Evolution equation of viscoelastic medium and exact solutions for generalized thermodynamic forces 粘彈性體發(fā)展方程中關(guān)于熱力學(xué)廣義力精確解
Exact solutions of evolution equation for generalized thermodynamic coordinates of viscoelastic medium 粘彈性體發(fā)展方程關(guān)于熱力學(xué)廣義坐標(biāo)的精確解
In viscoelastic media, the high frequency waves propagate and are damped more quickly than the low frequency ones, so that the shape of the wave will change continuously as it propagates 在粘彈性介質(zhì)里,頻率高的波相對(duì)于頻率低的波而言不僅傳播快,同時(shí)也衰減快,這樣在傳播的過程中它的波形發(fā)生連續(xù)微小的變化。
Any homogeneous viscoelastic medium subjected to one-dimensional tension and compression can be characterized in terms of the phase velocity c ( w ) and the attenuation coefficient deduce the complex modulus and the other equivalent viscoelastic functions 一維的縱向壓縮波在同質(zhì)的粘彈性介質(zhì)中傳播時(shí),材料的粘彈性特性主要通過縱向波的傳播速度c(w)和衰減系數(shù)a(w)兩項(xiàng)來定義。
The paper deduced movement and wave equation of seismic wave field in constant q viscoelastic media using the method of pseudo-spectral, and carried on forward modeling, the modeling result is the same with the one of other modeling ways 摘要本文采用偽譜法推導(dǎo)了常q粘彈介質(zhì)中地震波場(chǎng)的運(yùn)動(dòng)方程和波動(dòng)方程,并進(jìn)行了地震波場(chǎng)數(shù)值正演模擬,模擬結(jié)果達(dá)到了其它模擬方法同樣的效果。
So we say that we can absolutely avoid unnecessary and bothering process in mathematic deducibility if making full use of the method of pseudo-spectral in more complex viscoelastic media, we can get wave equation when directly replacing with two kinds of relaxation modules 由此可以說,如果采用偽譜法模擬其它更復(fù)雜的粘彈介質(zhì)模型時(shí),完全可以避免不必要的而且煩雜的數(shù)學(xué)推導(dǎo)過程;直接將體積松弛模量和剪切松弛模量代入即可得其波動(dòng)方程。
In order to investigate the growth law of bone tissues deeply, osteoblast ( the seeded cell of bone tissue engineering ) is regarded as a incompressible viscoelastic medium . then the mechanical behavior of oeteoblast was analyzed, which is the basis to culture bone tissue 然而為了進(jìn)一步深入細(xì)致地研究骨組織生長規(guī)律,論文將骨組織工程種子細(xì)胞成骨細(xì)胞看成是一種不可壓縮粘彈性體,分析了其在離體培養(yǎng)下的力學(xué)行為,從而為更好地理解生長規(guī)律,并為骨組織的離體培養(yǎng)提供理論依據(jù)。
These results are consistent with the results from gross and salzstein and so on . osteoblast is the seeded cell of bone tissue engineering . now, in order to research the response of the osteoblast when it is cultured with mechanical stimulating, the paper consider the osteoblast as an homogeneous, isotropic, incompressible viscoelastic medium 由于成骨細(xì)胞是骨組織工程的種子細(xì)胞,為研究其在機(jī)械刺激離體培養(yǎng)下的受力情況,論文將成骨細(xì)胞看作是一種均勻、各向同性、不可壓縮粘彈性體,然后應(yīng)用數(shù)值方法將物理關(guān)系中的遺傳積分展開,從而導(dǎo)出物理關(guān)系的矩陣形式。