PDF2 import PdfReader

Load the PDF file

pdf_path = '/mnt/data/1732678814785jol8taod.pdf' reader = PdfReader(pdf_path)

Extract text from all pages of the PDF

pdf_text = '' for page in reader.pages: pdf_text += page.extract_text()

Show the first 100It seems like the document discusses a constitutive model in computational geotechnics, particularly focused on the "Hardening Soil Model" (HS model) and its formulations, verifications, and applications.

In particular, based on the information from the early part of the document, it appears that the model may reference the use of stress-dependent stiffness and a multi-surface yield criterion to describe material behavior under different loading conditions, with hardening assumed to be isotropic.

To answer your specific question about the role of the parameter $\gamma_p$ in controlling the evolution of the yield surface (屈服面) in equations 7, 8, and 9, I'll need to extract relevant sections from the document that specifically mention these equations. Let me locate the part of the document that contains them.

I will continue parsing the document to Let's search for any references to equations (7), (8), and (9) in the document to locate relevant sections. import re

Search for equations or numbered references in the text

equation_refs = re.findall(r'(\d+)', pdf_text) equation_refs[:30] # Checking the first 30 matches to see if these match equation numbers or other patterns It appears that simple number search isn't giving useful results for the equations.

Let's search for more structured equations like 'Eqn', 'Equation', or symbols used.

equation_mention = re.findall(r'Equation\s*(\d+)', pdf_text)

Also checking for direct LaTeX style equation structures or similar patterns

latex_equation = re.findall(r'$(.*?)$', pdf_text)

equation_mention[:10], latex_equation[:10] # Previewing the first few results searches for equations or LaTeX-style mentions didn't yield relevant results.

Let's now search for keywords like "屈服面" (yield surface) and look for references that might include those equations.

keyword_search = re.findall(r'屈服面', pdf_text)

Check if there are any direct mentions of the equations in the context of the yield surface.

keyword_search[:10] # Previewing the first 10 matches for the keyword "yield The previous searches didn't produce meaningful results. Let me try to locate the content of equations 7, 8, and 9 by identifying possible headings, sections, or numeric references.

I will extract sections around the phrases "equation" and related context.

sections = pdf_text.split('\n')

Let's search for keywords like "equation", "屈服面", and the section headings that might point towards equations.

sections_with_possible_equations = [section for section in sections if 'equation' in section.lower() or '屈服面' in section]

Show some of these sections for further context

sections_with_possible_equations[:15]It seems that the document does reference various equations in the context of constitutive models and plasticity, but specific references to equations 7, 8, and 9 or to "屈服面" (yield surface) have not appeared clearly. The document likely uses a more complex formulation, and the equations may be embedded within technical sections.

I recommend focusing on the sections related to "plastic strain rates" and "multi-surface plasticity," which are common terms in models involving yield surfaces and parameters like $\gamma_p$. If you can provide a more specific section or page number, it will help narrow the focus to the relevant part of the document.

Would you like me to search further for these equations or extract more information from a specific section? Let me know how you'd like to proceed!