?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Feprints.imtlucca.it%2F3228%2F&rft.title=Stroh+formalism+in+analysis+of+skew-symmetric+and+symmetric+weight+functions+for+interfacial+cracks&rft.creator=Morini%2C+Lorenzo&rft.creator=Radi%2C+Enrico&rft.creator=Movchan%2C+Alexander&rft.creator=Movchan%2C+Natalia&rft.subject=T+Technology+(General)&rft.subject=TA+Engineering+(General).+Civil+engineering+(General)&rft.subject=TH+Building+construction&rft.description=The+focus+of+the+article+is+on+analysis+of+skew-symmetric+weight+matrix+functions+for+interfacial+cracks+in+two+dimensional+anisotropic+solids.+It+is+shown+that+the+Stroh+formalism+proves+to+be+an+efficient+approach+to+this+challenging+task.+Conventionally%2C+the+weight+functions%2C+both+symmetric+and+skew-symmetric%2C+can+be+identified+as+a+non-trivial+singular+solutions+of+the+homogeneous+boundary+value+problem+for+a+solid+with+a+crack.+For+a+semi-infinite+crack%2C+the+problem+can+be+reduced+to+solving+a+matrix+Wiener-Hopf+functional+equation.+Instead%2C+the+Stroh+matrix+representation+of+displacements+and+tractions%2C+combined+with+a+Riemann-Hilbert+formulation%2C+is+used+to+obtain+an+algebraic+eigenvalue+problem%2C+that+is+solved+in+a+closed+form.+The+proposed+general+method+is+applied+to+the+case+of+a+quasi-static+semi-infinite+crack+propagation+between+two+dissimilar+orthotropic+media%3A+explicit+expressions+for+the+weight+matrix+functions+are+evaluated+and+then+used+in+the+computation+of+complex+stress+intensity+factor+corresponding+to+an+asymmetric+load+acting+on+the+crack+faces.&rft.publisher=arXiv&rft.date=2012&rft.type=Working+Paper&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.rights=cc_by_nc&rft.identifier=http%3A%2F%2Feprints.imtlucca.it%2F3228%2F1%2F1202.5418v2.pdf&rft.identifier=++Morini%2C+Lorenzo+and+Radi%2C+Enrico+and+Movchan%2C+Alexander+and+Movchan%2C+Natalia++Stroh+formalism+in+analysis+of+skew-symmetric+and+symmetric+weight+functions+for+interfacial+cracks.++Working+Paper+++arXiv+++++++(Submitted)+++&rft.relation=http%3A%2F%2Farxiv.org%2Fabs%2F1202.5418