Filetype PDF | Posted on 25 Jan 2023 | 2 years ago
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201x Filetype PDF File size 1.95 MB Source: biomechanics.stanford.edu
04 - tensor calculus -
tensor analysis
04 - tensor calculus 1
tensor analysis - frechet derivative
• consider smooth differentiable scalar field with
scalar argument
vector argument
tensor argument
• frechet derivative (tensor notation)
scalar argument
vector argument
tensor argument
tensor calculus 2
tensor analysis - gateaux derivative
• consider smooth differentiable scalar field with
scalar argument
vector argument
tensor argument
• gateaux derivative,i.e.,frechet wrt direction (tensor notation)
scalar argument
vector argument
tensor argument
tensor calculus 3
tensor analysis - gradient
• consider scalar- and vector field in domain
• gradient of scalar- and vector field
renders vector- and 2nd order tensor field
tensor calculus 4
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