“考虑到...；鉴于...”：这个说法不是句子的谓语部分，而是提供一种理由，是次要成分作状语。英语表达此意时，一般使用介词短语，或者使用现在分词形式（使用现在分词时，不加with）

网友的句子，去掉with，后面加逗号，或者提到句首：

Numerical results on temperature distribution of the structure I, considering the influence of F-T cycles on thermal conductivity and specific heat capacity.

Considering the influence of F-T cycles on thermal conductivity and specific heat capacity.Numerical results on temperature distribution of the structure I.

对于“考虑到；鉴于”的意思，我举一些常见的表达：

1. in view of 

2. with a view to

3. in consideration of

4. seeing (that)

5. considering (that)

6. taking ... into account

7. taking ... into considerarion