I want to understand what is nonlinear tensors and what is the base application of this tensors in engineering like mechanical engineering and metal forming engineering(material engineering)and etc.
thank you
Dear Hossein,
maybe, you are referring to non-linear structure tensors? Then, the Knutsson-Article from 1989 maybe interesting for you.
Kind regards
Hello Hossein Homayoun,
Nonlinear tensors can be explained from nonlinear terms which are included in tto strain equations in the consideration of Taylor series expansion. Linear terms plus nonlinear terms all together generates the nonlinear strain equations. Strain tensor is generated from these strai terms.
Ezgi Günay
thank you for your answers but I want another things:
we have the linear tensors condition( T(a+b)= T(a)+T(b) & T(xa)=xT(a)). so I want to undersatnd what is the nonlinear tensors conditions?
I am not sure what you mean by nonlinear tensor. Please precise the context.
Hi. Mr Philippe Martin
The tensors are linear and nonlinear. the condition of linear tensors are T(a+b)=T(a)+T(b) and T(Ca)=CT(a). I want to understand what is the condition of nonlinear tensors? and what is the application of tensors in physic and material science?
thank you
Hello,
I know tensors, which are multilinear algebraic objects, and tensor fields, which are fields or such multilinear objects. On the other hand, I don't really understand what you call "nonlinear tensors" (can you maybe give a reference?). Moreover I am not sure of what you mean by your conditions (what are a and be (vectors?)? What is C (a scalar? a matrix?)?
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