j+Uj,i)/2
eulerian strain is related to the time change, can not remember the
definition
对于2维的E和e，如何转换呢？tensor operation
find a bood of Continuum Mechanics and it should have the definition and
relation | s***h
发帖数: 592 | 4 your idea of eulerian strain is wrong
strain is related to time?
that is the strain rate definition.
define the displacement gradient Ui,j and Uj,i
lagrange strain is Eij=(Ui,j+Uj,i+Ui,k*Uk,j)/2
eulerian strain is eij=(Ui,j+Uj,i-Ui,k*Uk,j)/2
so if we neglect high order component Ui,k*Uk,j
those two are same at small strain case
at FINITE strain case, Ui,k*Uk,j cannot be neglected
【在 a******n 的大作中提到】
: linear lagrangian strain: Lij=(Ui,j+Uj,i)/2
: eulerian strain is related to the time change, can not remember the
: definition
: 对于2维的E和e，如何转换呢？tensor operation
: find a bood of Continuum Mechanics and it should have the definition and
: relation
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